求导函数：
输入一个原函数（即需要求导的函数），然后设置需要求导的变量和求导的阶数，点击“下一步”按钮，即可获得该函数相应阶数的导函数。
注意，输入的函数支持数学函数和其它常量。
输入一个原函数（即需要求导的函数），然后设置需要求导的变量和求导的阶数，点击“下一步”按钮，即可获得该函数相应阶数的导函数。
注意，输入的函数支持数学函数和其它常量。
本次共计算 1 个题目：每一题对 x 求 4 阶导数。
注意，变量是区分大小写的。
\[ \begin{equation}\begin{split}【1/1】求函数\frac{e^{tan(ln(x))}x}{({x}^{x} - lg(x))} 关于 x 的 4 阶导数：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = \frac{xe^{tan(ln(x))}}{({x}^{x} - lg(x))}\\&\color{blue}{函数的第 1 阶导数：}\\&\frac{d\left( \frac{xe^{tan(ln(x))}}{({x}^{x} - lg(x))}\right)}{dx}\\=&(\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{2}})xe^{tan(ln(x))} + \frac{e^{tan(ln(x))}}{({x}^{x} - lg(x))} + \frac{xe^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})}{({x}^{x} - lg(x))}\\=&\frac{-x{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{2}} - \frac{x{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}} + \frac{e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}ln{10}} + \frac{e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))} + \frac{e^{tan(ln(x))}}{({x}^{x} - lg(x))}\\\\ &\color{blue}{函数的第 2 阶导数：} \\&\frac{d\left( \frac{-x{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{2}} - \frac{x{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}} + \frac{e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}ln{10}} + \frac{e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))} + \frac{e^{tan(ln(x))}}{({x}^{x} - lg(x))}\right)}{dx}\\=&-(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{3}})x{x}^{x}e^{tan(ln(x))}ln(x) - \frac{{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{2}} - \frac{x({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{2}} - \frac{x{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln(x)}{({x}^{x} - lg(x))^{2}} - \frac{x{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}(x)} - (\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{3}})x{x}^{x}e^{tan(ln(x))} - \frac{{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}} - \frac{x({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}} - \frac{x{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})}{({x}^{x} - lg(x))^{2}} + \frac{(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{3}})e^{tan(ln(x))}}{ln{10}} + \frac{e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})}{({x}^{x} - lg(x))^{2}ln{10}} + \frac{e^{tan(ln(x))}*-0}{({x}^{x} - lg(x))^{2}ln^{2}{10}} + (\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{2}})e^{tan(ln(x))}sec^{2}(ln(x)) + \frac{e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})sec^{2}(ln(x))}{({x}^{x} - lg(x))} + \frac{e^{tan(ln(x))}*2sec^{2}(ln(x))tan(ln(x))}{({x}^{x} - lg(x))(x)} + (\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{2}})e^{tan(ln(x))} + \frac{e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})}{({x}^{x} - lg(x))}\\=&\frac{2x{x}^{(2x)}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{3}} + \frac{4x{x}^{(2x)}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}} - \frac{2{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}ln{10}} - \frac{2{x}^{x}e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}} - \frac{x{x}^{x}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{2}} - \frac{2x{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{2}} - \frac{2{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}ln{10}} - \frac{2{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}} + \frac{2x{x}^{(2x)}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}} - \frac{4{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}ln{10}} - \frac{x{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}} - \frac{2{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{2}} - \frac{3{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}} + \frac{2e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}xln{10}} + \frac{2e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}xln^{2}{10}} + \frac{e^{tan(ln(x))}sec^{4}(ln(x))}{({x}^{x} - lg(x))x} + \frac{2e^{tan(ln(x))}tan(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))x} + \frac{e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}xln{10}} + \frac{e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))x}\\\\ &\color{blue}{函数的第 3 阶导数：} \\&\frac{d\left( \frac{2x{x}^{(2x)}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{3}} + \frac{4x{x}^{(2x)}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}} - \frac{2{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}ln{10}} - \frac{2{x}^{x}e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}} - \frac{x{x}^{x}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{2}} - \frac{2x{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{2}} - \frac{2{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}ln{10}} - \frac{2{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}} + \frac{2x{x}^{(2x)}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}} - \frac{4{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}ln{10}} - \frac{x{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}} - \frac{2{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{2}} - \frac{3{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}} + \frac{2e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}xln{10}} + \frac{2e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}xln^{2}{10}} + \frac{e^{tan(ln(x))}sec^{4}(ln(x))}{({x}^{x} - lg(x))x} + \frac{2e^{tan(ln(x))}tan(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))x} + \frac{e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}xln{10}} + \frac{e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))x}\right)}{dx}\\=&2(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{4}})x{x}^{(2x)}e^{tan(ln(x))}ln^{2}(x) + \frac{2{x}^{(2x)}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{3}} + \frac{2x({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{3}} + \frac{2x{x}^{(2x)}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln^{2}(x)}{({x}^{x} - lg(x))^{3}} + \frac{2x{x}^{(2x)}e^{tan(ln(x))}*2ln(x)}{({x}^{x} - lg(x))^{3}(x)} + 4(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{4}})x{x}^{(2x)}e^{tan(ln(x))}ln(x) + \frac{4{x}^{(2x)}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}} + \frac{4x({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}} + \frac{4x{x}^{(2x)}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln(x)}{({x}^{x} - lg(x))^{3}} + \frac{4x{x}^{(2x)}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}(x)} - \frac{2(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{4}}){x}^{x}e^{tan(ln(x))}ln(x)}{ln{10}} - \frac{2({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}ln{10}} - \frac{2{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln(x)}{({x}^{x} - lg(x))^{3}ln{10}} - \frac{2{x}^{x}e^{tan(ln(x))}*-0ln(x)}{({x}^{x} - lg(x))^{3}ln^{2}{10}} - \frac{2{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}ln{10}(x)} - 2(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{3}}){x}^{x}e^{tan(ln(x))}ln(x)sec^{2}(ln(x)) - \frac{2({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}} - \frac{2{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}} - \frac{2{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}(x)} - \frac{2{x}^{x}e^{tan(ln(x))}ln(x)*2sec^{2}(ln(x))tan(ln(x))}{({x}^{x} - lg(x))^{2}(x)} - (\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{3}})x{x}^{x}e^{tan(ln(x))}ln^{2}(x) - \frac{{x}^{x}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{2}} - \frac{x({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{2}} - \frac{x{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln^{2}(x)}{({x}^{x} - lg(x))^{2}} - \frac{x{x}^{x}e^{tan(ln(x))}*2ln(x)}{({x}^{x} - lg(x))^{2}(x)} - 2(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{3}})x{x}^{x}e^{tan(ln(x))}ln(x) - \frac{2{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{2}} - \frac{2x({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{2}} - \frac{2x{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln(x)}{({x}^{x} - lg(x))^{2}} - \frac{2x{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}(x)} - \frac{2(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{4}}){x}^{x}e^{tan(ln(x))}ln(x)}{ln{10}} - \frac{2({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}ln{10}} - \frac{2{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln(x)}{({x}^{x} - lg(x))^{3}ln{10}} - \frac{2{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}(x)ln{10}} - \frac{2{x}^{x}e^{tan(ln(x))}ln(x)*-0}{({x}^{x} - lg(x))^{3}ln^{2}{10}} - 2(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{3}}){x}^{x}e^{tan(ln(x))}sec^{2}(ln(x)) - \frac{2({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}} - \frac{2{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}} - \frac{2{x}^{x}e^{tan(ln(x))}*2sec^{2}(ln(x))tan(ln(x))}{({x}^{x} - lg(x))^{2}(x)} + 2(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{4}})x{x}^{(2x)}e^{tan(ln(x))} + \frac{2{x}^{(2x)}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}} + \frac{2x({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}} + \frac{2x{x}^{(2x)}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})}{({x}^{x} - lg(x))^{3}} - \frac{4(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{4}}){x}^{x}e^{tan(ln(x))}}{ln{10}} - \frac{4({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}ln{10}} - \frac{4{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})}{({x}^{x} - lg(x))^{3}ln{10}} - \frac{4{x}^{x}e^{tan(ln(x))}*-0}{({x}^{x} - lg(x))^{3}ln^{2}{10}} - (\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{3}})x{x}^{x}e^{tan(ln(x))} - \frac{{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}} - \frac{x({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}} - \frac{x{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})}{({x}^{x} - lg(x))^{2}} - 2(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{3}}){x}^{x}e^{tan(ln(x))}ln(x) - \frac{2({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{2}} - \frac{2{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln(x)}{({x}^{x} - lg(x))^{2}} - \frac{2{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}(x)} - 3(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{3}}){x}^{x}e^{tan(ln(x))} - \frac{3({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}} - \frac{3{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})}{({x}^{x} - lg(x))^{2}} + \frac{2(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{3}})e^{tan(ln(x))}sec^{2}(ln(x))}{xln{10}} + \frac{2*-e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x^{2}ln{10}} + \frac{2e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}xln{10}} + \frac{2e^{tan(ln(x))}*-0sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}xln^{2}{10}} + \frac{2e^{tan(ln(x))}*2sec^{2}(ln(x))tan(ln(x))}{({x}^{x} - lg(x))^{2}xln{10}(x)} + \frac{2(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{4}})e^{tan(ln(x))}}{xln^{2}{10}} + \frac{2*-e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}x^{2}ln^{2}{10}} + \frac{2e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})}{({x}^{x} - lg(x))^{3}xln^{2}{10}} + \frac{2e^{tan(ln(x))}*-2*0}{({x}^{x} - lg(x))^{3}xln^{3}{10}} + \frac{(\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{2}})e^{tan(ln(x))}sec^{4}(ln(x))}{x} + \frac{-e^{tan(ln(x))}sec^{4}(ln(x))}{({x}^{x} - lg(x))x^{2}} + \frac{e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})sec^{4}(ln(x))}{({x}^{x} - lg(x))x} + \frac{e^{tan(ln(x))}*4sec^{4}(ln(x))tan(ln(x))}{({x}^{x} - lg(x))x(x)} + \frac{2(\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{2}})e^{tan(ln(x))}tan(ln(x))sec^{2}(ln(x))}{x} + \frac{2*-e^{tan(ln(x))}tan(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))x^{2}} + \frac{2e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})tan(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))x} + \frac{2e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})sec^{2}(ln(x))}{({x}^{x} - lg(x))x} + \frac{2e^{tan(ln(x))}tan(ln(x))*2sec^{2}(ln(x))tan(ln(x))}{({x}^{x} - lg(x))x(x)} + \frac{(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{3}})e^{tan(ln(x))}}{xln{10}} + \frac{-e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}x^{2}ln{10}} + \frac{e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})}{({x}^{x} - lg(x))^{2}xln{10}} + \frac{e^{tan(ln(x))}*-0}{({x}^{x} - lg(x))^{2}xln^{2}{10}} + \frac{(\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{2}})e^{tan(ln(x))}sec^{2}(ln(x))}{x} + \frac{-e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))x^{2}} + \frac{e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})sec^{2}(ln(x))}{({x}^{x} - lg(x))x} + \frac{e^{tan(ln(x))}*2sec^{2}(ln(x))tan(ln(x))}{({x}^{x} - lg(x))x(x)}\\=& - \frac{6{x}^{x}e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}xln{10}} - \frac{12{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}xln{10}} + \frac{6{x}^{(2x)}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{4}ln{10}} + \frac{6{x}^{(2x)}e^{tan(ln(x))}ln^{2}(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}} - \frac{6{x}^{x}e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}xln{10}} - \frac{12{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{4}xln^{2}{10}} + \frac{12{x}^{(2x)}e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}} + \frac{18{x}^{(2x)}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{4}ln{10}} - \frac{4{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}xln{10}} + \frac{12{x}^{(2x)}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{4}ln{10}} - \frac{3{x}^{x}e^{tan(ln(x))}ln(x)sec^{4}(ln(x))}{({x}^{x} - lg(x))^{2}x} - \frac{6{x}^{x}e^{tan(ln(x))}ln(x)tan(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x} - \frac{4{x}^{x}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{3}ln{10}} + \frac{6{x}^{(2x)}e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}} - \frac{3{x}^{x}e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x} - \frac{6{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{4}xln^{2}{10}} - \frac{3{x}^{x}e^{tan(ln(x))}ln^{2}(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}} - \frac{6{x}^{x}e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}} - \frac{2{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}xln{10}} - \frac{2{x}^{x}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{3}ln{10}} - \frac{6{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}ln{10}} + \frac{6x{x}^{(2x)}e^{tan(ln(x))}ln^{3}(x)}{({x}^{x} - lg(x))^{3}} - \frac{6{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x} - \frac{18x{x}^{(3x)}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{4}} + \frac{18x{x}^{(2x)}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{3}} - \frac{x{x}^{x}e^{tan(ln(x))}ln^{3}(x)}{({x}^{x} - lg(x))^{2}} - \frac{3x{x}^{x}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{2}} + \frac{18{x}^{(2x)}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{4}ln{10}} + \frac{18x{x}^{(2x)}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}} - \frac{6{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}ln{10}} - \frac{3x{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{2}} - \frac{3{x}^{x}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{2}} - \frac{3{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}} + \frac{18{x}^{(2x)}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}} - \frac{9{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{2}} + \frac{6{x}^{(2x)}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{3}} - \frac{3{x}^{x}e^{tan(ln(x))}sec^{4}(ln(x))}{({x}^{x} - lg(x))^{2}x} - \frac{6{x}^{x}e^{tan(ln(x))}tan(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x} - \frac{18{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{4}xln^{2}{10}} + \frac{18{x}^{(2x)}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{4}ln{10}} - \frac{6{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}ln{10}} - \frac{12{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}xln{10}} - \frac{6x{x}^{(3x)}e^{tan(ln(x))}ln^{3}(x)}{({x}^{x} - lg(x))^{4}} - \frac{18x{x}^{(3x)}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{4}} + \frac{12{x}^{(2x)}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}} - \frac{6{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}} - \frac{6x{x}^{(3x)}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{4}} - \frac{2{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}x} + \frac{6x{x}^{(2x)}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}} + \frac{6e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}x^{2}ln^{2}{10}} + \frac{3e^{tan(ln(x))}sec^{4}(ln(x))}{({x}^{x} - lg(x))^{2}x^{2}ln{10}} + \frac{6e^{tan(ln(x))}tan(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x^{2}ln{10}} + \frac{6e^{tan(ln(x))}}{({x}^{x} - lg(x))^{4}x^{2}ln^{3}{10}} + \frac{2e^{tan(ln(x))}sec^{4}(ln(x))}{({x}^{x} - lg(x))x^{2}} + \frac{e^{tan(ln(x))}sec^{6}(ln(x))}{({x}^{x} - lg(x))x^{2}} + \frac{6e^{tan(ln(x))}tan(ln(x))sec^{4}(ln(x))}{({x}^{x} - lg(x))x^{2}} + \frac{4e^{tan(ln(x))}tan^{2}(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))x^{2}} - \frac{x{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}} - \frac{e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}x^{2}ln{10}} - \frac{e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))x^{2}}\\\\ &\color{blue}{函数的第 4 阶导数：} \\&\frac{d\left( - \frac{6{x}^{x}e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}xln{10}} - \frac{12{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}xln{10}} + \frac{6{x}^{(2x)}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{4}ln{10}} + \frac{6{x}^{(2x)}e^{tan(ln(x))}ln^{2}(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}} - \frac{6{x}^{x}e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}xln{10}} - \frac{12{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{4}xln^{2}{10}} + \frac{12{x}^{(2x)}e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}} + \frac{18{x}^{(2x)}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{4}ln{10}} - \frac{4{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}xln{10}} + \frac{12{x}^{(2x)}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{4}ln{10}} - \frac{3{x}^{x}e^{tan(ln(x))}ln(x)sec^{4}(ln(x))}{({x}^{x} - lg(x))^{2}x} - \frac{6{x}^{x}e^{tan(ln(x))}ln(x)tan(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x} - \frac{4{x}^{x}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{3}ln{10}} + \frac{6{x}^{(2x)}e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}} - \frac{3{x}^{x}e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x} - \frac{6{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{4}xln^{2}{10}} - \frac{3{x}^{x}e^{tan(ln(x))}ln^{2}(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}} - \frac{6{x}^{x}e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}} - \frac{2{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}xln{10}} - \frac{2{x}^{x}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{3}ln{10}} - \frac{6{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}ln{10}} + \frac{6x{x}^{(2x)}e^{tan(ln(x))}ln^{3}(x)}{({x}^{x} - lg(x))^{3}} - \frac{6{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x} - \frac{18x{x}^{(3x)}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{4}} + \frac{18x{x}^{(2x)}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{3}} - \frac{x{x}^{x}e^{tan(ln(x))}ln^{3}(x)}{({x}^{x} - lg(x))^{2}} - \frac{3x{x}^{x}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{2}} + \frac{18{x}^{(2x)}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{4}ln{10}} + \frac{18x{x}^{(2x)}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}} - \frac{6{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}ln{10}} - \frac{3x{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{2}} - \frac{3{x}^{x}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{2}} - \frac{3{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}} + \frac{18{x}^{(2x)}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}} - \frac{9{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{2}} + \frac{6{x}^{(2x)}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{3}} - \frac{3{x}^{x}e^{tan(ln(x))}sec^{4}(ln(x))}{({x}^{x} - lg(x))^{2}x} - \frac{6{x}^{x}e^{tan(ln(x))}tan(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x} - \frac{18{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{4}xln^{2}{10}} + \frac{18{x}^{(2x)}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{4}ln{10}} - \frac{6{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}ln{10}} - \frac{12{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}xln{10}} - \frac{6x{x}^{(3x)}e^{tan(ln(x))}ln^{3}(x)}{({x}^{x} - lg(x))^{4}} - \frac{18x{x}^{(3x)}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{4}} + \frac{12{x}^{(2x)}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}} - \frac{6{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}} - \frac{6x{x}^{(3x)}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{4}} - \frac{2{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}x} + \frac{6x{x}^{(2x)}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}} + \frac{6e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}x^{2}ln^{2}{10}} + \frac{3e^{tan(ln(x))}sec^{4}(ln(x))}{({x}^{x} - lg(x))^{2}x^{2}ln{10}} + \frac{6e^{tan(ln(x))}tan(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x^{2}ln{10}} + \frac{6e^{tan(ln(x))}}{({x}^{x} - lg(x))^{4}x^{2}ln^{3}{10}} + \frac{2e^{tan(ln(x))}sec^{4}(ln(x))}{({x}^{x} - lg(x))x^{2}} + \frac{e^{tan(ln(x))}sec^{6}(ln(x))}{({x}^{x} - lg(x))x^{2}} + \frac{6e^{tan(ln(x))}tan(ln(x))sec^{4}(ln(x))}{({x}^{x} - lg(x))x^{2}} + \frac{4e^{tan(ln(x))}tan^{2}(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))x^{2}} - \frac{x{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}} - \frac{e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}x^{2}ln{10}} - \frac{e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))x^{2}}\right)}{dx}\\=& - \frac{6(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{4}}){x}^{x}e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{xln{10}} - \frac{6*-{x}^{x}e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}x^{2}ln{10}} - \frac{6({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}xln{10}} - \frac{6{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}xln{10}} - \frac{6{x}^{x}e^{tan(ln(x))}*-0ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}xln^{2}{10}} - \frac{6{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}xln{10}(x)} - \frac{6{x}^{x}e^{tan(ln(x))}ln(x)*2sec^{2}(ln(x))tan(ln(x))}{({x}^{x} - lg(x))^{3}xln{10}(x)} - \frac{12(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{4}}){x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))}{xln{10}} - \frac{12*-{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}x^{2}ln{10}} - \frac{12({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}xln{10}} - \frac{12{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}xln{10}} - \frac{12{x}^{x}e^{tan(ln(x))}*-0sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}xln^{2}{10}} - \frac{12{x}^{x}e^{tan(ln(x))}*2sec^{2}(ln(x))tan(ln(x))}{({x}^{x} - lg(x))^{3}xln{10}(x)} + \frac{6(\frac{-4(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{5}}){x}^{(2x)}e^{tan(ln(x))}ln^{2}(x)}{ln{10}} + \frac{6({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{4}ln{10}} + \frac{6{x}^{(2x)}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln^{2}(x)}{({x}^{x} - lg(x))^{4}ln{10}} + \frac{6{x}^{(2x)}e^{tan(ln(x))}*-0ln^{2}(x)}{({x}^{x} - lg(x))^{4}ln^{2}{10}} + \frac{6{x}^{(2x)}e^{tan(ln(x))}*2ln(x)}{({x}^{x} - lg(x))^{4}ln{10}(x)} + 6(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{4}}){x}^{(2x)}e^{tan(ln(x))}ln^{2}(x)sec^{2}(ln(x)) + \frac{6({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))e^{tan(ln(x))}ln^{2}(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}} + \frac{6{x}^{(2x)}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln^{2}(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}} + \frac{6{x}^{(2x)}e^{tan(ln(x))}*2ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}(x)} + \frac{6{x}^{(2x)}e^{tan(ln(x))}ln^{2}(x)*2sec^{2}(ln(x))tan(ln(x))}{({x}^{x} - lg(x))^{3}(x)} - \frac{6(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{4}}){x}^{x}e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{xln{10}} - \frac{6*-{x}^{x}e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}x^{2}ln{10}} - \frac{6({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}xln{10}} - \frac{6{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}xln{10}} - \frac{6{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}x(x)ln{10}} - \frac{6{x}^{x}e^{tan(ln(x))}ln(x)*-0sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}xln^{2}{10}} - \frac{6{x}^{x}e^{tan(ln(x))}ln(x)*2sec^{2}(ln(x))tan(ln(x))}{({x}^{x} - lg(x))^{3}xln{10}(x)} - \frac{12(\frac{-4(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{5}}){x}^{x}e^{tan(ln(x))}ln(x)}{xln^{2}{10}} - \frac{12*-{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{4}x^{2}ln^{2}{10}} - \frac{12({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{4}xln^{2}{10}} - \frac{12{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln(x)}{({x}^{x} - lg(x))^{4}xln^{2}{10}} - \frac{12{x}^{x}e^{tan(ln(x))}*-2*0ln(x)}{({x}^{x} - lg(x))^{4}xln^{3}{10}} - \frac{12{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{4}xln^{2}{10}(x)} + 12(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{4}}){x}^{(2x)}e^{tan(ln(x))}ln(x)sec^{2}(ln(x)) + \frac{12({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}} + \frac{12{x}^{(2x)}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}} + \frac{12{x}^{(2x)}e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}(x)} + \frac{12{x}^{(2x)}e^{tan(ln(x))}ln(x)*2sec^{2}(ln(x))tan(ln(x))}{({x}^{x} - lg(x))^{3}(x)} + \frac{18(\frac{-4(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{5}}){x}^{(2x)}e^{tan(ln(x))}ln(x)}{ln{10}} + \frac{18({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{4}ln{10}} + \frac{18{x}^{(2x)}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln(x)}{({x}^{x} - lg(x))^{4}ln{10}} + \frac{18{x}^{(2x)}e^{tan(ln(x))}*-0ln(x)}{({x}^{x} - lg(x))^{4}ln^{2}{10}} + \frac{18{x}^{(2x)}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{4}ln{10}(x)} - \frac{4(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{4}}){x}^{x}e^{tan(ln(x))}ln(x)}{xln{10}} - \frac{4*-{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}x^{2}ln{10}} - \frac{4({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}xln{10}} - \frac{4{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln(x)}{({x}^{x} - lg(x))^{3}xln{10}} - \frac{4{x}^{x}e^{tan(ln(x))}*-0ln(x)}{({x}^{x} - lg(x))^{3}xln^{2}{10}} - \frac{4{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}xln{10}(x)} + \frac{12(\frac{-4(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{5}}){x}^{(2x)}e^{tan(ln(x))}ln^{2}(x)}{ln{10}} + \frac{12({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{4}ln{10}} + \frac{12{x}^{(2x)}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln^{2}(x)}{({x}^{x} - lg(x))^{4}ln{10}} + \frac{12{x}^{(2x)}e^{tan(ln(x))}*2ln(x)}{({x}^{x} - lg(x))^{4}(x)ln{10}} + \frac{12{x}^{(2x)}e^{tan(ln(x))}ln^{2}(x)*-0}{({x}^{x} - lg(x))^{4}ln^{2}{10}} - \frac{3(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{3}}){x}^{x}e^{tan(ln(x))}ln(x)sec^{4}(ln(x))}{x} - \frac{3*-{x}^{x}e^{tan(ln(x))}ln(x)sec^{4}(ln(x))}{({x}^{x} - lg(x))^{2}x^{2}} - \frac{3({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}ln(x)sec^{4}(ln(x))}{({x}^{x} - lg(x))^{2}x} - \frac{3{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln(x)sec^{4}(ln(x))}{({x}^{x} - lg(x))^{2}x} - \frac{3{x}^{x}e^{tan(ln(x))}sec^{4}(ln(x))}{({x}^{x} - lg(x))^{2}x(x)} - \frac{3{x}^{x}e^{tan(ln(x))}ln(x)*4sec^{4}(ln(x))tan(ln(x))}{({x}^{x} - lg(x))^{2}x(x)} - \frac{6(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{3}}){x}^{x}e^{tan(ln(x))}ln(x)tan(ln(x))sec^{2}(ln(x))}{x} - \frac{6*-{x}^{x}e^{tan(ln(x))}ln(x)tan(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x^{2}} - \frac{6({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}ln(x)tan(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x} - \frac{6{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln(x)tan(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x} - \frac{6{x}^{x}e^{tan(ln(x))}tan(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x(x)} - \frac{6{x}^{x}e^{tan(ln(x))}ln(x)sec^{2}(ln(x))(\frac{1}{(x)})sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x} - \frac{6{x}^{x}e^{tan(ln(x))}ln(x)tan(ln(x))*2sec^{2}(ln(x))tan(ln(x))}{({x}^{x} - lg(x))^{2}x(x)} - \frac{4(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{4}}){x}^{x}e^{tan(ln(x))}ln^{2}(x)}{ln{10}} - \frac{4({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{3}ln{10}} - \frac{4{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln^{2}(x)}{({x}^{x} - lg(x))^{3}ln{10}} - \frac{4{x}^{x}e^{tan(ln(x))}*2ln(x)}{({x}^{x} - lg(x))^{3}(x)ln{10}} - \frac{4{x}^{x}e^{tan(ln(x))}ln^{2}(x)*-0}{({x}^{x} - lg(x))^{3}ln^{2}{10}} + 6(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{4}}){x}^{(2x)}e^{tan(ln(x))}sec^{2}(ln(x)) + \frac{6({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}} + \frac{6{x}^{(2x)}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}} + \frac{6{x}^{(2x)}e^{tan(ln(x))}*2sec^{2}(ln(x))tan(ln(x))}{({x}^{x} - lg(x))^{3}(x)} - \frac{3(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{3}}){x}^{x}e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{x} - \frac{3*-{x}^{x}e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x^{2}} - \frac{3({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x} - \frac{3{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x} - \frac{3{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x(x)} - \frac{3{x}^{x}e^{tan(ln(x))}ln(x)*2sec^{2}(ln(x))tan(ln(x))}{({x}^{x} - lg(x))^{2}x(x)} - \frac{6(\frac{-4(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{5}}){x}^{x}e^{tan(ln(x))}ln(x)}{xln^{2}{10}} - \frac{6*-{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{4}x^{2}ln^{2}{10}} - \frac{6({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{4}xln^{2}{10}} - \frac{6{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln(x)}{({x}^{x} - lg(x))^{4}xln^{2}{10}} - \frac{6{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{4}x(x)ln^{2}{10}} - \frac{6{x}^{x}e^{tan(ln(x))}ln(x)*-2*0}{({x}^{x} - lg(x))^{4}xln^{3}{10}} - 3(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{3}}){x}^{x}e^{tan(ln(x))}ln^{2}(x)sec^{2}(ln(x)) - \frac{3({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}ln^{2}(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}} - \frac{3{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln^{2}(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}} - \frac{3{x}^{x}e^{tan(ln(x))}*2ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}(x)} - \frac{3{x}^{x}e^{tan(ln(x))}ln^{2}(x)*2sec^{2}(ln(x))tan(ln(x))}{({x}^{x} - lg(x))^{2}(x)} - 6(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{3}}){x}^{x}e^{tan(ln(x))}ln(x)sec^{2}(ln(x)) - \frac{6({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}} - \frac{6{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}} - \frac{6{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}(x)} - \frac{6{x}^{x}e^{tan(ln(x))}ln(x)*2sec^{2}(ln(x))tan(ln(x))}{({x}^{x} - lg(x))^{2}(x)} - \frac{2(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{4}}){x}^{x}e^{tan(ln(x))}ln(x)}{xln{10}} - \frac{2*-{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}x^{2}ln{10}} - \frac{2({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}xln{10}} - \frac{2{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln(x)}{({x}^{x} - lg(x))^{3}xln{10}} - \frac{2{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}x(x)ln{10}} - \frac{2{x}^{x}e^{tan(ln(x))}ln(x)*-0}{({x}^{x} - lg(x))^{3}xln^{2}{10}} - \frac{2(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{4}}){x}^{x}e^{tan(ln(x))}ln^{2}(x)}{ln{10}} - \frac{2({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{3}ln{10}} - \frac{2{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln^{2}(x)}{({x}^{x} - lg(x))^{3}ln{10}} - \frac{2{x}^{x}e^{tan(ln(x))}*-0ln^{2}(x)}{({x}^{x} - lg(x))^{3}ln^{2}{10}} - \frac{2{x}^{x}e^{tan(ln(x))}*2ln(x)}{({x}^{x} - lg(x))^{3}ln{10}(x)} - \frac{6(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{4}}){x}^{x}e^{tan(ln(x))}ln(x)}{ln{10}} - \frac{6({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}ln{10}} - \frac{6{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln(x)}{({x}^{x} - lg(x))^{3}ln{10}} - \frac{6{x}^{x}e^{tan(ln(x))}*-0ln(x)}{({x}^{x} - lg(x))^{3}ln^{2}{10}} - \frac{6{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}ln{10}(x)} + 6(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{4}})x{x}^{(2x)}e^{tan(ln(x))}ln^{3}(x) + \frac{6{x}^{(2x)}e^{tan(ln(x))}ln^{3}(x)}{({x}^{x} - lg(x))^{3}} + \frac{6x({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))e^{tan(ln(x))}ln^{3}(x)}{({x}^{x} - lg(x))^{3}} + \frac{6x{x}^{(2x)}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln^{3}(x)}{({x}^{x} - lg(x))^{3}} + \frac{6x{x}^{(2x)}e^{tan(ln(x))}*3ln^{2}(x)}{({x}^{x} - lg(x))^{3}(x)} - \frac{6(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{3}}){x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))}{x} - \frac{6*-{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x^{2}} - \frac{6({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x} - \frac{6{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x} - \frac{6{x}^{x}e^{tan(ln(x))}*2sec^{2}(ln(x))tan(ln(x))}{({x}^{x} - lg(x))^{2}x(x)} - 18(\frac{-4(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{5}})x{x}^{(3x)}e^{tan(ln(x))}ln^{2}(x) - \frac{18{x}^{(3x)}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{4}} - \frac{18x({x}^{(3x)}((3)ln(x) + \frac{(3x)(1)}{(x)}))e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{4}} - \frac{18x{x}^{(3x)}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln^{2}(x)}{({x}^{x} - lg(x))^{4}} - \frac{18x{x}^{(3x)}e^{tan(ln(x))}*2ln(x)}{({x}^{x} - lg(x))^{4}(x)} + 18(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{4}})x{x}^{(2x)}e^{tan(ln(x))}ln^{2}(x) + \frac{18{x}^{(2x)}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{3}} + \frac{18x({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{3}} + \frac{18x{x}^{(2x)}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln^{2}(x)}{({x}^{x} - lg(x))^{3}} + \frac{18x{x}^{(2x)}e^{tan(ln(x))}*2ln(x)}{({x}^{x} - lg(x))^{3}(x)} - (\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{3}})x{x}^{x}e^{tan(ln(x))}ln^{3}(x) - \frac{{x}^{x}e^{tan(ln(x))}ln^{3}(x)}{({x}^{x} - lg(x))^{2}} - \frac{x({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}ln^{3}(x)}{({x}^{x} - lg(x))^{2}} - \frac{x{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln^{3}(x)}{({x}^{x} - lg(x))^{2}} - \frac{x{x}^{x}e^{tan(ln(x))}*3ln^{2}(x)}{({x}^{x} - lg(x))^{2}(x)} - 3(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{3}})x{x}^{x}e^{tan(ln(x))}ln^{2}(x) - \frac{3{x}^{x}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{2}} - \frac{3x({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{2}} - \frac{3x{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln^{2}(x)}{({x}^{x} - lg(x))^{2}} - \frac{3x{x}^{x}e^{tan(ln(x))}*2ln(x)}{({x}^{x} - lg(x))^{2}(x)} + \frac{18(\frac{-4(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{5}}){x}^{(2x)}e^{tan(ln(x))}ln(x)}{ln{10}} + \frac{18({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{4}ln{10}} + \frac{18{x}^{(2x)}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln(x)}{({x}^{x} - lg(x))^{4}ln{10}} + \frac{18{x}^{(2x)}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{4}(x)ln{10}} + \frac{18{x}^{(2x)}e^{tan(ln(x))}ln(x)*-0}{({x}^{x} - lg(x))^{4}ln^{2}{10}} + 18(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{4}})x{x}^{(2x)}e^{tan(ln(x))}ln(x) + \frac{18{x}^{(2x)}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}} + \frac{18x({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}} + \frac{18x{x}^{(2x)}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln(x)}{({x}^{x} - lg(x))^{3}} + \frac{18x{x}^{(2x)}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}(x)} - \frac{6(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{4}}){x}^{x}e^{tan(ln(x))}ln(x)}{ln{10}} - \frac{6({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}ln{10}} - \frac{6{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln(x)}{({x}^{x} - lg(x))^{3}ln{10}} - \frac{6{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}(x)ln{10}} - \frac{6{x}^{x}e^{tan(ln(x))}ln(x)*-0}{({x}^{x} - lg(x))^{3}ln^{2}{10}} - 3(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{3}})x{x}^{x}e^{tan(ln(x))}ln(x) - \frac{3{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{2}} - \frac{3x({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{2}} - \frac{3x{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln(x)}{({x}^{x} - lg(x))^{2}} - \frac{3x{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}(x)} - 3(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{3}}){x}^{x}e^{tan(ln(x))}ln^{2}(x) - \frac{3({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{2}} - \frac{3{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln^{2}(x)}{({x}^{x} - lg(x))^{2}} - \frac{3{x}^{x}e^{tan(ln(x))}*2ln(x)}{({x}^{x} - lg(x))^{2}(x)} - 3(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{3}}){x}^{x}e^{tan(ln(x))}sec^{2}(ln(x)) - \frac{3({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}} - \frac{3{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}} - \frac{3{x}^{x}e^{tan(ln(x))}*2sec^{2}(ln(x))tan(ln(x))}{({x}^{x} - lg(x))^{2}(x)} + 18(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{4}}){x}^{(2x)}e^{tan(ln(x))}ln(x) + \frac{18({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}} + \frac{18{x}^{(2x)}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln(x)}{({x}^{x} - lg(x))^{3}} + \frac{18{x}^{(2x)}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}(x)} - 9(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{3}}){x}^{x}e^{tan(ln(x))}ln(x) - \frac{9({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{2}} - \frac{9{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln(x)}{({x}^{x} - lg(x))^{2}} - \frac{9{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}(x)} + 6(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{4}}){x}^{(2x)}e^{tan(ln(x))}ln^{2}(x) + \frac{6({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{3}} + \frac{6{x}^{(2x)}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln^{2}(x)}{({x}^{x} - lg(x))^{3}} + \frac{6{x}^{(2x)}e^{tan(ln(x))}*2ln(x)}{({x}^{x} - lg(x))^{3}(x)} - \frac{3(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{3}}){x}^{x}e^{tan(ln(x))}sec^{4}(ln(x))}{x} - \frac{3*-{x}^{x}e^{tan(ln(x))}sec^{4}(ln(x))}{({x}^{x} - lg(x))^{2}x^{2}} - \frac{3({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}sec^{4}(ln(x))}{({x}^{x} - lg(x))^{2}x} - \frac{3{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})sec^{4}(ln(x))}{({x}^{x} - lg(x))^{2}x} - \frac{3{x}^{x}e^{tan(ln(x))}*4sec^{4}(ln(x))tan(ln(x))}{({x}^{x} - lg(x))^{2}x(x)} - \frac{6(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{3}}){x}^{x}e^{tan(ln(x))}tan(ln(x))sec^{2}(ln(x))}{x} - \frac{6*-{x}^{x}e^{tan(ln(x))}tan(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x^{2}} - \frac{6({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}tan(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x} - \frac{6{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})tan(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x} - \frac{6{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x} - \frac{6{x}^{x}e^{tan(ln(x))}tan(ln(x))*2sec^{2}(ln(x))tan(ln(x))}{({x}^{x} - lg(x))^{2}x(x)} - \frac{18(\frac{-4(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{5}}){x}^{x}e^{tan(ln(x))}}{xln^{2}{10}} - \frac{18*-{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{4}x^{2}ln^{2}{10}} - \frac{18({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}}{({x}^{x} - lg(x))^{4}xln^{2}{10}} - \frac{18{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})}{({x}^{x} - lg(x))^{4}xln^{2}{10}} - \frac{18{x}^{x}e^{tan(ln(x))}*-2*0}{({x}^{x} - lg(x))^{4}xln^{3}{10}} + \frac{18(\frac{-4(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{5}}){x}^{(2x)}e^{tan(ln(x))}}{ln{10}} + \frac{18({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))e^{tan(ln(x))}}{({x}^{x} - lg(x))^{4}ln{10}} + \frac{18{x}^{(2x)}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})}{({x}^{x} - lg(x))^{4}ln{10}} + \frac{18{x}^{(2x)}e^{tan(ln(x))}*-0}{({x}^{x} - lg(x))^{4}ln^{2}{10}} - \frac{6(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{4}}){x}^{x}e^{tan(ln(x))}}{ln{10}} - \frac{6({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}ln{10}} - \frac{6{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})}{({x}^{x} - lg(x))^{3}ln{10}} - \frac{6{x}^{x}e^{tan(ln(x))}*-0}{({x}^{x} - lg(x))^{3}ln^{2}{10}} - \frac{12(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{4}}){x}^{x}e^{tan(ln(x))}}{xln{10}} - \frac{12*-{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}x^{2}ln{10}} - \frac{12({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}xln{10}} - \frac{12{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})}{({x}^{x} - lg(x))^{3}xln{10}} - \frac{12{x}^{x}e^{tan(ln(x))}*-0}{({x}^{x} - lg(x))^{3}xln^{2}{10}} - 6(\frac{-4(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{5}})x{x}^{(3x)}e^{tan(ln(x))}ln^{3}(x) - \frac{6{x}^{(3x)}e^{tan(ln(x))}ln^{3}(x)}{({x}^{x} - lg(x))^{4}} - \frac{6x({x}^{(3x)}((3)ln(x) + \frac{(3x)(1)}{(x)}))e^{tan(ln(x))}ln^{3}(x)}{({x}^{x} - lg(x))^{4}} - \frac{6x{x}^{(3x)}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln^{3}(x)}{({x}^{x} - lg(x))^{4}} - \frac{6x{x}^{(3x)}e^{tan(ln(x))}*3ln^{2}(x)}{({x}^{x} - lg(x))^{4}(x)} - 18(\frac{-4(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{5}})x{x}^{(3x)}e^{tan(ln(x))}ln(x) - \frac{18{x}^{(3x)}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{4}} - \frac{18x({x}^{(3x)}((3)ln(x) + \frac{(3x)(1)}{(x)}))e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{4}} - \frac{18x{x}^{(3x)}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln(x)}{({x}^{x} - lg(x))^{4}} - \frac{18x{x}^{(3x)}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{4}(x)} + 12(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{4}}){x}^{(2x)}e^{tan(ln(x))} + \frac{12({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}} + \frac{12{x}^{(2x)}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})}{({x}^{x} - lg(x))^{3}} - 6(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{3}}){x}^{x}e^{tan(ln(x))} - \frac{6({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}} - \frac{6{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})}{({x}^{x} - lg(x))^{2}} - 6(\frac{-4(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{5}})x{x}^{(3x)}e^{tan(ln(x))} - \frac{6{x}^{(3x)}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{4}} - \frac{6x({x}^{(3x)}((3)ln(x) + \frac{(3x)(1)}{(x)}))e^{tan(ln(x))}}{({x}^{x} - lg(x))^{4}} - \frac{6x{x}^{(3x)}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})}{({x}^{x} - lg(x))^{4}} - \frac{2(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{3}}){x}^{x}e^{tan(ln(x))}}{x} - \frac{2*-{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}x^{2}} - \frac{2({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}x} - \frac{2{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})}{({x}^{x} - lg(x))^{2}x} + 6(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{4}})x{x}^{(2x)}e^{tan(ln(x))} + \frac{6{x}^{(2x)}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}} + \frac{6x({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}} + \frac{6x{x}^{(2x)}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})}{({x}^{x} - lg(x))^{3}} + \frac{6(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{4}})e^{tan(ln(x))}sec^{2}(ln(x))}{x^{2}ln^{2}{10}} + \frac{6*-2e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}x^{3}ln^{2}{10}} + \frac{6e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}x^{2}ln^{2}{10}} + \frac{6e^{tan(ln(x))}*-2*0sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}x^{2}ln^{3}{10}} + \frac{6e^{tan(ln(x))}*2sec^{2}(ln(x))tan(ln(x))}{({x}^{x} - lg(x))^{3}x^{2}ln^{2}{10}(x)} + \frac{3(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{3}})e^{tan(ln(x))}sec^{4}(ln(x))}{x^{2}ln{10}} + \frac{3*-2e^{tan(ln(x))}sec^{4}(ln(x))}{({x}^{x} - lg(x))^{2}x^{3}ln{10}} + \frac{3e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})sec^{4}(ln(x))}{({x}^{x} - lg(x))^{2}x^{2}ln{10}} + \frac{3e^{tan(ln(x))}*-0sec^{4}(ln(x))}{({x}^{x} - lg(x))^{2}x^{2}ln^{2}{10}} + \frac{3e^{tan(ln(x))}*4sec^{4}(ln(x))tan(ln(x))}{({x}^{x} - lg(x))^{2}x^{2}ln{10}(x)} + \frac{6(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{3}})e^{tan(ln(x))}tan(ln(x))sec^{2}(ln(x))}{x^{2}ln{10}} + \frac{6*-2e^{tan(ln(x))}tan(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x^{3}ln{10}} + \frac{6e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})tan(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x^{2}ln{10}} + \frac{6e^{tan(ln(x))}*-0tan(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x^{2}ln^{2}{10}} + \frac{6e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x^{2}ln{10}} + \frac{6e^{tan(ln(x))}tan(ln(x))*2sec^{2}(ln(x))tan(ln(x))}{({x}^{x} - lg(x))^{2}x^{2}ln{10}(x)} + \frac{6(\frac{-4(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{5}})e^{tan(ln(x))}}{x^{2}ln^{3}{10}} + \frac{6*-2e^{tan(ln(x))}}{({x}^{x} - lg(x))^{4}x^{3}ln^{3}{10}} + \frac{6e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})}{({x}^{x} - lg(x))^{4}x^{2}ln^{3}{10}} + \frac{6e^{tan(ln(x))}*-3*0}{({x}^{x} - lg(x))^{4}x^{2}ln^{4}{10}} + \frac{2(\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{2}})e^{tan(ln(x))}sec^{4}(ln(x))}{x^{2}} + \frac{2*-2e^{tan(ln(x))}sec^{4}(ln(x))}{({x}^{x} - lg(x))x^{3}} + \frac{2e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})sec^{4}(ln(x))}{({x}^{x} - lg(x))x^{2}} + \frac{2e^{tan(ln(x))}*4sec^{4}(ln(x))tan(ln(x))}{({x}^{x} - lg(x))x^{2}(x)} + \frac{(\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{2}})e^{tan(ln(x))}sec^{6}(ln(x))}{x^{2}} + \frac{-2e^{tan(ln(x))}sec^{6}(ln(x))}{({x}^{x} - lg(x))x^{3}} + \frac{e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})sec^{6}(ln(x))}{({x}^{x} - lg(x))x^{2}} + \frac{e^{tan(ln(x))}*6sec^{6}(ln(x))tan(ln(x))}{({x}^{x} - lg(x))x^{2}(x)} + \frac{6(\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{2}})e^{tan(ln(x))}tan(ln(x))sec^{4}(ln(x))}{x^{2}} + \frac{6*-2e^{tan(ln(x))}tan(ln(x))sec^{4}(ln(x))}{({x}^{x} - lg(x))x^{3}} + \frac{6e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})tan(ln(x))sec^{4}(ln(x))}{({x}^{x} - lg(x))x^{2}} + \frac{6e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})sec^{4}(ln(x))}{({x}^{x} - lg(x))x^{2}} + \frac{6e^{tan(ln(x))}tan(ln(x))*4sec^{4}(ln(x))tan(ln(x))}{({x}^{x} - lg(x))x^{2}(x)} + \frac{4(\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{2}})e^{tan(ln(x))}tan^{2}(ln(x))sec^{2}(ln(x))}{x^{2}} + \frac{4*-2e^{tan(ln(x))}tan^{2}(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))x^{3}} + \frac{4e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})tan^{2}(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))x^{2}} + \frac{4e^{tan(ln(x))}*2tan(ln(x))sec^{2}(ln(x))(\frac{1}{(x)})sec^{2}(ln(x))}{({x}^{x} - lg(x))x^{2}} + \frac{4e^{tan(ln(x))}tan^{2}(ln(x))*2sec^{2}(ln(x))tan(ln(x))}{({x}^{x} - lg(x))x^{2}(x)} - (\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{3}})x{x}^{x}e^{tan(ln(x))} - \frac{{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}} - \frac{x({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}} - \frac{x{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})}{({x}^{x} - lg(x))^{2}} - \frac{(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{3}})e^{tan(ln(x))}}{x^{2}ln{10}} - \frac{-2e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}x^{3}ln{10}} - \frac{e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})}{({x}^{x} - lg(x))^{2}x^{2}ln{10}} - \frac{e^{tan(ln(x))}*-0}{({x}^{x} - lg(x))^{2}x^{2}ln^{2}{10}} - \frac{(\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{2}})e^{tan(ln(x))}sec^{2}(ln(x))}{x^{2}} - \frac{-2e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))x^{3}} - \frac{e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})sec^{2}(ln(x))}{({x}^{x} - lg(x))x^{2}} - \frac{e^{tan(ln(x))}*2sec^{2}(ln(x))tan(ln(x))}{({x}^{x} - lg(x))x^{2}(x)}\\=&\frac{48{x}^{(2x)}e^{tan(ln(x))}ln^{2}(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{4}xln{10}} + \frac{72{x}^{(2x)}e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{4}xln{10}} - \frac{48{x}^{x}e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{4}x^{2}ln^{2}{10}} - \frac{4{x}^{x}e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}x^{2}ln{10}} - \frac{16{x}^{x}e^{tan(ln(x))}ln^{2}(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}xln{10}} - \frac{24{x}^{x}e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}xln{10}} - \frac{12{x}^{x}e^{tan(ln(x))}ln(x)sec^{4}(ln(x))}{({x}^{x} - lg(x))^{3}x^{2}ln{10}} - \frac{24{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}x^{2}ln{10}} - \frac{24{x}^{x}e^{tan(ln(x))}ln(x)tan(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}x^{2}ln{10}} + \frac{72{x}^{(2x)}e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{4}xln{10}} + \frac{72{x}^{(2x)}e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{4}xln{10}} - \frac{72{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{4}x^{2}ln^{2}{10}} - \frac{24{x}^{x}e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}xln{10}} - \frac{24{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}xln{10}} - \frac{24{x}^{x}e^{tan(ln(x))}sec^{4}(ln(x))}{({x}^{x} - lg(x))^{3}x^{2}ln{10}} - \frac{24{x}^{x}e^{tan(ln(x))}ln(x)tan(ln(x))sec^{4}(ln(x))}{({x}^{x} - lg(x))^{2}x^{2}} - \frac{72{x}^{(3x)}e^{tan(ln(x))}ln^{3}(x)}{({x}^{x} - lg(x))^{5}ln{10}} - \frac{192{x}^{(3x)}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{5}ln{10}} + \frac{24{x}^{(2x)}e^{tan(ln(x))}ln^{2}(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{4}xln{10}} + \frac{54{x}^{(2x)}e^{tan(ln(x))}ln^{3}(x)}{({x}^{x} - lg(x))^{4}ln{10}} + \frac{144{x}^{(2x)}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{4}ln{10}} + \frac{4{x}^{x}e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}x^{2}ln{10}} - \frac{24{x}^{(3x)}e^{tan(ln(x))}ln^{3}(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{4}} - \frac{72{x}^{(3x)}e^{tan(ln(x))}ln^{2}(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{4}} + \frac{24{x}^{(2x)}e^{tan(ln(x))}ln^{3}(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}} + \frac{72{x}^{(2x)}e^{tan(ln(x))}ln^{2}(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}} + \frac{12{x}^{(2x)}e^{tan(ln(x))}ln^{2}(x)sec^{4}(ln(x))}{({x}^{x} - lg(x))^{3}x} + \frac{48{x}^{(2x)}e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}x} + \frac{24{x}^{(2x)}e^{tan(ln(x))}ln^{2}(x)tan(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}x} - \frac{12{x}^{x}e^{tan(ln(x))}ln(x)sec^{4}(ln(x))}{({x}^{x} - lg(x))^{3}x^{2}ln{10}} - \frac{24{x}^{x}e^{tan(ln(x))}ln(x)tan(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}x^{2}ln{10}} - \frac{24{x}^{x}e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{4}x^{2}ln^{2}{10}} - \frac{8{x}^{x}e^{tan(ln(x))}ln^{2}(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}xln{10}} + \frac{72{x}^{(2x)}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{5}xln^{2}{10}} - \frac{72{x}^{(3x)}e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{4}} - \frac{18{x}^{x}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{4}xln^{2}{10}} + \frac{72{x}^{(2x)}e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}} + \frac{24{x}^{(2x)}e^{tan(ln(x))}ln(x)sec^{4}(ln(x))}{({x}^{x} - lg(x))^{3}x} + \frac{36{x}^{(2x)}e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}x} + \frac{48{x}^{(2x)}e^{tan(ln(x))}ln(x)tan(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}x} + \frac{192{x}^{(2x)}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{5}xln^{2}{10}} - \frac{72{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{5}x^{2}ln^{3}{10}} + \frac{18{x}^{(2x)}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{4}xln{10}} - \frac{6{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{4}x^{2}ln^{2}{10}} - \frac{6{x}^{x}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{3}xln{10}} + \frac{72{x}^{(2x)}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{5}xln^{2}{10}} - \frac{48{x}^{x}e^{tan(ln(x))}tan(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}x^{2}ln{10}} - \frac{96{x}^{(3x)}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{5}ln{10}} + \frac{72{x}^{(2x)}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{4}ln{10}} - \frac{18{x}^{x}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{4}xln^{2}{10}} - \frac{8{x}^{x}e^{tan(ln(x))}ln(x)sec^{4}(ln(x))}{({x}^{x} - lg(x))^{2}x^{2}} - \frac{6{x}^{x}e^{tan(ln(x))}ln^{2}(x)sec^{4}(ln(x))}{({x}^{x} - lg(x))^{2}x} - \frac{12{x}^{x}e^{tan(ln(x))}ln(x)sec^{4}(ln(x))}{({x}^{x} - lg(x))^{2}x} - \frac{4{x}^{x}e^{tan(ln(x))}ln(x)sec^{6}(ln(x))}{({x}^{x} - lg(x))^{2}x^{2}} - \frac{14{x}^{x}e^{tan(ln(x))}sec^{4}(ln(x))}{({x}^{x} - lg(x))^{2}x^{2}} - \frac{12{x}^{x}e^{tan(ln(x))}ln^{2}(x)tan(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x} - \frac{24{x}^{x}e^{tan(ln(x))}ln(x)tan(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x} - \frac{12{x}^{x}e^{tan(ln(x))}tan(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x^{2}} - \frac{16{x}^{x}e^{tan(ln(x))}ln(x)tan^{2}(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x^{2}} - \frac{6{x}^{x}e^{tan(ln(x))}ln^{3}(x)}{({x}^{x} - lg(x))^{3}ln{10}} - \frac{24{x}^{(3x)}e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{4}} + \frac{24{x}^{(2x)}e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}} + \frac{12{x}^{(2x)}e^{tan(ln(x))}sec^{4}(ln(x))}{({x}^{x} - lg(x))^{3}x} + \frac{24{x}^{(2x)}e^{tan(ln(x))}tan(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}x} + \frac{12{x}^{(2x)}e^{tan(ln(x))}ln^{2}(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}x} + \frac{4{x}^{x}e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x^{2}} - \frac{6{x}^{x}e^{tan(ln(x))}ln^{2}(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x} - \frac{24{x}^{x}e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x} + \frac{2{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x^{2}} + \frac{96{x}^{(2x)}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{5}xln^{2}{10}} + \frac{6{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{4}x^{2}ln^{2}{10}} - \frac{48{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{4}xln^{2}{10}} - \frac{4{x}^{x}e^{tan(ln(x))}ln^{3}(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}} - \frac{12{x}^{x}e^{tan(ln(x))}ln^{2}(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}} - \frac{12{x}^{x}e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}} - \frac{18{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x} + \frac{66{x}^{(2x)}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{4}xln{10}} + \frac{78{x}^{(2x)}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{4}xln{10}} + \frac{4{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}x^{2}ln{10}} - \frac{22{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}xln{10}} - \frac{26{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}xln{10}} - \frac{16{x}^{x}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{3}ln{10}} + \frac{108{x}^{(2x)}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{4}ln{10}} - \frac{24{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{4}xln^{2}{10}} - \frac{12{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}ln{10}} + \frac{4{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}x^{2}ln{10}} - \frac{6{x}^{x}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{3}xln{10}} + \frac{18{x}^{(2x)}e^{tan(ln(x))}ln^{3}(x)}{({x}^{x} - lg(x))^{4}ln{10}} + \frac{18{x}^{(2x)}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{4}xln{10}} - \frac{24{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{5}x^{2}ln^{3}{10}} - \frac{24{x}^{x}e^{tan(ln(x))}tan(ln(x))sec^{4}(ln(x))}{({x}^{x} - lg(x))^{2}x^{2}} + \frac{96x{x}^{(4x)}e^{tan(ln(x))}ln^{3}(x)}{({x}^{x} - lg(x))^{5}} - \frac{216x{x}^{(3x)}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{4}} + \frac{84x{x}^{(2x)}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{3}} - \frac{36x{x}^{(3x)}e^{tan(ln(x))}ln^{4}(x)}{({x}^{x} - lg(x))^{4}} - \frac{2{x}^{x}e^{tan(ln(x))}ln^{3}(x)}{({x}^{x} - lg(x))^{3}ln{10}} - \frac{8{x}^{x}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{3}ln{10}} + \frac{14x{x}^{(2x)}e^{tan(ln(x))}ln^{4}(x)}{({x}^{x} - lg(x))^{3}} + \frac{56x{x}^{(2x)}e^{tan(ln(x))}ln^{3}(x)}{({x}^{x} - lg(x))^{3}} - \frac{144{x}^{(3x)}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{5}ln{10}} - \frac{x{x}^{x}e^{tan(ln(x))}ln^{4}(x)}{({x}^{x} - lg(x))^{2}} - \frac{4x{x}^{x}e^{tan(ln(x))}ln^{3}(x)}{({x}^{x} - lg(x))^{2}} - \frac{144{x}^{(3x)}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{5}ln{10}} - \frac{6x{x}^{x}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{2}} + \frac{108{x}^{(2x)}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{4}ln{10}} - \frac{12{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}ln{10}} - \frac{24{x}^{(3x)}e^{tan(ln(x))}ln^{3}(x)}{({x}^{x} - lg(x))^{5}ln{10}} - \frac{144x{x}^{(3x)}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{4}} + \frac{108{x}^{(2x)}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{3}} + \frac{24{x}^{(2x)}e^{tan(ln(x))}ln^{3}(x)}{({x}^{x} - lg(x))^{3}} + \frac{144{x}^{(2x)}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}} - \frac{144x{x}^{(3x)}e^{tan(ln(x))}ln^{3}(x)}{({x}^{x} - lg(x))^{4}} - \frac{4{x}^{x}e^{tan(ln(x))}ln^{3}(x)}{({x}^{x} - lg(x))^{2}} + \frac{56x{x}^{(2x)}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}} - \frac{4x{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{2}} - \frac{18{x}^{x}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{2}} - \frac{4{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}} - \frac{8{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{2}x} - \frac{6{x}^{x}e^{tan(ln(x))}sec^{4}(ln(x))}{({x}^{x} - lg(x))^{2}x} - \frac{12{x}^{x}e^{tan(ln(x))}tan(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x} - \frac{108{x}^{(3x)}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{4}} - \frac{24{x}^{(3x)}e^{tan(ln(x))}ln^{3}(x)}{({x}^{x} - lg(x))^{4}} - \frac{36{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}xln{10}} + \frac{16{x}^{(2x)}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}x} - \frac{4{x}^{x}e^{tan(ln(x))}sec^{6}(ln(x))}{({x}^{x} - lg(x))^{2}x^{2}} - \frac{16{x}^{x}e^{tan(ln(x))}tan^{2}(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x^{2}} + \frac{24x{x}^{(4x)}e^{tan(ln(x))}ln^{4}(x)}{({x}^{x} - lg(x))^{5}} + \frac{144x{x}^{(4x)}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{5}} - \frac{96{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{5}x^{2}ln^{3}{10}} - \frac{36{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{4}xln^{2}{10}} + \frac{4{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}x^{2}ln{10}} - \frac{96{x}^{(3x)}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{5}ln{10}} + \frac{144{x}^{(2x)}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{5}xln^{2}{10}} + \frac{72{x}^{(2x)}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{4}ln{10}} + \frac{108{x}^{(2x)}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{4}xln{10}} - \frac{144{x}^{(3x)}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{4}} - \frac{8{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}ln{10}} - \frac{36{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{4}x^{2}ln^{2}{10}} + \frac{96x{x}^{(4x)}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{5}} - \frac{24{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{2}} - \frac{60{x}^{(3x)}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{4}} + \frac{60{x}^{(2x)}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}} - \frac{10{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}} + \frac{24x{x}^{(4x)}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{5}} - \frac{36x{x}^{(3x)}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{4}} + \frac{22{x}^{(2x)}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}x} + \frac{2{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}x^{2}} + \frac{14x{x}^{(2x)}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}} + \frac{24e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{4}x^{3}ln^{3}{10}} - \frac{12e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}x^{3}ln^{2}{10}} + \frac{12e^{tan(ln(x))}sec^{4}(ln(x))}{({x}^{x} - lg(x))^{3}x^{3}ln^{2}{10}} + \frac{24e^{tan(ln(x))}tan(ln(x))sec^{4}(ln(x))}{({x}^{x} - lg(x))^{2}x^{3}ln{10}} + \frac{4e^{tan(ln(x))}sec^{6}(ln(x))}{({x}^{x} - lg(x))^{2}x^{3}ln{10}} + \frac{24e^{tan(ln(x))}tan(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}x^{3}ln^{2}{10}} - \frac{12e^{tan(ln(x))}tan(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x^{3}ln{10}} + \frac{16e^{tan(ln(x))}tan^{2}(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x^{3}ln{10}} - \frac{11{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}x} + \frac{2e^{tan(ln(x))}sec^{4}(ln(x))}{({x}^{x} - lg(x))^{2}x^{3}ln{10}} - \frac{2e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x^{3}ln{10}} + \frac{24e^{tan(ln(x))}}{({x}^{x} - lg(x))^{5}x^{3}ln^{4}{10}} - \frac{5e^{tan(ln(x))}sec^{4}(ln(x))}{({x}^{x} - lg(x))x^{3}} + \frac{6e^{tan(ln(x))}sec^{6}(ln(x))}{({x}^{x} - lg(x))x^{3}} + \frac{12e^{tan(ln(x))}tan(ln(x))sec^{6}(ln(x))}{({x}^{x} - lg(x))x^{3}} + \frac{e^{tan(ln(x))}sec^{8}(ln(x))}{({x}^{x} - lg(x))x^{3}} + \frac{28e^{tan(ln(x))}tan^{2}(ln(x))sec^{4}(ln(x))}{({x}^{x} - lg(x))x^{3}} + \frac{4e^{tan(ln(x))}tan(ln(x))sec^{4}(ln(x))}{({x}^{x} - lg(x))x^{3}} - \frac{8e^{tan(ln(x))}tan^{2}(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))x^{3}} + \frac{8e^{tan(ln(x))}tan^{3}(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))x^{3}} - \frac{x{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}} - \frac{2e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}x^{3}ln^{2}{10}} - \frac{12e^{tan(ln(x))}}{({x}^{x} - lg(x))^{4}x^{3}ln^{3}{10}} + \frac{2e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}x^{3}ln{10}} + \frac{2e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))x^{3}} - \frac{2e^{tan(ln(x))}tan(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))x^{3}}\\ \end{split}\end{equation} \]
注意，变量是区分大小写的。
\[ \begin{equation}\begin{split}【1/1】求函数\frac{e^{tan(ln(x))}x}{({x}^{x} - lg(x))} 关于 x 的 4 阶导数：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = \frac{xe^{tan(ln(x))}}{({x}^{x} - lg(x))}\\&\color{blue}{函数的第 1 阶导数：}\\&\frac{d\left( \frac{xe^{tan(ln(x))}}{({x}^{x} - lg(x))}\right)}{dx}\\=&(\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{2}})xe^{tan(ln(x))} + \frac{e^{tan(ln(x))}}{({x}^{x} - lg(x))} + \frac{xe^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})}{({x}^{x} - lg(x))}\\=&\frac{-x{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{2}} - \frac{x{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}} + \frac{e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}ln{10}} + \frac{e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))} + \frac{e^{tan(ln(x))}}{({x}^{x} - lg(x))}\\\\ &\color{blue}{函数的第 2 阶导数：} \\&\frac{d\left( \frac{-x{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{2}} - \frac{x{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}} + \frac{e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}ln{10}} + \frac{e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))} + \frac{e^{tan(ln(x))}}{({x}^{x} - lg(x))}\right)}{dx}\\=&-(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{3}})x{x}^{x}e^{tan(ln(x))}ln(x) - \frac{{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{2}} - \frac{x({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{2}} - \frac{x{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln(x)}{({x}^{x} - lg(x))^{2}} - \frac{x{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}(x)} - (\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{3}})x{x}^{x}e^{tan(ln(x))} - \frac{{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}} - \frac{x({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}} - \frac{x{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})}{({x}^{x} - lg(x))^{2}} + \frac{(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{3}})e^{tan(ln(x))}}{ln{10}} + \frac{e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})}{({x}^{x} - lg(x))^{2}ln{10}} + \frac{e^{tan(ln(x))}*-0}{({x}^{x} - lg(x))^{2}ln^{2}{10}} + (\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{2}})e^{tan(ln(x))}sec^{2}(ln(x)) + \frac{e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})sec^{2}(ln(x))}{({x}^{x} - lg(x))} + \frac{e^{tan(ln(x))}*2sec^{2}(ln(x))tan(ln(x))}{({x}^{x} - lg(x))(x)} + (\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{2}})e^{tan(ln(x))} + \frac{e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})}{({x}^{x} - lg(x))}\\=&\frac{2x{x}^{(2x)}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{3}} + \frac{4x{x}^{(2x)}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}} - \frac{2{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}ln{10}} - \frac{2{x}^{x}e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}} - \frac{x{x}^{x}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{2}} - \frac{2x{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{2}} - \frac{2{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}ln{10}} - \frac{2{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}} + \frac{2x{x}^{(2x)}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}} - \frac{4{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}ln{10}} - \frac{x{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}} - \frac{2{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{2}} - \frac{3{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}} + \frac{2e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}xln{10}} + \frac{2e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}xln^{2}{10}} + \frac{e^{tan(ln(x))}sec^{4}(ln(x))}{({x}^{x} - lg(x))x} + \frac{2e^{tan(ln(x))}tan(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))x} + \frac{e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}xln{10}} + \frac{e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))x}\\\\ &\color{blue}{函数的第 3 阶导数：} \\&\frac{d\left( \frac{2x{x}^{(2x)}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{3}} + \frac{4x{x}^{(2x)}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}} - \frac{2{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}ln{10}} - \frac{2{x}^{x}e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}} - \frac{x{x}^{x}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{2}} - \frac{2x{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{2}} - \frac{2{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}ln{10}} - \frac{2{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}} + \frac{2x{x}^{(2x)}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}} - \frac{4{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}ln{10}} - \frac{x{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}} - \frac{2{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{2}} - \frac{3{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}} + \frac{2e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}xln{10}} + \frac{2e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}xln^{2}{10}} + \frac{e^{tan(ln(x))}sec^{4}(ln(x))}{({x}^{x} - lg(x))x} + \frac{2e^{tan(ln(x))}tan(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))x} + \frac{e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}xln{10}} + \frac{e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))x}\right)}{dx}\\=&2(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{4}})x{x}^{(2x)}e^{tan(ln(x))}ln^{2}(x) + \frac{2{x}^{(2x)}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{3}} + \frac{2x({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{3}} + \frac{2x{x}^{(2x)}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln^{2}(x)}{({x}^{x} - lg(x))^{3}} + \frac{2x{x}^{(2x)}e^{tan(ln(x))}*2ln(x)}{({x}^{x} - lg(x))^{3}(x)} + 4(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{4}})x{x}^{(2x)}e^{tan(ln(x))}ln(x) + \frac{4{x}^{(2x)}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}} + \frac{4x({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}} + \frac{4x{x}^{(2x)}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln(x)}{({x}^{x} - lg(x))^{3}} + \frac{4x{x}^{(2x)}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}(x)} - \frac{2(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{4}}){x}^{x}e^{tan(ln(x))}ln(x)}{ln{10}} - \frac{2({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}ln{10}} - \frac{2{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln(x)}{({x}^{x} - lg(x))^{3}ln{10}} - \frac{2{x}^{x}e^{tan(ln(x))}*-0ln(x)}{({x}^{x} - lg(x))^{3}ln^{2}{10}} - \frac{2{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}ln{10}(x)} - 2(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{3}}){x}^{x}e^{tan(ln(x))}ln(x)sec^{2}(ln(x)) - \frac{2({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}} - \frac{2{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}} - \frac{2{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}(x)} - \frac{2{x}^{x}e^{tan(ln(x))}ln(x)*2sec^{2}(ln(x))tan(ln(x))}{({x}^{x} - lg(x))^{2}(x)} - (\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{3}})x{x}^{x}e^{tan(ln(x))}ln^{2}(x) - \frac{{x}^{x}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{2}} - \frac{x({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{2}} - \frac{x{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln^{2}(x)}{({x}^{x} - lg(x))^{2}} - \frac{x{x}^{x}e^{tan(ln(x))}*2ln(x)}{({x}^{x} - lg(x))^{2}(x)} - 2(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{3}})x{x}^{x}e^{tan(ln(x))}ln(x) - \frac{2{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{2}} - \frac{2x({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{2}} - \frac{2x{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln(x)}{({x}^{x} - lg(x))^{2}} - \frac{2x{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}(x)} - \frac{2(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{4}}){x}^{x}e^{tan(ln(x))}ln(x)}{ln{10}} - \frac{2({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}ln{10}} - \frac{2{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln(x)}{({x}^{x} - lg(x))^{3}ln{10}} - \frac{2{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}(x)ln{10}} - \frac{2{x}^{x}e^{tan(ln(x))}ln(x)*-0}{({x}^{x} - lg(x))^{3}ln^{2}{10}} - 2(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{3}}){x}^{x}e^{tan(ln(x))}sec^{2}(ln(x)) - \frac{2({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}} - \frac{2{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}} - \frac{2{x}^{x}e^{tan(ln(x))}*2sec^{2}(ln(x))tan(ln(x))}{({x}^{x} - lg(x))^{2}(x)} + 2(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{4}})x{x}^{(2x)}e^{tan(ln(x))} + \frac{2{x}^{(2x)}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}} + \frac{2x({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}} + \frac{2x{x}^{(2x)}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})}{({x}^{x} - lg(x))^{3}} - \frac{4(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{4}}){x}^{x}e^{tan(ln(x))}}{ln{10}} - \frac{4({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}ln{10}} - \frac{4{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})}{({x}^{x} - lg(x))^{3}ln{10}} - \frac{4{x}^{x}e^{tan(ln(x))}*-0}{({x}^{x} - lg(x))^{3}ln^{2}{10}} - (\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{3}})x{x}^{x}e^{tan(ln(x))} - \frac{{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}} - \frac{x({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}} - \frac{x{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})}{({x}^{x} - lg(x))^{2}} - 2(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{3}}){x}^{x}e^{tan(ln(x))}ln(x) - \frac{2({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{2}} - \frac{2{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln(x)}{({x}^{x} - lg(x))^{2}} - \frac{2{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}(x)} - 3(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{3}}){x}^{x}e^{tan(ln(x))} - \frac{3({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}} - \frac{3{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})}{({x}^{x} - lg(x))^{2}} + \frac{2(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{3}})e^{tan(ln(x))}sec^{2}(ln(x))}{xln{10}} + \frac{2*-e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x^{2}ln{10}} + \frac{2e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}xln{10}} + \frac{2e^{tan(ln(x))}*-0sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}xln^{2}{10}} + \frac{2e^{tan(ln(x))}*2sec^{2}(ln(x))tan(ln(x))}{({x}^{x} - lg(x))^{2}xln{10}(x)} + \frac{2(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{4}})e^{tan(ln(x))}}{xln^{2}{10}} + \frac{2*-e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}x^{2}ln^{2}{10}} + \frac{2e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})}{({x}^{x} - lg(x))^{3}xln^{2}{10}} + \frac{2e^{tan(ln(x))}*-2*0}{({x}^{x} - lg(x))^{3}xln^{3}{10}} + \frac{(\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{2}})e^{tan(ln(x))}sec^{4}(ln(x))}{x} + \frac{-e^{tan(ln(x))}sec^{4}(ln(x))}{({x}^{x} - lg(x))x^{2}} + \frac{e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})sec^{4}(ln(x))}{({x}^{x} - lg(x))x} + \frac{e^{tan(ln(x))}*4sec^{4}(ln(x))tan(ln(x))}{({x}^{x} - lg(x))x(x)} + \frac{2(\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{2}})e^{tan(ln(x))}tan(ln(x))sec^{2}(ln(x))}{x} + \frac{2*-e^{tan(ln(x))}tan(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))x^{2}} + \frac{2e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})tan(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))x} + \frac{2e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})sec^{2}(ln(x))}{({x}^{x} - lg(x))x} + \frac{2e^{tan(ln(x))}tan(ln(x))*2sec^{2}(ln(x))tan(ln(x))}{({x}^{x} - lg(x))x(x)} + \frac{(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{3}})e^{tan(ln(x))}}{xln{10}} + \frac{-e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}x^{2}ln{10}} + \frac{e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})}{({x}^{x} - lg(x))^{2}xln{10}} + \frac{e^{tan(ln(x))}*-0}{({x}^{x} - lg(x))^{2}xln^{2}{10}} + \frac{(\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{2}})e^{tan(ln(x))}sec^{2}(ln(x))}{x} + \frac{-e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))x^{2}} + \frac{e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})sec^{2}(ln(x))}{({x}^{x} - lg(x))x} + \frac{e^{tan(ln(x))}*2sec^{2}(ln(x))tan(ln(x))}{({x}^{x} - lg(x))x(x)}\\=& - \frac{6{x}^{x}e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}xln{10}} - \frac{12{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}xln{10}} + \frac{6{x}^{(2x)}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{4}ln{10}} + \frac{6{x}^{(2x)}e^{tan(ln(x))}ln^{2}(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}} - \frac{6{x}^{x}e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}xln{10}} - \frac{12{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{4}xln^{2}{10}} + \frac{12{x}^{(2x)}e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}} + \frac{18{x}^{(2x)}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{4}ln{10}} - \frac{4{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}xln{10}} + \frac{12{x}^{(2x)}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{4}ln{10}} - \frac{3{x}^{x}e^{tan(ln(x))}ln(x)sec^{4}(ln(x))}{({x}^{x} - lg(x))^{2}x} - \frac{6{x}^{x}e^{tan(ln(x))}ln(x)tan(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x} - \frac{4{x}^{x}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{3}ln{10}} + \frac{6{x}^{(2x)}e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}} - \frac{3{x}^{x}e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x} - \frac{6{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{4}xln^{2}{10}} - \frac{3{x}^{x}e^{tan(ln(x))}ln^{2}(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}} - \frac{6{x}^{x}e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}} - \frac{2{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}xln{10}} - \frac{2{x}^{x}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{3}ln{10}} - \frac{6{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}ln{10}} + \frac{6x{x}^{(2x)}e^{tan(ln(x))}ln^{3}(x)}{({x}^{x} - lg(x))^{3}} - \frac{6{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x} - \frac{18x{x}^{(3x)}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{4}} + \frac{18x{x}^{(2x)}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{3}} - \frac{x{x}^{x}e^{tan(ln(x))}ln^{3}(x)}{({x}^{x} - lg(x))^{2}} - \frac{3x{x}^{x}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{2}} + \frac{18{x}^{(2x)}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{4}ln{10}} + \frac{18x{x}^{(2x)}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}} - \frac{6{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}ln{10}} - \frac{3x{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{2}} - \frac{3{x}^{x}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{2}} - \frac{3{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}} + \frac{18{x}^{(2x)}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}} - \frac{9{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{2}} + \frac{6{x}^{(2x)}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{3}} - \frac{3{x}^{x}e^{tan(ln(x))}sec^{4}(ln(x))}{({x}^{x} - lg(x))^{2}x} - \frac{6{x}^{x}e^{tan(ln(x))}tan(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x} - \frac{18{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{4}xln^{2}{10}} + \frac{18{x}^{(2x)}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{4}ln{10}} - \frac{6{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}ln{10}} - \frac{12{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}xln{10}} - \frac{6x{x}^{(3x)}e^{tan(ln(x))}ln^{3}(x)}{({x}^{x} - lg(x))^{4}} - \frac{18x{x}^{(3x)}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{4}} + \frac{12{x}^{(2x)}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}} - \frac{6{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}} - \frac{6x{x}^{(3x)}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{4}} - \frac{2{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}x} + \frac{6x{x}^{(2x)}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}} + \frac{6e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}x^{2}ln^{2}{10}} + \frac{3e^{tan(ln(x))}sec^{4}(ln(x))}{({x}^{x} - lg(x))^{2}x^{2}ln{10}} + \frac{6e^{tan(ln(x))}tan(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x^{2}ln{10}} + \frac{6e^{tan(ln(x))}}{({x}^{x} - lg(x))^{4}x^{2}ln^{3}{10}} + \frac{2e^{tan(ln(x))}sec^{4}(ln(x))}{({x}^{x} - lg(x))x^{2}} + \frac{e^{tan(ln(x))}sec^{6}(ln(x))}{({x}^{x} - lg(x))x^{2}} + \frac{6e^{tan(ln(x))}tan(ln(x))sec^{4}(ln(x))}{({x}^{x} - lg(x))x^{2}} + \frac{4e^{tan(ln(x))}tan^{2}(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))x^{2}} - \frac{x{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}} - \frac{e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}x^{2}ln{10}} - \frac{e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))x^{2}}\\\\ &\color{blue}{函数的第 4 阶导数：} \\&\frac{d\left( - \frac{6{x}^{x}e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}xln{10}} - \frac{12{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}xln{10}} + \frac{6{x}^{(2x)}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{4}ln{10}} + \frac{6{x}^{(2x)}e^{tan(ln(x))}ln^{2}(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}} - \frac{6{x}^{x}e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}xln{10}} - \frac{12{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{4}xln^{2}{10}} + \frac{12{x}^{(2x)}e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}} + \frac{18{x}^{(2x)}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{4}ln{10}} - \frac{4{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}xln{10}} + \frac{12{x}^{(2x)}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{4}ln{10}} - \frac{3{x}^{x}e^{tan(ln(x))}ln(x)sec^{4}(ln(x))}{({x}^{x} - lg(x))^{2}x} - \frac{6{x}^{x}e^{tan(ln(x))}ln(x)tan(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x} - \frac{4{x}^{x}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{3}ln{10}} + \frac{6{x}^{(2x)}e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}} - \frac{3{x}^{x}e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x} - \frac{6{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{4}xln^{2}{10}} - \frac{3{x}^{x}e^{tan(ln(x))}ln^{2}(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}} - \frac{6{x}^{x}e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}} - \frac{2{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}xln{10}} - \frac{2{x}^{x}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{3}ln{10}} - \frac{6{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}ln{10}} + \frac{6x{x}^{(2x)}e^{tan(ln(x))}ln^{3}(x)}{({x}^{x} - lg(x))^{3}} - \frac{6{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x} - \frac{18x{x}^{(3x)}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{4}} + \frac{18x{x}^{(2x)}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{3}} - \frac{x{x}^{x}e^{tan(ln(x))}ln^{3}(x)}{({x}^{x} - lg(x))^{2}} - \frac{3x{x}^{x}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{2}} + \frac{18{x}^{(2x)}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{4}ln{10}} + \frac{18x{x}^{(2x)}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}} - \frac{6{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}ln{10}} - \frac{3x{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{2}} - \frac{3{x}^{x}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{2}} - \frac{3{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}} + \frac{18{x}^{(2x)}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}} - \frac{9{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{2}} + \frac{6{x}^{(2x)}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{3}} - \frac{3{x}^{x}e^{tan(ln(x))}sec^{4}(ln(x))}{({x}^{x} - lg(x))^{2}x} - \frac{6{x}^{x}e^{tan(ln(x))}tan(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x} - \frac{18{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{4}xln^{2}{10}} + \frac{18{x}^{(2x)}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{4}ln{10}} - \frac{6{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}ln{10}} - \frac{12{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}xln{10}} - \frac{6x{x}^{(3x)}e^{tan(ln(x))}ln^{3}(x)}{({x}^{x} - lg(x))^{4}} - \frac{18x{x}^{(3x)}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{4}} + \frac{12{x}^{(2x)}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}} - \frac{6{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}} - \frac{6x{x}^{(3x)}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{4}} - \frac{2{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}x} + \frac{6x{x}^{(2x)}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}} + \frac{6e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}x^{2}ln^{2}{10}} + \frac{3e^{tan(ln(x))}sec^{4}(ln(x))}{({x}^{x} - lg(x))^{2}x^{2}ln{10}} + \frac{6e^{tan(ln(x))}tan(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x^{2}ln{10}} + \frac{6e^{tan(ln(x))}}{({x}^{x} - lg(x))^{4}x^{2}ln^{3}{10}} + \frac{2e^{tan(ln(x))}sec^{4}(ln(x))}{({x}^{x} - lg(x))x^{2}} + \frac{e^{tan(ln(x))}sec^{6}(ln(x))}{({x}^{x} - lg(x))x^{2}} + \frac{6e^{tan(ln(x))}tan(ln(x))sec^{4}(ln(x))}{({x}^{x} - lg(x))x^{2}} + \frac{4e^{tan(ln(x))}tan^{2}(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))x^{2}} - \frac{x{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}} - \frac{e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}x^{2}ln{10}} - \frac{e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))x^{2}}\right)}{dx}\\=& - \frac{6(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{4}}){x}^{x}e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{xln{10}} - \frac{6*-{x}^{x}e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}x^{2}ln{10}} - \frac{6({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}xln{10}} - \frac{6{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}xln{10}} - \frac{6{x}^{x}e^{tan(ln(x))}*-0ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}xln^{2}{10}} - \frac{6{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}xln{10}(x)} - \frac{6{x}^{x}e^{tan(ln(x))}ln(x)*2sec^{2}(ln(x))tan(ln(x))}{({x}^{x} - lg(x))^{3}xln{10}(x)} - \frac{12(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{4}}){x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))}{xln{10}} - \frac{12*-{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}x^{2}ln{10}} - \frac{12({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}xln{10}} - \frac{12{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}xln{10}} - \frac{12{x}^{x}e^{tan(ln(x))}*-0sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}xln^{2}{10}} - \frac{12{x}^{x}e^{tan(ln(x))}*2sec^{2}(ln(x))tan(ln(x))}{({x}^{x} - lg(x))^{3}xln{10}(x)} + \frac{6(\frac{-4(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{5}}){x}^{(2x)}e^{tan(ln(x))}ln^{2}(x)}{ln{10}} + \frac{6({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{4}ln{10}} + \frac{6{x}^{(2x)}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln^{2}(x)}{({x}^{x} - lg(x))^{4}ln{10}} + \frac{6{x}^{(2x)}e^{tan(ln(x))}*-0ln^{2}(x)}{({x}^{x} - lg(x))^{4}ln^{2}{10}} + \frac{6{x}^{(2x)}e^{tan(ln(x))}*2ln(x)}{({x}^{x} - lg(x))^{4}ln{10}(x)} + 6(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{4}}){x}^{(2x)}e^{tan(ln(x))}ln^{2}(x)sec^{2}(ln(x)) + \frac{6({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))e^{tan(ln(x))}ln^{2}(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}} + \frac{6{x}^{(2x)}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln^{2}(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}} + \frac{6{x}^{(2x)}e^{tan(ln(x))}*2ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}(x)} + \frac{6{x}^{(2x)}e^{tan(ln(x))}ln^{2}(x)*2sec^{2}(ln(x))tan(ln(x))}{({x}^{x} - lg(x))^{3}(x)} - \frac{6(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{4}}){x}^{x}e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{xln{10}} - \frac{6*-{x}^{x}e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}x^{2}ln{10}} - \frac{6({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}xln{10}} - \frac{6{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}xln{10}} - \frac{6{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}x(x)ln{10}} - \frac{6{x}^{x}e^{tan(ln(x))}ln(x)*-0sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}xln^{2}{10}} - \frac{6{x}^{x}e^{tan(ln(x))}ln(x)*2sec^{2}(ln(x))tan(ln(x))}{({x}^{x} - lg(x))^{3}xln{10}(x)} - \frac{12(\frac{-4(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{5}}){x}^{x}e^{tan(ln(x))}ln(x)}{xln^{2}{10}} - \frac{12*-{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{4}x^{2}ln^{2}{10}} - \frac{12({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{4}xln^{2}{10}} - \frac{12{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln(x)}{({x}^{x} - lg(x))^{4}xln^{2}{10}} - \frac{12{x}^{x}e^{tan(ln(x))}*-2*0ln(x)}{({x}^{x} - lg(x))^{4}xln^{3}{10}} - \frac{12{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{4}xln^{2}{10}(x)} + 12(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{4}}){x}^{(2x)}e^{tan(ln(x))}ln(x)sec^{2}(ln(x)) + \frac{12({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}} + \frac{12{x}^{(2x)}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}} + \frac{12{x}^{(2x)}e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}(x)} + \frac{12{x}^{(2x)}e^{tan(ln(x))}ln(x)*2sec^{2}(ln(x))tan(ln(x))}{({x}^{x} - lg(x))^{3}(x)} + \frac{18(\frac{-4(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{5}}){x}^{(2x)}e^{tan(ln(x))}ln(x)}{ln{10}} + \frac{18({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{4}ln{10}} + \frac{18{x}^{(2x)}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln(x)}{({x}^{x} - lg(x))^{4}ln{10}} + \frac{18{x}^{(2x)}e^{tan(ln(x))}*-0ln(x)}{({x}^{x} - lg(x))^{4}ln^{2}{10}} + \frac{18{x}^{(2x)}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{4}ln{10}(x)} - \frac{4(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{4}}){x}^{x}e^{tan(ln(x))}ln(x)}{xln{10}} - \frac{4*-{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}x^{2}ln{10}} - \frac{4({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}xln{10}} - \frac{4{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln(x)}{({x}^{x} - lg(x))^{3}xln{10}} - \frac{4{x}^{x}e^{tan(ln(x))}*-0ln(x)}{({x}^{x} - lg(x))^{3}xln^{2}{10}} - \frac{4{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}xln{10}(x)} + \frac{12(\frac{-4(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{5}}){x}^{(2x)}e^{tan(ln(x))}ln^{2}(x)}{ln{10}} + \frac{12({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{4}ln{10}} + \frac{12{x}^{(2x)}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln^{2}(x)}{({x}^{x} - lg(x))^{4}ln{10}} + \frac{12{x}^{(2x)}e^{tan(ln(x))}*2ln(x)}{({x}^{x} - lg(x))^{4}(x)ln{10}} + \frac{12{x}^{(2x)}e^{tan(ln(x))}ln^{2}(x)*-0}{({x}^{x} - lg(x))^{4}ln^{2}{10}} - \frac{3(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{3}}){x}^{x}e^{tan(ln(x))}ln(x)sec^{4}(ln(x))}{x} - \frac{3*-{x}^{x}e^{tan(ln(x))}ln(x)sec^{4}(ln(x))}{({x}^{x} - lg(x))^{2}x^{2}} - \frac{3({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}ln(x)sec^{4}(ln(x))}{({x}^{x} - lg(x))^{2}x} - \frac{3{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln(x)sec^{4}(ln(x))}{({x}^{x} - lg(x))^{2}x} - \frac{3{x}^{x}e^{tan(ln(x))}sec^{4}(ln(x))}{({x}^{x} - lg(x))^{2}x(x)} - \frac{3{x}^{x}e^{tan(ln(x))}ln(x)*4sec^{4}(ln(x))tan(ln(x))}{({x}^{x} - lg(x))^{2}x(x)} - \frac{6(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{3}}){x}^{x}e^{tan(ln(x))}ln(x)tan(ln(x))sec^{2}(ln(x))}{x} - \frac{6*-{x}^{x}e^{tan(ln(x))}ln(x)tan(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x^{2}} - \frac{6({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}ln(x)tan(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x} - \frac{6{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln(x)tan(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x} - \frac{6{x}^{x}e^{tan(ln(x))}tan(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x(x)} - \frac{6{x}^{x}e^{tan(ln(x))}ln(x)sec^{2}(ln(x))(\frac{1}{(x)})sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x} - \frac{6{x}^{x}e^{tan(ln(x))}ln(x)tan(ln(x))*2sec^{2}(ln(x))tan(ln(x))}{({x}^{x} - lg(x))^{2}x(x)} - \frac{4(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{4}}){x}^{x}e^{tan(ln(x))}ln^{2}(x)}{ln{10}} - \frac{4({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{3}ln{10}} - \frac{4{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln^{2}(x)}{({x}^{x} - lg(x))^{3}ln{10}} - \frac{4{x}^{x}e^{tan(ln(x))}*2ln(x)}{({x}^{x} - lg(x))^{3}(x)ln{10}} - \frac{4{x}^{x}e^{tan(ln(x))}ln^{2}(x)*-0}{({x}^{x} - lg(x))^{3}ln^{2}{10}} + 6(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{4}}){x}^{(2x)}e^{tan(ln(x))}sec^{2}(ln(x)) + \frac{6({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}} + \frac{6{x}^{(2x)}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}} + \frac{6{x}^{(2x)}e^{tan(ln(x))}*2sec^{2}(ln(x))tan(ln(x))}{({x}^{x} - lg(x))^{3}(x)} - \frac{3(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{3}}){x}^{x}e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{x} - \frac{3*-{x}^{x}e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x^{2}} - \frac{3({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x} - \frac{3{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x} - \frac{3{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x(x)} - \frac{3{x}^{x}e^{tan(ln(x))}ln(x)*2sec^{2}(ln(x))tan(ln(x))}{({x}^{x} - lg(x))^{2}x(x)} - \frac{6(\frac{-4(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{5}}){x}^{x}e^{tan(ln(x))}ln(x)}{xln^{2}{10}} - \frac{6*-{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{4}x^{2}ln^{2}{10}} - \frac{6({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{4}xln^{2}{10}} - \frac{6{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln(x)}{({x}^{x} - lg(x))^{4}xln^{2}{10}} - \frac{6{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{4}x(x)ln^{2}{10}} - \frac{6{x}^{x}e^{tan(ln(x))}ln(x)*-2*0}{({x}^{x} - lg(x))^{4}xln^{3}{10}} - 3(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{3}}){x}^{x}e^{tan(ln(x))}ln^{2}(x)sec^{2}(ln(x)) - \frac{3({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}ln^{2}(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}} - \frac{3{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln^{2}(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}} - \frac{3{x}^{x}e^{tan(ln(x))}*2ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}(x)} - \frac{3{x}^{x}e^{tan(ln(x))}ln^{2}(x)*2sec^{2}(ln(x))tan(ln(x))}{({x}^{x} - lg(x))^{2}(x)} - 6(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{3}}){x}^{x}e^{tan(ln(x))}ln(x)sec^{2}(ln(x)) - \frac{6({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}} - \frac{6{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}} - \frac{6{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}(x)} - \frac{6{x}^{x}e^{tan(ln(x))}ln(x)*2sec^{2}(ln(x))tan(ln(x))}{({x}^{x} - lg(x))^{2}(x)} - \frac{2(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{4}}){x}^{x}e^{tan(ln(x))}ln(x)}{xln{10}} - \frac{2*-{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}x^{2}ln{10}} - \frac{2({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}xln{10}} - \frac{2{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln(x)}{({x}^{x} - lg(x))^{3}xln{10}} - \frac{2{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}x(x)ln{10}} - \frac{2{x}^{x}e^{tan(ln(x))}ln(x)*-0}{({x}^{x} - lg(x))^{3}xln^{2}{10}} - \frac{2(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{4}}){x}^{x}e^{tan(ln(x))}ln^{2}(x)}{ln{10}} - \frac{2({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{3}ln{10}} - \frac{2{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln^{2}(x)}{({x}^{x} - lg(x))^{3}ln{10}} - \frac{2{x}^{x}e^{tan(ln(x))}*-0ln^{2}(x)}{({x}^{x} - lg(x))^{3}ln^{2}{10}} - \frac{2{x}^{x}e^{tan(ln(x))}*2ln(x)}{({x}^{x} - lg(x))^{3}ln{10}(x)} - \frac{6(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{4}}){x}^{x}e^{tan(ln(x))}ln(x)}{ln{10}} - \frac{6({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}ln{10}} - \frac{6{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln(x)}{({x}^{x} - lg(x))^{3}ln{10}} - \frac{6{x}^{x}e^{tan(ln(x))}*-0ln(x)}{({x}^{x} - lg(x))^{3}ln^{2}{10}} - \frac{6{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}ln{10}(x)} + 6(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{4}})x{x}^{(2x)}e^{tan(ln(x))}ln^{3}(x) + \frac{6{x}^{(2x)}e^{tan(ln(x))}ln^{3}(x)}{({x}^{x} - lg(x))^{3}} + \frac{6x({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))e^{tan(ln(x))}ln^{3}(x)}{({x}^{x} - lg(x))^{3}} + \frac{6x{x}^{(2x)}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln^{3}(x)}{({x}^{x} - lg(x))^{3}} + \frac{6x{x}^{(2x)}e^{tan(ln(x))}*3ln^{2}(x)}{({x}^{x} - lg(x))^{3}(x)} - \frac{6(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{3}}){x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))}{x} - \frac{6*-{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x^{2}} - \frac{6({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x} - \frac{6{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x} - \frac{6{x}^{x}e^{tan(ln(x))}*2sec^{2}(ln(x))tan(ln(x))}{({x}^{x} - lg(x))^{2}x(x)} - 18(\frac{-4(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{5}})x{x}^{(3x)}e^{tan(ln(x))}ln^{2}(x) - \frac{18{x}^{(3x)}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{4}} - \frac{18x({x}^{(3x)}((3)ln(x) + \frac{(3x)(1)}{(x)}))e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{4}} - \frac{18x{x}^{(3x)}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln^{2}(x)}{({x}^{x} - lg(x))^{4}} - \frac{18x{x}^{(3x)}e^{tan(ln(x))}*2ln(x)}{({x}^{x} - lg(x))^{4}(x)} + 18(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{4}})x{x}^{(2x)}e^{tan(ln(x))}ln^{2}(x) + \frac{18{x}^{(2x)}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{3}} + \frac{18x({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{3}} + \frac{18x{x}^{(2x)}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln^{2}(x)}{({x}^{x} - lg(x))^{3}} + \frac{18x{x}^{(2x)}e^{tan(ln(x))}*2ln(x)}{({x}^{x} - lg(x))^{3}(x)} - (\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{3}})x{x}^{x}e^{tan(ln(x))}ln^{3}(x) - \frac{{x}^{x}e^{tan(ln(x))}ln^{3}(x)}{({x}^{x} - lg(x))^{2}} - \frac{x({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}ln^{3}(x)}{({x}^{x} - lg(x))^{2}} - \frac{x{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln^{3}(x)}{({x}^{x} - lg(x))^{2}} - \frac{x{x}^{x}e^{tan(ln(x))}*3ln^{2}(x)}{({x}^{x} - lg(x))^{2}(x)} - 3(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{3}})x{x}^{x}e^{tan(ln(x))}ln^{2}(x) - \frac{3{x}^{x}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{2}} - \frac{3x({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{2}} - \frac{3x{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln^{2}(x)}{({x}^{x} - lg(x))^{2}} - \frac{3x{x}^{x}e^{tan(ln(x))}*2ln(x)}{({x}^{x} - lg(x))^{2}(x)} + \frac{18(\frac{-4(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{5}}){x}^{(2x)}e^{tan(ln(x))}ln(x)}{ln{10}} + \frac{18({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{4}ln{10}} + \frac{18{x}^{(2x)}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln(x)}{({x}^{x} - lg(x))^{4}ln{10}} + \frac{18{x}^{(2x)}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{4}(x)ln{10}} + \frac{18{x}^{(2x)}e^{tan(ln(x))}ln(x)*-0}{({x}^{x} - lg(x))^{4}ln^{2}{10}} + 18(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{4}})x{x}^{(2x)}e^{tan(ln(x))}ln(x) + \frac{18{x}^{(2x)}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}} + \frac{18x({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}} + \frac{18x{x}^{(2x)}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln(x)}{({x}^{x} - lg(x))^{3}} + \frac{18x{x}^{(2x)}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}(x)} - \frac{6(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{4}}){x}^{x}e^{tan(ln(x))}ln(x)}{ln{10}} - \frac{6({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}ln{10}} - \frac{6{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln(x)}{({x}^{x} - lg(x))^{3}ln{10}} - \frac{6{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}(x)ln{10}} - \frac{6{x}^{x}e^{tan(ln(x))}ln(x)*-0}{({x}^{x} - lg(x))^{3}ln^{2}{10}} - 3(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{3}})x{x}^{x}e^{tan(ln(x))}ln(x) - \frac{3{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{2}} - \frac{3x({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{2}} - \frac{3x{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln(x)}{({x}^{x} - lg(x))^{2}} - \frac{3x{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}(x)} - 3(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{3}}){x}^{x}e^{tan(ln(x))}ln^{2}(x) - \frac{3({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{2}} - \frac{3{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln^{2}(x)}{({x}^{x} - lg(x))^{2}} - \frac{3{x}^{x}e^{tan(ln(x))}*2ln(x)}{({x}^{x} - lg(x))^{2}(x)} - 3(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{3}}){x}^{x}e^{tan(ln(x))}sec^{2}(ln(x)) - \frac{3({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}} - \frac{3{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}} - \frac{3{x}^{x}e^{tan(ln(x))}*2sec^{2}(ln(x))tan(ln(x))}{({x}^{x} - lg(x))^{2}(x)} + 18(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{4}}){x}^{(2x)}e^{tan(ln(x))}ln(x) + \frac{18({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}} + \frac{18{x}^{(2x)}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln(x)}{({x}^{x} - lg(x))^{3}} + \frac{18{x}^{(2x)}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}(x)} - 9(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{3}}){x}^{x}e^{tan(ln(x))}ln(x) - \frac{9({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{2}} - \frac{9{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln(x)}{({x}^{x} - lg(x))^{2}} - \frac{9{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}(x)} + 6(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{4}}){x}^{(2x)}e^{tan(ln(x))}ln^{2}(x) + \frac{6({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{3}} + \frac{6{x}^{(2x)}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln^{2}(x)}{({x}^{x} - lg(x))^{3}} + \frac{6{x}^{(2x)}e^{tan(ln(x))}*2ln(x)}{({x}^{x} - lg(x))^{3}(x)} - \frac{3(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{3}}){x}^{x}e^{tan(ln(x))}sec^{4}(ln(x))}{x} - \frac{3*-{x}^{x}e^{tan(ln(x))}sec^{4}(ln(x))}{({x}^{x} - lg(x))^{2}x^{2}} - \frac{3({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}sec^{4}(ln(x))}{({x}^{x} - lg(x))^{2}x} - \frac{3{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})sec^{4}(ln(x))}{({x}^{x} - lg(x))^{2}x} - \frac{3{x}^{x}e^{tan(ln(x))}*4sec^{4}(ln(x))tan(ln(x))}{({x}^{x} - lg(x))^{2}x(x)} - \frac{6(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{3}}){x}^{x}e^{tan(ln(x))}tan(ln(x))sec^{2}(ln(x))}{x} - \frac{6*-{x}^{x}e^{tan(ln(x))}tan(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x^{2}} - \frac{6({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}tan(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x} - \frac{6{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})tan(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x} - \frac{6{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x} - \frac{6{x}^{x}e^{tan(ln(x))}tan(ln(x))*2sec^{2}(ln(x))tan(ln(x))}{({x}^{x} - lg(x))^{2}x(x)} - \frac{18(\frac{-4(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{5}}){x}^{x}e^{tan(ln(x))}}{xln^{2}{10}} - \frac{18*-{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{4}x^{2}ln^{2}{10}} - \frac{18({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}}{({x}^{x} - lg(x))^{4}xln^{2}{10}} - \frac{18{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})}{({x}^{x} - lg(x))^{4}xln^{2}{10}} - \frac{18{x}^{x}e^{tan(ln(x))}*-2*0}{({x}^{x} - lg(x))^{4}xln^{3}{10}} + \frac{18(\frac{-4(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{5}}){x}^{(2x)}e^{tan(ln(x))}}{ln{10}} + \frac{18({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))e^{tan(ln(x))}}{({x}^{x} - lg(x))^{4}ln{10}} + \frac{18{x}^{(2x)}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})}{({x}^{x} - lg(x))^{4}ln{10}} + \frac{18{x}^{(2x)}e^{tan(ln(x))}*-0}{({x}^{x} - lg(x))^{4}ln^{2}{10}} - \frac{6(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{4}}){x}^{x}e^{tan(ln(x))}}{ln{10}} - \frac{6({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}ln{10}} - \frac{6{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})}{({x}^{x} - lg(x))^{3}ln{10}} - \frac{6{x}^{x}e^{tan(ln(x))}*-0}{({x}^{x} - lg(x))^{3}ln^{2}{10}} - \frac{12(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{4}}){x}^{x}e^{tan(ln(x))}}{xln{10}} - \frac{12*-{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}x^{2}ln{10}} - \frac{12({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}xln{10}} - \frac{12{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})}{({x}^{x} - lg(x))^{3}xln{10}} - \frac{12{x}^{x}e^{tan(ln(x))}*-0}{({x}^{x} - lg(x))^{3}xln^{2}{10}} - 6(\frac{-4(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{5}})x{x}^{(3x)}e^{tan(ln(x))}ln^{3}(x) - \frac{6{x}^{(3x)}e^{tan(ln(x))}ln^{3}(x)}{({x}^{x} - lg(x))^{4}} - \frac{6x({x}^{(3x)}((3)ln(x) + \frac{(3x)(1)}{(x)}))e^{tan(ln(x))}ln^{3}(x)}{({x}^{x} - lg(x))^{4}} - \frac{6x{x}^{(3x)}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln^{3}(x)}{({x}^{x} - lg(x))^{4}} - \frac{6x{x}^{(3x)}e^{tan(ln(x))}*3ln^{2}(x)}{({x}^{x} - lg(x))^{4}(x)} - 18(\frac{-4(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{5}})x{x}^{(3x)}e^{tan(ln(x))}ln(x) - \frac{18{x}^{(3x)}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{4}} - \frac{18x({x}^{(3x)}((3)ln(x) + \frac{(3x)(1)}{(x)}))e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{4}} - \frac{18x{x}^{(3x)}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})ln(x)}{({x}^{x} - lg(x))^{4}} - \frac{18x{x}^{(3x)}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{4}(x)} + 12(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{4}}){x}^{(2x)}e^{tan(ln(x))} + \frac{12({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}} + \frac{12{x}^{(2x)}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})}{({x}^{x} - lg(x))^{3}} - 6(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{3}}){x}^{x}e^{tan(ln(x))} - \frac{6({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}} - \frac{6{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})}{({x}^{x} - lg(x))^{2}} - 6(\frac{-4(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{5}})x{x}^{(3x)}e^{tan(ln(x))} - \frac{6{x}^{(3x)}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{4}} - \frac{6x({x}^{(3x)}((3)ln(x) + \frac{(3x)(1)}{(x)}))e^{tan(ln(x))}}{({x}^{x} - lg(x))^{4}} - \frac{6x{x}^{(3x)}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})}{({x}^{x} - lg(x))^{4}} - \frac{2(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{3}}){x}^{x}e^{tan(ln(x))}}{x} - \frac{2*-{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}x^{2}} - \frac{2({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}x} - \frac{2{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})}{({x}^{x} - lg(x))^{2}x} + 6(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{4}})x{x}^{(2x)}e^{tan(ln(x))} + \frac{6{x}^{(2x)}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}} + \frac{6x({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}} + \frac{6x{x}^{(2x)}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})}{({x}^{x} - lg(x))^{3}} + \frac{6(\frac{-3(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{4}})e^{tan(ln(x))}sec^{2}(ln(x))}{x^{2}ln^{2}{10}} + \frac{6*-2e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}x^{3}ln^{2}{10}} + \frac{6e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}x^{2}ln^{2}{10}} + \frac{6e^{tan(ln(x))}*-2*0sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}x^{2}ln^{3}{10}} + \frac{6e^{tan(ln(x))}*2sec^{2}(ln(x))tan(ln(x))}{({x}^{x} - lg(x))^{3}x^{2}ln^{2}{10}(x)} + \frac{3(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{3}})e^{tan(ln(x))}sec^{4}(ln(x))}{x^{2}ln{10}} + \frac{3*-2e^{tan(ln(x))}sec^{4}(ln(x))}{({x}^{x} - lg(x))^{2}x^{3}ln{10}} + \frac{3e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})sec^{4}(ln(x))}{({x}^{x} - lg(x))^{2}x^{2}ln{10}} + \frac{3e^{tan(ln(x))}*-0sec^{4}(ln(x))}{({x}^{x} - lg(x))^{2}x^{2}ln^{2}{10}} + \frac{3e^{tan(ln(x))}*4sec^{4}(ln(x))tan(ln(x))}{({x}^{x} - lg(x))^{2}x^{2}ln{10}(x)} + \frac{6(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{3}})e^{tan(ln(x))}tan(ln(x))sec^{2}(ln(x))}{x^{2}ln{10}} + \frac{6*-2e^{tan(ln(x))}tan(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x^{3}ln{10}} + \frac{6e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})tan(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x^{2}ln{10}} + \frac{6e^{tan(ln(x))}*-0tan(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x^{2}ln^{2}{10}} + \frac{6e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x^{2}ln{10}} + \frac{6e^{tan(ln(x))}tan(ln(x))*2sec^{2}(ln(x))tan(ln(x))}{({x}^{x} - lg(x))^{2}x^{2}ln{10}(x)} + \frac{6(\frac{-4(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{5}})e^{tan(ln(x))}}{x^{2}ln^{3}{10}} + \frac{6*-2e^{tan(ln(x))}}{({x}^{x} - lg(x))^{4}x^{3}ln^{3}{10}} + \frac{6e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})}{({x}^{x} - lg(x))^{4}x^{2}ln^{3}{10}} + \frac{6e^{tan(ln(x))}*-3*0}{({x}^{x} - lg(x))^{4}x^{2}ln^{4}{10}} + \frac{2(\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{2}})e^{tan(ln(x))}sec^{4}(ln(x))}{x^{2}} + \frac{2*-2e^{tan(ln(x))}sec^{4}(ln(x))}{({x}^{x} - lg(x))x^{3}} + \frac{2e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})sec^{4}(ln(x))}{({x}^{x} - lg(x))x^{2}} + \frac{2e^{tan(ln(x))}*4sec^{4}(ln(x))tan(ln(x))}{({x}^{x} - lg(x))x^{2}(x)} + \frac{(\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{2}})e^{tan(ln(x))}sec^{6}(ln(x))}{x^{2}} + \frac{-2e^{tan(ln(x))}sec^{6}(ln(x))}{({x}^{x} - lg(x))x^{3}} + \frac{e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})sec^{6}(ln(x))}{({x}^{x} - lg(x))x^{2}} + \frac{e^{tan(ln(x))}*6sec^{6}(ln(x))tan(ln(x))}{({x}^{x} - lg(x))x^{2}(x)} + \frac{6(\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{2}})e^{tan(ln(x))}tan(ln(x))sec^{4}(ln(x))}{x^{2}} + \frac{6*-2e^{tan(ln(x))}tan(ln(x))sec^{4}(ln(x))}{({x}^{x} - lg(x))x^{3}} + \frac{6e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})tan(ln(x))sec^{4}(ln(x))}{({x}^{x} - lg(x))x^{2}} + \frac{6e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})sec^{4}(ln(x))}{({x}^{x} - lg(x))x^{2}} + \frac{6e^{tan(ln(x))}tan(ln(x))*4sec^{4}(ln(x))tan(ln(x))}{({x}^{x} - lg(x))x^{2}(x)} + \frac{4(\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{2}})e^{tan(ln(x))}tan^{2}(ln(x))sec^{2}(ln(x))}{x^{2}} + \frac{4*-2e^{tan(ln(x))}tan^{2}(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))x^{3}} + \frac{4e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})tan^{2}(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))x^{2}} + \frac{4e^{tan(ln(x))}*2tan(ln(x))sec^{2}(ln(x))(\frac{1}{(x)})sec^{2}(ln(x))}{({x}^{x} - lg(x))x^{2}} + \frac{4e^{tan(ln(x))}tan^{2}(ln(x))*2sec^{2}(ln(x))tan(ln(x))}{({x}^{x} - lg(x))x^{2}(x)} - (\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{3}})x{x}^{x}e^{tan(ln(x))} - \frac{{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}} - \frac{x({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}} - \frac{x{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})}{({x}^{x} - lg(x))^{2}} - \frac{(\frac{-2(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{3}})e^{tan(ln(x))}}{x^{2}ln{10}} - \frac{-2e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}x^{3}ln{10}} - \frac{e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})}{({x}^{x} - lg(x))^{2}x^{2}ln{10}} - \frac{e^{tan(ln(x))}*-0}{({x}^{x} - lg(x))^{2}x^{2}ln^{2}{10}} - \frac{(\frac{-(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) - \frac{1}{ln{10}(x)})}{({x}^{x} - lg(x))^{2}})e^{tan(ln(x))}sec^{2}(ln(x))}{x^{2}} - \frac{-2e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))x^{3}} - \frac{e^{tan(ln(x))}sec^{2}(ln(x))(\frac{1}{(x)})sec^{2}(ln(x))}{({x}^{x} - lg(x))x^{2}} - \frac{e^{tan(ln(x))}*2sec^{2}(ln(x))tan(ln(x))}{({x}^{x} - lg(x))x^{2}(x)}\\=&\frac{48{x}^{(2x)}e^{tan(ln(x))}ln^{2}(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{4}xln{10}} + \frac{72{x}^{(2x)}e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{4}xln{10}} - \frac{48{x}^{x}e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{4}x^{2}ln^{2}{10}} - \frac{4{x}^{x}e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}x^{2}ln{10}} - \frac{16{x}^{x}e^{tan(ln(x))}ln^{2}(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}xln{10}} - \frac{24{x}^{x}e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}xln{10}} - \frac{12{x}^{x}e^{tan(ln(x))}ln(x)sec^{4}(ln(x))}{({x}^{x} - lg(x))^{3}x^{2}ln{10}} - \frac{24{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}x^{2}ln{10}} - \frac{24{x}^{x}e^{tan(ln(x))}ln(x)tan(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}x^{2}ln{10}} + \frac{72{x}^{(2x)}e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{4}xln{10}} + \frac{72{x}^{(2x)}e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{4}xln{10}} - \frac{72{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{4}x^{2}ln^{2}{10}} - \frac{24{x}^{x}e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}xln{10}} - \frac{24{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}xln{10}} - \frac{24{x}^{x}e^{tan(ln(x))}sec^{4}(ln(x))}{({x}^{x} - lg(x))^{3}x^{2}ln{10}} - \frac{24{x}^{x}e^{tan(ln(x))}ln(x)tan(ln(x))sec^{4}(ln(x))}{({x}^{x} - lg(x))^{2}x^{2}} - \frac{72{x}^{(3x)}e^{tan(ln(x))}ln^{3}(x)}{({x}^{x} - lg(x))^{5}ln{10}} - \frac{192{x}^{(3x)}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{5}ln{10}} + \frac{24{x}^{(2x)}e^{tan(ln(x))}ln^{2}(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{4}xln{10}} + \frac{54{x}^{(2x)}e^{tan(ln(x))}ln^{3}(x)}{({x}^{x} - lg(x))^{4}ln{10}} + \frac{144{x}^{(2x)}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{4}ln{10}} + \frac{4{x}^{x}e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}x^{2}ln{10}} - \frac{24{x}^{(3x)}e^{tan(ln(x))}ln^{3}(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{4}} - \frac{72{x}^{(3x)}e^{tan(ln(x))}ln^{2}(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{4}} + \frac{24{x}^{(2x)}e^{tan(ln(x))}ln^{3}(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}} + \frac{72{x}^{(2x)}e^{tan(ln(x))}ln^{2}(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}} + \frac{12{x}^{(2x)}e^{tan(ln(x))}ln^{2}(x)sec^{4}(ln(x))}{({x}^{x} - lg(x))^{3}x} + \frac{48{x}^{(2x)}e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}x} + \frac{24{x}^{(2x)}e^{tan(ln(x))}ln^{2}(x)tan(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}x} - \frac{12{x}^{x}e^{tan(ln(x))}ln(x)sec^{4}(ln(x))}{({x}^{x} - lg(x))^{3}x^{2}ln{10}} - \frac{24{x}^{x}e^{tan(ln(x))}ln(x)tan(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}x^{2}ln{10}} - \frac{24{x}^{x}e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{4}x^{2}ln^{2}{10}} - \frac{8{x}^{x}e^{tan(ln(x))}ln^{2}(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}xln{10}} + \frac{72{x}^{(2x)}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{5}xln^{2}{10}} - \frac{72{x}^{(3x)}e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{4}} - \frac{18{x}^{x}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{4}xln^{2}{10}} + \frac{72{x}^{(2x)}e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}} + \frac{24{x}^{(2x)}e^{tan(ln(x))}ln(x)sec^{4}(ln(x))}{({x}^{x} - lg(x))^{3}x} + \frac{36{x}^{(2x)}e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}x} + \frac{48{x}^{(2x)}e^{tan(ln(x))}ln(x)tan(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}x} + \frac{192{x}^{(2x)}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{5}xln^{2}{10}} - \frac{72{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{5}x^{2}ln^{3}{10}} + \frac{18{x}^{(2x)}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{4}xln{10}} - \frac{6{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{4}x^{2}ln^{2}{10}} - \frac{6{x}^{x}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{3}xln{10}} + \frac{72{x}^{(2x)}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{5}xln^{2}{10}} - \frac{48{x}^{x}e^{tan(ln(x))}tan(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}x^{2}ln{10}} - \frac{96{x}^{(3x)}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{5}ln{10}} + \frac{72{x}^{(2x)}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{4}ln{10}} - \frac{18{x}^{x}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{4}xln^{2}{10}} - \frac{8{x}^{x}e^{tan(ln(x))}ln(x)sec^{4}(ln(x))}{({x}^{x} - lg(x))^{2}x^{2}} - \frac{6{x}^{x}e^{tan(ln(x))}ln^{2}(x)sec^{4}(ln(x))}{({x}^{x} - lg(x))^{2}x} - \frac{12{x}^{x}e^{tan(ln(x))}ln(x)sec^{4}(ln(x))}{({x}^{x} - lg(x))^{2}x} - \frac{4{x}^{x}e^{tan(ln(x))}ln(x)sec^{6}(ln(x))}{({x}^{x} - lg(x))^{2}x^{2}} - \frac{14{x}^{x}e^{tan(ln(x))}sec^{4}(ln(x))}{({x}^{x} - lg(x))^{2}x^{2}} - \frac{12{x}^{x}e^{tan(ln(x))}ln^{2}(x)tan(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x} - \frac{24{x}^{x}e^{tan(ln(x))}ln(x)tan(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x} - \frac{12{x}^{x}e^{tan(ln(x))}tan(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x^{2}} - \frac{16{x}^{x}e^{tan(ln(x))}ln(x)tan^{2}(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x^{2}} - \frac{6{x}^{x}e^{tan(ln(x))}ln^{3}(x)}{({x}^{x} - lg(x))^{3}ln{10}} - \frac{24{x}^{(3x)}e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{4}} + \frac{24{x}^{(2x)}e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}} + \frac{12{x}^{(2x)}e^{tan(ln(x))}sec^{4}(ln(x))}{({x}^{x} - lg(x))^{3}x} + \frac{24{x}^{(2x)}e^{tan(ln(x))}tan(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}x} + \frac{12{x}^{(2x)}e^{tan(ln(x))}ln^{2}(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}x} + \frac{4{x}^{x}e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x^{2}} - \frac{6{x}^{x}e^{tan(ln(x))}ln^{2}(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x} - \frac{24{x}^{x}e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x} + \frac{2{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x^{2}} + \frac{96{x}^{(2x)}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{5}xln^{2}{10}} + \frac{6{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{4}x^{2}ln^{2}{10}} - \frac{48{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{4}xln^{2}{10}} - \frac{4{x}^{x}e^{tan(ln(x))}ln^{3}(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}} - \frac{12{x}^{x}e^{tan(ln(x))}ln^{2}(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}} - \frac{12{x}^{x}e^{tan(ln(x))}ln(x)sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}} - \frac{18{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x} + \frac{66{x}^{(2x)}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{4}xln{10}} + \frac{78{x}^{(2x)}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{4}xln{10}} + \frac{4{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}x^{2}ln{10}} - \frac{22{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}xln{10}} - \frac{26{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}xln{10}} - \frac{16{x}^{x}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{3}ln{10}} + \frac{108{x}^{(2x)}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{4}ln{10}} - \frac{24{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{4}xln^{2}{10}} - \frac{12{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}ln{10}} + \frac{4{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}x^{2}ln{10}} - \frac{6{x}^{x}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{3}xln{10}} + \frac{18{x}^{(2x)}e^{tan(ln(x))}ln^{3}(x)}{({x}^{x} - lg(x))^{4}ln{10}} + \frac{18{x}^{(2x)}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{4}xln{10}} - \frac{24{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{5}x^{2}ln^{3}{10}} - \frac{24{x}^{x}e^{tan(ln(x))}tan(ln(x))sec^{4}(ln(x))}{({x}^{x} - lg(x))^{2}x^{2}} + \frac{96x{x}^{(4x)}e^{tan(ln(x))}ln^{3}(x)}{({x}^{x} - lg(x))^{5}} - \frac{216x{x}^{(3x)}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{4}} + \frac{84x{x}^{(2x)}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{3}} - \frac{36x{x}^{(3x)}e^{tan(ln(x))}ln^{4}(x)}{({x}^{x} - lg(x))^{4}} - \frac{2{x}^{x}e^{tan(ln(x))}ln^{3}(x)}{({x}^{x} - lg(x))^{3}ln{10}} - \frac{8{x}^{x}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{3}ln{10}} + \frac{14x{x}^{(2x)}e^{tan(ln(x))}ln^{4}(x)}{({x}^{x} - lg(x))^{3}} + \frac{56x{x}^{(2x)}e^{tan(ln(x))}ln^{3}(x)}{({x}^{x} - lg(x))^{3}} - \frac{144{x}^{(3x)}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{5}ln{10}} - \frac{x{x}^{x}e^{tan(ln(x))}ln^{4}(x)}{({x}^{x} - lg(x))^{2}} - \frac{4x{x}^{x}e^{tan(ln(x))}ln^{3}(x)}{({x}^{x} - lg(x))^{2}} - \frac{144{x}^{(3x)}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{5}ln{10}} - \frac{6x{x}^{x}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{2}} + \frac{108{x}^{(2x)}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{4}ln{10}} - \frac{12{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}ln{10}} - \frac{24{x}^{(3x)}e^{tan(ln(x))}ln^{3}(x)}{({x}^{x} - lg(x))^{5}ln{10}} - \frac{144x{x}^{(3x)}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{4}} + \frac{108{x}^{(2x)}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{3}} + \frac{24{x}^{(2x)}e^{tan(ln(x))}ln^{3}(x)}{({x}^{x} - lg(x))^{3}} + \frac{144{x}^{(2x)}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}} - \frac{144x{x}^{(3x)}e^{tan(ln(x))}ln^{3}(x)}{({x}^{x} - lg(x))^{4}} - \frac{4{x}^{x}e^{tan(ln(x))}ln^{3}(x)}{({x}^{x} - lg(x))^{2}} + \frac{56x{x}^{(2x)}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}} - \frac{4x{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{2}} - \frac{18{x}^{x}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{2}} - \frac{4{x}^{x}e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}} - \frac{8{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{2}x} - \frac{6{x}^{x}e^{tan(ln(x))}sec^{4}(ln(x))}{({x}^{x} - lg(x))^{2}x} - \frac{12{x}^{x}e^{tan(ln(x))}tan(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x} - \frac{108{x}^{(3x)}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{4}} - \frac{24{x}^{(3x)}e^{tan(ln(x))}ln^{3}(x)}{({x}^{x} - lg(x))^{4}} - \frac{36{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}xln{10}} + \frac{16{x}^{(2x)}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{3}x} - \frac{4{x}^{x}e^{tan(ln(x))}sec^{6}(ln(x))}{({x}^{x} - lg(x))^{2}x^{2}} - \frac{16{x}^{x}e^{tan(ln(x))}tan^{2}(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x^{2}} + \frac{24x{x}^{(4x)}e^{tan(ln(x))}ln^{4}(x)}{({x}^{x} - lg(x))^{5}} + \frac{144x{x}^{(4x)}e^{tan(ln(x))}ln^{2}(x)}{({x}^{x} - lg(x))^{5}} - \frac{96{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{5}x^{2}ln^{3}{10}} - \frac{36{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{4}xln^{2}{10}} + \frac{4{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}x^{2}ln{10}} - \frac{96{x}^{(3x)}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{5}ln{10}} + \frac{144{x}^{(2x)}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{5}xln^{2}{10}} + \frac{72{x}^{(2x)}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{4}ln{10}} + \frac{108{x}^{(2x)}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{4}xln{10}} - \frac{144{x}^{(3x)}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{4}} - \frac{8{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}ln{10}} - \frac{36{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{4}x^{2}ln^{2}{10}} + \frac{96x{x}^{(4x)}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{5}} - \frac{24{x}^{x}e^{tan(ln(x))}ln(x)}{({x}^{x} - lg(x))^{2}} - \frac{60{x}^{(3x)}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{4}} + \frac{60{x}^{(2x)}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}} - \frac{10{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}} + \frac{24x{x}^{(4x)}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{5}} - \frac{36x{x}^{(3x)}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{4}} + \frac{22{x}^{(2x)}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}x} + \frac{2{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}x^{2}} + \frac{14x{x}^{(2x)}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}} + \frac{24e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{4}x^{3}ln^{3}{10}} - \frac{12e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}x^{3}ln^{2}{10}} + \frac{12e^{tan(ln(x))}sec^{4}(ln(x))}{({x}^{x} - lg(x))^{3}x^{3}ln^{2}{10}} + \frac{24e^{tan(ln(x))}tan(ln(x))sec^{4}(ln(x))}{({x}^{x} - lg(x))^{2}x^{3}ln{10}} + \frac{4e^{tan(ln(x))}sec^{6}(ln(x))}{({x}^{x} - lg(x))^{2}x^{3}ln{10}} + \frac{24e^{tan(ln(x))}tan(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))^{3}x^{3}ln^{2}{10}} - \frac{12e^{tan(ln(x))}tan(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x^{3}ln{10}} + \frac{16e^{tan(ln(x))}tan^{2}(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x^{3}ln{10}} - \frac{11{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}x} + \frac{2e^{tan(ln(x))}sec^{4}(ln(x))}{({x}^{x} - lg(x))^{2}x^{3}ln{10}} - \frac{2e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))^{2}x^{3}ln{10}} + \frac{24e^{tan(ln(x))}}{({x}^{x} - lg(x))^{5}x^{3}ln^{4}{10}} - \frac{5e^{tan(ln(x))}sec^{4}(ln(x))}{({x}^{x} - lg(x))x^{3}} + \frac{6e^{tan(ln(x))}sec^{6}(ln(x))}{({x}^{x} - lg(x))x^{3}} + \frac{12e^{tan(ln(x))}tan(ln(x))sec^{6}(ln(x))}{({x}^{x} - lg(x))x^{3}} + \frac{e^{tan(ln(x))}sec^{8}(ln(x))}{({x}^{x} - lg(x))x^{3}} + \frac{28e^{tan(ln(x))}tan^{2}(ln(x))sec^{4}(ln(x))}{({x}^{x} - lg(x))x^{3}} + \frac{4e^{tan(ln(x))}tan(ln(x))sec^{4}(ln(x))}{({x}^{x} - lg(x))x^{3}} - \frac{8e^{tan(ln(x))}tan^{2}(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))x^{3}} + \frac{8e^{tan(ln(x))}tan^{3}(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))x^{3}} - \frac{x{x}^{x}e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}} - \frac{2e^{tan(ln(x))}}{({x}^{x} - lg(x))^{3}x^{3}ln^{2}{10}} - \frac{12e^{tan(ln(x))}}{({x}^{x} - lg(x))^{4}x^{3}ln^{3}{10}} + \frac{2e^{tan(ln(x))}}{({x}^{x} - lg(x))^{2}x^{3}ln{10}} + \frac{2e^{tan(ln(x))}sec^{2}(ln(x))}{({x}^{x} - lg(x))x^{3}} - \frac{2e^{tan(ln(x))}tan(ln(x))sec^{2}(ln(x))}{({x}^{x} - lg(x))x^{3}}\\ \end{split}\end{equation} \]