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。
\[ \begin{equation}\begin{split}【1/1】求函数\frac{e^{(x - 1)xx}}{({x}^{lg(x)})} 关于 x 的 4 阶导数：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = {x}^{(-lg(x))}e^{x^{3} - x^{2}}\\&\color{blue}{函数的第 1 阶导数：}\\&\frac{d\left( {x}^{(-lg(x))}e^{x^{3} - x^{2}}\right)}{dx}\\=&({x}^{(-lg(x))}((\frac{-1}{ln{10}(x)})ln(x) + \frac{(-lg(x))(1)}{(x)}))e^{x^{3} - x^{2}} + {x}^{(-lg(x))}e^{x^{3} - x^{2}}(3x^{2} - 2x)\\=&\frac{-{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{xln{10}} - \frac{{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg(x)}{x} + 3x^{2}{x}^{(-lg(x))}e^{x^{3} - x^{2}} - 2x{x}^{(-lg(x))}e^{x^{3} - x^{2}}\\\\ &\color{blue}{函数的第 2 阶导数：} \\&\frac{d\left( \frac{-{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{xln{10}} - \frac{{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg(x)}{x} + 3x^{2}{x}^{(-lg(x))}e^{x^{3} - x^{2}} - 2x{x}^{(-lg(x))}e^{x^{3} - x^{2}}\right)}{dx}\\=&\frac{--{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{x^{2}ln{10}} - \frac{({x}^{(-lg(x))}((\frac{-1}{ln{10}(x)})ln(x) + \frac{(-lg(x))(1)}{(x)}))e^{x^{3} - x^{2}}ln(x)}{xln{10}} - \frac{{x}^{(-lg(x))}e^{x^{3} - x^{2}}(3x^{2} - 2x)ln(x)}{xln{10}} - \frac{{x}^{(-lg(x))}e^{x^{3} - x^{2}}*-0ln(x)}{xln^{2}{10}} - \frac{{x}^{(-lg(x))}e^{x^{3} - x^{2}}}{xln{10}(x)} - \frac{-{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg(x)}{x^{2}} - \frac{({x}^{(-lg(x))}((\frac{-1}{ln{10}(x)})ln(x) + \frac{(-lg(x))(1)}{(x)}))e^{x^{3} - x^{2}}lg(x)}{x} - \frac{{x}^{(-lg(x))}e^{x^{3} - x^{2}}(3x^{2} - 2x)lg(x)}{x} - \frac{{x}^{(-lg(x))}e^{x^{3} - x^{2}}}{xln{10}(x)} + 3*2x{x}^{(-lg(x))}e^{x^{3} - x^{2}} + 3x^{2}({x}^{(-lg(x))}((\frac{-1}{ln{10}(x)})ln(x) + \frac{(-lg(x))(1)}{(x)}))e^{x^{3} - x^{2}} + 3x^{2}{x}^{(-lg(x))}e^{x^{3} - x^{2}}(3x^{2} - 2x) - 2{x}^{(-lg(x))}e^{x^{3} - x^{2}} - 2x({x}^{(-lg(x))}((\frac{-1}{ln{10}(x)})ln(x) + \frac{(-lg(x))(1)}{(x)}))e^{x^{3} - x^{2}} - 2x{x}^{(-lg(x))}e^{x^{3} - x^{2}}(3x^{2} - 2x)\\=&\frac{{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)lg(x)}{x^{2}ln{10}} + \frac{{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)lg(x)}{x^{2}ln{10}} + \frac{{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{x^{2}ln{10}} - \frac{3x{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{ln{10}} + \frac{2{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{ln{10}} + \frac{{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln^{2}(x)}{x^{2}ln^{2}{10}} + \frac{{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg(x)}{x^{2}} - \frac{3x{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{ln{10}} + \frac{{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg^{2}(x)}{x^{2}} - 6x{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg(x) + 4{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg(x) - \frac{2{x}^{(-lg(x))}e^{x^{3} - x^{2}}}{x^{2}ln{10}} + 6x{x}^{(-lg(x))}e^{x^{3} - x^{2}} + 9x^{4}{x}^{(-lg(x))}e^{x^{3} - x^{2}} - 12x^{3}{x}^{(-lg(x))}e^{x^{3} - x^{2}} + \frac{2{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{ln{10}} - 2{x}^{(-lg(x))}e^{x^{3} - x^{2}} + 4x^{2}{x}^{(-lg(x))}e^{x^{3} - x^{2}}\\\\ &\color{blue}{函数的第 3 阶导数：} \\&\frac{d\left( \frac{{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)lg(x)}{x^{2}ln{10}} + \frac{{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)lg(x)}{x^{2}ln{10}} + \frac{{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{x^{2}ln{10}} - \frac{3x{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{ln{10}} + \frac{2{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{ln{10}} + \frac{{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln^{2}(x)}{x^{2}ln^{2}{10}} + \frac{{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg(x)}{x^{2}} - \frac{3x{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{ln{10}} + \frac{{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg^{2}(x)}{x^{2}} - 6x{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg(x) + 4{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg(x) - \frac{2{x}^{(-lg(x))}e^{x^{3} - x^{2}}}{x^{2}ln{10}} + 6x{x}^{(-lg(x))}e^{x^{3} - x^{2}} + 9x^{4}{x}^{(-lg(x))}e^{x^{3} - x^{2}} - 12x^{3}{x}^{(-lg(x))}e^{x^{3} - x^{2}} + \frac{2{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{ln{10}} - 2{x}^{(-lg(x))}e^{x^{3} - x^{2}} + 4x^{2}{x}^{(-lg(x))}e^{x^{3} - x^{2}}\right)}{dx}\\=&\frac{-2{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)lg(x)}{x^{3}ln{10}} + \frac{({x}^{(-lg(x))}((\frac{-1}{ln{10}(x)})ln(x) + \frac{(-lg(x))(1)}{(x)}))e^{x^{3} - x^{2}}ln(x)lg(x)}{x^{2}ln{10}} + \frac{{x}^{(-lg(x))}e^{x^{3} - x^{2}}(3x^{2} - 2x)ln(x)lg(x)}{x^{2}ln{10}} + \frac{{x}^{(-lg(x))}e^{x^{3} - x^{2}}*-0ln(x)lg(x)}{x^{2}ln^{2}{10}} + \frac{{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg(x)}{x^{2}ln{10}(x)} + \frac{{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{x^{2}ln{10}ln{10}(x)} + \frac{-2{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)lg(x)}{x^{3}ln{10}} + \frac{({x}^{(-lg(x))}((\frac{-1}{ln{10}(x)})ln(x) + \frac{(-lg(x))(1)}{(x)}))e^{x^{3} - x^{2}}ln(x)lg(x)}{x^{2}ln{10}} + \frac{{x}^{(-lg(x))}e^{x^{3} - x^{2}}(3x^{2} - 2x)ln(x)lg(x)}{x^{2}ln{10}} + \frac{{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg(x)}{x^{2}(x)ln{10}} + \frac{{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)*-0lg(x)}{x^{2}ln^{2}{10}} + \frac{{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{x^{2}ln{10}ln{10}(x)} + \frac{-2{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{x^{3}ln{10}} + \frac{({x}^{(-lg(x))}((\frac{-1}{ln{10}(x)})ln(x) + \frac{(-lg(x))(1)}{(x)}))e^{x^{3} - x^{2}}ln(x)}{x^{2}ln{10}} + \frac{{x}^{(-lg(x))}e^{x^{3} - x^{2}}(3x^{2} - 2x)ln(x)}{x^{2}ln{10}} + \frac{{x}^{(-lg(x))}e^{x^{3} - x^{2}}*-0ln(x)}{x^{2}ln^{2}{10}} + \frac{{x}^{(-lg(x))}e^{x^{3} - x^{2}}}{x^{2}ln{10}(x)} - \frac{3{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{ln{10}} - \frac{3x({x}^{(-lg(x))}((\frac{-1}{ln{10}(x)})ln(x) + \frac{(-lg(x))(1)}{(x)}))e^{x^{3} - x^{2}}ln(x)}{ln{10}} - \frac{3x{x}^{(-lg(x))}e^{x^{3} - x^{2}}(3x^{2} - 2x)ln(x)}{ln{10}} - \frac{3x{x}^{(-lg(x))}e^{x^{3} - x^{2}}*-0ln(x)}{ln^{2}{10}} - \frac{3x{x}^{(-lg(x))}e^{x^{3} - x^{2}}}{ln{10}(x)} + \frac{2({x}^{(-lg(x))}((\frac{-1}{ln{10}(x)})ln(x) + \frac{(-lg(x))(1)}{(x)}))e^{x^{3} - x^{2}}ln(x)}{ln{10}} + \frac{2{x}^{(-lg(x))}e^{x^{3} - x^{2}}(3x^{2} - 2x)ln(x)}{ln{10}} + \frac{2{x}^{(-lg(x))}e^{x^{3} - x^{2}}*-0ln(x)}{ln^{2}{10}} + \frac{2{x}^{(-lg(x))}e^{x^{3} - x^{2}}}{ln{10}(x)} + \frac{-2{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln^{2}(x)}{x^{3}ln^{2}{10}} + \frac{({x}^{(-lg(x))}((\frac{-1}{ln{10}(x)})ln(x) + \frac{(-lg(x))(1)}{(x)}))e^{x^{3} - x^{2}}ln^{2}(x)}{x^{2}ln^{2}{10}} + \frac{{x}^{(-lg(x))}e^{x^{3} - x^{2}}(3x^{2} - 2x)ln^{2}(x)}{x^{2}ln^{2}{10}} + \frac{{x}^{(-lg(x))}e^{x^{3} - x^{2}}*2ln(x)}{x^{2}(x)ln^{2}{10}} + \frac{{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln^{2}(x)*-2*0}{x^{2}ln^{3}{10}} + \frac{-2{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg(x)}{x^{3}} + \frac{({x}^{(-lg(x))}((\frac{-1}{ln{10}(x)})ln(x) + \frac{(-lg(x))(1)}{(x)}))e^{x^{3} - x^{2}}lg(x)}{x^{2}} + \frac{{x}^{(-lg(x))}e^{x^{3} - x^{2}}(3x^{2} - 2x)lg(x)}{x^{2}} + \frac{{x}^{(-lg(x))}e^{x^{3} - x^{2}}}{x^{2}ln{10}(x)} - \frac{3{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{ln{10}} - \frac{3x({x}^{(-lg(x))}((\frac{-1}{ln{10}(x)})ln(x) + \frac{(-lg(x))(1)}{(x)}))e^{x^{3} - x^{2}}ln(x)}{ln{10}} - \frac{3x{x}^{(-lg(x))}e^{x^{3} - x^{2}}(3x^{2} - 2x)ln(x)}{ln{10}} - \frac{3x{x}^{(-lg(x))}e^{x^{3} - x^{2}}}{(x)ln{10}} - \frac{3x{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)*-0}{ln^{2}{10}} + \frac{-2{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg^{2}(x)}{x^{3}} + \frac{({x}^{(-lg(x))}((\frac{-1}{ln{10}(x)})ln(x) + \frac{(-lg(x))(1)}{(x)}))e^{x^{3} - x^{2}}lg^{2}(x)}{x^{2}} + \frac{{x}^{(-lg(x))}e^{x^{3} - x^{2}}(3x^{2} - 2x)lg^{2}(x)}{x^{2}} + \frac{{x}^{(-lg(x))}e^{x^{3} - x^{2}}*2lg(x)}{x^{2}ln{10}(x)} - 6{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg(x) - 6x({x}^{(-lg(x))}((\frac{-1}{ln{10}(x)})ln(x) + \frac{(-lg(x))(1)}{(x)}))e^{x^{3} - x^{2}}lg(x) - 6x{x}^{(-lg(x))}e^{x^{3} - x^{2}}(3x^{2} - 2x)lg(x) - \frac{6x{x}^{(-lg(x))}e^{x^{3} - x^{2}}}{ln{10}(x)} + 4({x}^{(-lg(x))}((\frac{-1}{ln{10}(x)})ln(x) + \frac{(-lg(x))(1)}{(x)}))e^{x^{3} - x^{2}}lg(x) + 4{x}^{(-lg(x))}e^{x^{3} - x^{2}}(3x^{2} - 2x)lg(x) + \frac{4{x}^{(-lg(x))}e^{x^{3} - x^{2}}}{ln{10}(x)} - \frac{2*-2{x}^{(-lg(x))}e^{x^{3} - x^{2}}}{x^{3}ln{10}} - \frac{2({x}^{(-lg(x))}((\frac{-1}{ln{10}(x)})ln(x) + \frac{(-lg(x))(1)}{(x)}))e^{x^{3} - x^{2}}}{x^{2}ln{10}} - \frac{2{x}^{(-lg(x))}e^{x^{3} - x^{2}}(3x^{2} - 2x)}{x^{2}ln{10}} - \frac{2{x}^{(-lg(x))}e^{x^{3} - x^{2}}*-0}{x^{2}ln^{2}{10}} + 6{x}^{(-lg(x))}e^{x^{3} - x^{2}} + 6x({x}^{(-lg(x))}((\frac{-1}{ln{10}(x)})ln(x) + \frac{(-lg(x))(1)}{(x)}))e^{x^{3} - x^{2}} + 6x{x}^{(-lg(x))}e^{x^{3} - x^{2}}(3x^{2} - 2x) + 9*4x^{3}{x}^{(-lg(x))}e^{x^{3} - x^{2}} + 9x^{4}({x}^{(-lg(x))}((\frac{-1}{ln{10}(x)})ln(x) + \frac{(-lg(x))(1)}{(x)}))e^{x^{3} - x^{2}} + 9x^{4}{x}^{(-lg(x))}e^{x^{3} - x^{2}}(3x^{2} - 2x) - 12*3x^{2}{x}^{(-lg(x))}e^{x^{3} - x^{2}} - 12x^{3}({x}^{(-lg(x))}((\frac{-1}{ln{10}(x)})ln(x) + \frac{(-lg(x))(1)}{(x)}))e^{x^{3} - x^{2}} - 12x^{3}{x}^{(-lg(x))}e^{x^{3} - x^{2}}(3x^{2} - 2x) + \frac{2({x}^{(-lg(x))}((\frac{-1}{ln{10}(x)})ln(x) + \frac{(-lg(x))(1)}{(x)}))e^{x^{3} - x^{2}}ln(x)}{ln{10}} + \frac{2{x}^{(-lg(x))}e^{x^{3} - x^{2}}(3x^{2} - 2x)ln(x)}{ln{10}} + \frac{2{x}^{(-lg(x))}e^{x^{3} - x^{2}}}{(x)ln{10}} + \frac{2{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)*-0}{ln^{2}{10}} - 2({x}^{(-lg(x))}((\frac{-1}{ln{10}(x)})ln(x) + \frac{(-lg(x))(1)}{(x)}))e^{x^{3} - x^{2}} - 2{x}^{(-lg(x))}e^{x^{3} - x^{2}}(3x^{2} - 2x) + 4*2x{x}^{(-lg(x))}e^{x^{3} - x^{2}} + 4x^{2}({x}^{(-lg(x))}((\frac{-1}{ln{10}(x)})ln(x) + \frac{(-lg(x))(1)}{(x)}))e^{x^{3} - x^{2}} + 4x^{2}{x}^{(-lg(x))}e^{x^{3} - x^{2}}(3x^{2} - 2x)\\=& - \frac{3{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)lg(x)}{x^{3}ln{10}} - \frac{3{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln^{2}(x)lg(x)}{x^{3}ln^{2}{10}} - \frac{{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)lg^{2}(x)}{x^{3}ln{10}} + \frac{6{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)lg(x)}{ln{10}} - \frac{8{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)lg(x)}{xln{10}} + \frac{6{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg(x)}{x^{3}ln{10}} - \frac{3{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)lg(x)}{x^{3}ln{10}} - \frac{4{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)lg(x)}{xln{10}} - \frac{2{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)lg^{2}(x)}{x^{3}ln{10}} + \frac{12{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)lg(x)}{ln{10}} + \frac{{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{x^{3}ln^{2}{10}} + \frac{5{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{x^{3}ln^{2}{10}} - \frac{2{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{x^{3}ln{10}} - \frac{3{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln^{2}(x)}{x^{3}ln^{2}{10}} - \frac{9x^{3}{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{ln{10}} + \frac{9{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln^{2}(x)}{ln^{2}{10}} + \frac{12x^{2}{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{ln{10}} - \frac{2{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln^{2}(x)}{xln^{2}{10}} - \frac{4{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln^{2}(x)}{xln^{2}{10}} - \frac{4x{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{ln{10}} - \frac{{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln^{3}(x)}{x^{3}ln^{3}{10}} - \frac{18x^{3}{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{ln{10}} + \frac{24x^{2}{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{ln{10}} - \frac{2{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg(x)}{x^{3}} - \frac{3{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg^{2}(x)}{x^{3}} - 9{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg(x) - \frac{8x{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{ln{10}} - \frac{9{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{ln{10}} - \frac{18{x}^{(-lg(x))}e^{x^{3} - x^{2}}}{ln{10}} - \frac{{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg^{3}(x)}{x^{3}} + 9{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg^{2}(x) - \frac{6{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg^{2}(x)}{x} - 27x^{3}{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg(x) + 36x^{2}{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg(x) - 12x{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg(x) + \frac{6{x}^{(-lg(x))}e^{x^{3} - x^{2}}}{x^{3}ln{10}} + \frac{12{x}^{(-lg(x))}e^{x^{3} - x^{2}}}{xln{10}} + 6{x}^{(-lg(x))}e^{x^{3} - x^{2}} + 46x^{3}{x}^{(-lg(x))}e^{x^{3} - x^{2}} - 54x^{2}{x}^{(-lg(x))}e^{x^{3} - x^{2}} + 27x^{6}{x}^{(-lg(x))}e^{x^{3} - x^{2}} - 54x^{5}{x}^{(-lg(x))}e^{x^{3} - x^{2}} + 36x^{4}{x}^{(-lg(x))}e^{x^{3} - x^{2}} + 12x{x}^{(-lg(x))}e^{x^{3} - x^{2}}\\\\ &\color{blue}{函数的第 4 阶导数：} \\&\frac{d\left( - \frac{3{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)lg(x)}{x^{3}ln{10}} - \frac{3{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln^{2}(x)lg(x)}{x^{3}ln^{2}{10}} - \frac{{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)lg^{2}(x)}{x^{3}ln{10}} + \frac{6{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)lg(x)}{ln{10}} - \frac{8{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)lg(x)}{xln{10}} + \frac{6{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg(x)}{x^{3}ln{10}} - \frac{3{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)lg(x)}{x^{3}ln{10}} - \frac{4{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)lg(x)}{xln{10}} - \frac{2{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)lg^{2}(x)}{x^{3}ln{10}} + \frac{12{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)lg(x)}{ln{10}} + \frac{{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{x^{3}ln^{2}{10}} + \frac{5{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{x^{3}ln^{2}{10}} - \frac{2{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{x^{3}ln{10}} - \frac{3{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln^{2}(x)}{x^{3}ln^{2}{10}} - \frac{9x^{3}{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{ln{10}} + \frac{9{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln^{2}(x)}{ln^{2}{10}} + \frac{12x^{2}{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{ln{10}} - \frac{2{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln^{2}(x)}{xln^{2}{10}} - \frac{4{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln^{2}(x)}{xln^{2}{10}} - \frac{4x{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{ln{10}} - \frac{{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln^{3}(x)}{x^{3}ln^{3}{10}} - \frac{18x^{3}{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{ln{10}} + \frac{24x^{2}{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{ln{10}} - \frac{2{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg(x)}{x^{3}} - \frac{3{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg^{2}(x)}{x^{3}} - 9{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg(x) - \frac{8x{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{ln{10}} - \frac{9{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{ln{10}} - \frac{18{x}^{(-lg(x))}e^{x^{3} - x^{2}}}{ln{10}} - \frac{{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg^{3}(x)}{x^{3}} + 9{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg^{2}(x) - \frac{6{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg^{2}(x)}{x} - 27x^{3}{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg(x) + 36x^{2}{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg(x) - 12x{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg(x) + \frac{6{x}^{(-lg(x))}e^{x^{3} - x^{2}}}{x^{3}ln{10}} + \frac{12{x}^{(-lg(x))}e^{x^{3} - x^{2}}}{xln{10}} + 6{x}^{(-lg(x))}e^{x^{3} - x^{2}} + 46x^{3}{x}^{(-lg(x))}e^{x^{3} - x^{2}} - 54x^{2}{x}^{(-lg(x))}e^{x^{3} - x^{2}} + 27x^{6}{x}^{(-lg(x))}e^{x^{3} - x^{2}} - 54x^{5}{x}^{(-lg(x))}e^{x^{3} - x^{2}} + 36x^{4}{x}^{(-lg(x))}e^{x^{3} - x^{2}} + 12x{x}^{(-lg(x))}e^{x^{3} - x^{2}}\right)}{dx}\\=& - \frac{3*-3{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)lg(x)}{x^{4}ln{10}} - \frac{3({x}^{(-lg(x))}((\frac{-1}{ln{10}(x)})ln(x) + \frac{(-lg(x))(1)}{(x)}))e^{x^{3} - x^{2}}ln(x)lg(x)}{x^{3}ln{10}} - \frac{3{x}^{(-lg(x))}e^{x^{3} - x^{2}}(3x^{2} - 2x)ln(x)lg(x)}{x^{3}ln{10}} - \frac{3{x}^{(-lg(x))}e^{x^{3} - x^{2}}*-0ln(x)lg(x)}{x^{3}ln^{2}{10}} - \frac{3{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg(x)}{x^{3}ln{10}(x)} - \frac{3{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{x^{3}ln{10}ln{10}(x)} - \frac{3*-3{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln^{2}(x)lg(x)}{x^{4}ln^{2}{10}} - \frac{3({x}^{(-lg(x))}((\frac{-1}{ln{10}(x)})ln(x) + \frac{(-lg(x))(1)}{(x)}))e^{x^{3} - x^{2}}ln^{2}(x)lg(x)}{x^{3}ln^{2}{10}} - \frac{3{x}^{(-lg(x))}e^{x^{3} - x^{2}}(3x^{2} - 2x)ln^{2}(x)lg(x)}{x^{3}ln^{2}{10}} - \frac{3{x}^{(-lg(x))}e^{x^{3} - x^{2}}*2ln(x)lg(x)}{x^{3}(x)ln^{2}{10}} - \frac{3{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln^{2}(x)*-2*0lg(x)}{x^{3}ln^{3}{10}} - \frac{3{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln^{2}(x)}{x^{3}ln^{2}{10}ln{10}(x)} - \frac{-3{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)lg^{2}(x)}{x^{4}ln{10}} - \frac{({x}^{(-lg(x))}((\frac{-1}{ln{10}(x)})ln(x) + \frac{(-lg(x))(1)}{(x)}))e^{x^{3} - x^{2}}ln(x)lg^{2}(x)}{x^{3}ln{10}} - \frac{{x}^{(-lg(x))}e^{x^{3} - x^{2}}(3x^{2} - 2x)ln(x)lg^{2}(x)}{x^{3}ln{10}} - \frac{{x}^{(-lg(x))}e^{x^{3} - x^{2}}*-0ln(x)lg^{2}(x)}{x^{3}ln^{2}{10}} - \frac{{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg^{2}(x)}{x^{3}ln{10}(x)} - \frac{{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)*2lg(x)}{x^{3}ln{10}ln{10}(x)} + \frac{6({x}^{(-lg(x))}((\frac{-1}{ln{10}(x)})ln(x) + \frac{(-lg(x))(1)}{(x)}))e^{x^{3} - x^{2}}ln(x)lg(x)}{ln{10}} + \frac{6{x}^{(-lg(x))}e^{x^{3} - x^{2}}(3x^{2} - 2x)ln(x)lg(x)}{ln{10}} + \frac{6{x}^{(-lg(x))}e^{x^{3} - x^{2}}*-0ln(x)lg(x)}{ln^{2}{10}} + \frac{6{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg(x)}{ln{10}(x)} + \frac{6{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{ln{10}ln{10}(x)} - \frac{8*-{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)lg(x)}{x^{2}ln{10}} - \frac{8({x}^{(-lg(x))}((\frac{-1}{ln{10}(x)})ln(x) + \frac{(-lg(x))(1)}{(x)}))e^{x^{3} - x^{2}}ln(x)lg(x)}{xln{10}} - \frac{8{x}^{(-lg(x))}e^{x^{3} - x^{2}}(3x^{2} - 2x)ln(x)lg(x)}{xln{10}} - \frac{8{x}^{(-lg(x))}e^{x^{3} - x^{2}}*-0ln(x)lg(x)}{xln^{2}{10}} - \frac{8{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg(x)}{xln{10}(x)} - \frac{8{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{xln{10}ln{10}(x)} + \frac{6*-3{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg(x)}{x^{4}ln{10}} + \frac{6({x}^{(-lg(x))}((\frac{-1}{ln{10}(x)})ln(x) + \frac{(-lg(x))(1)}{(x)}))e^{x^{3} - x^{2}}lg(x)}{x^{3}ln{10}} + \frac{6{x}^{(-lg(x))}e^{x^{3} - x^{2}}(3x^{2} - 2x)lg(x)}{x^{3}ln{10}} + \frac{6{x}^{(-lg(x))}e^{x^{3} - x^{2}}*-0lg(x)}{x^{3}ln^{2}{10}} + \frac{6{x}^{(-lg(x))}e^{x^{3} - x^{2}}}{x^{3}ln{10}ln{10}(x)} - \frac{3*-3{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)lg(x)}{x^{4}ln{10}} - \frac{3({x}^{(-lg(x))}((\frac{-1}{ln{10}(x)})ln(x) + \frac{(-lg(x))(1)}{(x)}))e^{x^{3} - x^{2}}ln(x)lg(x)}{x^{3}ln{10}} - \frac{3{x}^{(-lg(x))}e^{x^{3} - x^{2}}(3x^{2} - 2x)ln(x)lg(x)}{x^{3}ln{10}} - \frac{3{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg(x)}{x^{3}(x)ln{10}} - \frac{3{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)*-0lg(x)}{x^{3}ln^{2}{10}} - \frac{3{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{x^{3}ln{10}ln{10}(x)} - \frac{4*-{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)lg(x)}{x^{2}ln{10}} - \frac{4({x}^{(-lg(x))}((\frac{-1}{ln{10}(x)})ln(x) + \frac{(-lg(x))(1)}{(x)}))e^{x^{3} - x^{2}}ln(x)lg(x)}{xln{10}} - \frac{4{x}^{(-lg(x))}e^{x^{3} - x^{2}}(3x^{2} - 2x)ln(x)lg(x)}{xln{10}} - \frac{4{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg(x)}{x(x)ln{10}} - \frac{4{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)*-0lg(x)}{xln^{2}{10}} - \frac{4{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{xln{10}ln{10}(x)} - \frac{2*-3{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)lg^{2}(x)}{x^{4}ln{10}} - \frac{2({x}^{(-lg(x))}((\frac{-1}{ln{10}(x)})ln(x) + \frac{(-lg(x))(1)}{(x)}))e^{x^{3} - x^{2}}ln(x)lg^{2}(x)}{x^{3}ln{10}} - \frac{2{x}^{(-lg(x))}e^{x^{3} - x^{2}}(3x^{2} - 2x)ln(x)lg^{2}(x)}{x^{3}ln{10}} - \frac{2{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg^{2}(x)}{x^{3}(x)ln{10}} - \frac{2{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)*-0lg^{2}(x)}{x^{3}ln^{2}{10}} - \frac{2{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)*2lg(x)}{x^{3}ln{10}ln{10}(x)} + \frac{12({x}^{(-lg(x))}((\frac{-1}{ln{10}(x)})ln(x) + \frac{(-lg(x))(1)}{(x)}))e^{x^{3} - x^{2}}ln(x)lg(x)}{ln{10}} + \frac{12{x}^{(-lg(x))}e^{x^{3} - x^{2}}(3x^{2} - 2x)ln(x)lg(x)}{ln{10}} + \frac{12{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg(x)}{(x)ln{10}} + \frac{12{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)*-0lg(x)}{ln^{2}{10}} + \frac{12{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{ln{10}ln{10}(x)} + \frac{-3{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{x^{4}ln^{2}{10}} + \frac{({x}^{(-lg(x))}((\frac{-1}{ln{10}(x)})ln(x) + \frac{(-lg(x))(1)}{(x)}))e^{x^{3} - x^{2}}ln(x)}{x^{3}ln^{2}{10}} + \frac{{x}^{(-lg(x))}e^{x^{3} - x^{2}}(3x^{2} - 2x)ln(x)}{x^{3}ln^{2}{10}} + \frac{{x}^{(-lg(x))}e^{x^{3} - x^{2}}*-2*0ln(x)}{x^{3}ln^{3}{10}} + \frac{{x}^{(-lg(x))}e^{x^{3} - x^{2}}}{x^{3}ln^{2}{10}(x)} + \frac{5*-3{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{x^{4}ln^{2}{10}} + \frac{5({x}^{(-lg(x))}((\frac{-1}{ln{10}(x)})ln(x) + \frac{(-lg(x))(1)}{(x)}))e^{x^{3} - x^{2}}ln(x)}{x^{3}ln^{2}{10}} + \frac{5{x}^{(-lg(x))}e^{x^{3} - x^{2}}(3x^{2} - 2x)ln(x)}{x^{3}ln^{2}{10}} + \frac{5{x}^{(-lg(x))}e^{x^{3} - x^{2}}}{x^{3}(x)ln^{2}{10}} + \frac{5{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)*-2*0}{x^{3}ln^{3}{10}} - \frac{2*-3{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{x^{4}ln{10}} - \frac{2({x}^{(-lg(x))}((\frac{-1}{ln{10}(x)})ln(x) + \frac{(-lg(x))(1)}{(x)}))e^{x^{3} - x^{2}}ln(x)}{x^{3}ln{10}} - \frac{2{x}^{(-lg(x))}e^{x^{3} - x^{2}}(3x^{2} - 2x)ln(x)}{x^{3}ln{10}} - \frac{2{x}^{(-lg(x))}e^{x^{3} - x^{2}}*-0ln(x)}{x^{3}ln^{2}{10}} - \frac{2{x}^{(-lg(x))}e^{x^{3} - x^{2}}}{x^{3}ln{10}(x)} - \frac{3*-3{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln^{2}(x)}{x^{4}ln^{2}{10}} - \frac{3({x}^{(-lg(x))}((\frac{-1}{ln{10}(x)})ln(x) + \frac{(-lg(x))(1)}{(x)}))e^{x^{3} - x^{2}}ln^{2}(x)}{x^{3}ln^{2}{10}} - \frac{3{x}^{(-lg(x))}e^{x^{3} - x^{2}}(3x^{2} - 2x)ln^{2}(x)}{x^{3}ln^{2}{10}} - \frac{3{x}^{(-lg(x))}e^{x^{3} - x^{2}}*2ln(x)}{x^{3}(x)ln^{2}{10}} - \frac{3{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln^{2}(x)*-2*0}{x^{3}ln^{3}{10}} - \frac{9*3x^{2}{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{ln{10}} - \frac{9x^{3}({x}^{(-lg(x))}((\frac{-1}{ln{10}(x)})ln(x) + \frac{(-lg(x))(1)}{(x)}))e^{x^{3} - x^{2}}ln(x)}{ln{10}} - \frac{9x^{3}{x}^{(-lg(x))}e^{x^{3} - x^{2}}(3x^{2} - 2x)ln(x)}{ln{10}} - \frac{9x^{3}{x}^{(-lg(x))}e^{x^{3} - x^{2}}*-0ln(x)}{ln^{2}{10}} - \frac{9x^{3}{x}^{(-lg(x))}e^{x^{3} - x^{2}}}{ln{10}(x)} + \frac{9({x}^{(-lg(x))}((\frac{-1}{ln{10}(x)})ln(x) + \frac{(-lg(x))(1)}{(x)}))e^{x^{3} - x^{2}}ln^{2}(x)}{ln^{2}{10}} + \frac{9{x}^{(-lg(x))}e^{x^{3} - x^{2}}(3x^{2} - 2x)ln^{2}(x)}{ln^{2}{10}} + \frac{9{x}^{(-lg(x))}e^{x^{3} - x^{2}}*2ln(x)}{(x)ln^{2}{10}} + \frac{9{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln^{2}(x)*-2*0}{ln^{3}{10}} + \frac{12*2x{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{ln{10}} + \frac{12x^{2}({x}^{(-lg(x))}((\frac{-1}{ln{10}(x)})ln(x) + \frac{(-lg(x))(1)}{(x)}))e^{x^{3} - x^{2}}ln(x)}{ln{10}} + \frac{12x^{2}{x}^{(-lg(x))}e^{x^{3} - x^{2}}(3x^{2} - 2x)ln(x)}{ln{10}} + \frac{12x^{2}{x}^{(-lg(x))}e^{x^{3} - x^{2}}*-0ln(x)}{ln^{2}{10}} + \frac{12x^{2}{x}^{(-lg(x))}e^{x^{3} - x^{2}}}{ln{10}(x)} - \frac{2*-{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln^{2}(x)}{x^{2}ln^{2}{10}} - \frac{2({x}^{(-lg(x))}((\frac{-1}{ln{10}(x)})ln(x) + \frac{(-lg(x))(1)}{(x)}))e^{x^{3} - x^{2}}ln^{2}(x)}{xln^{2}{10}} - \frac{2{x}^{(-lg(x))}e^{x^{3} - x^{2}}(3x^{2} - 2x)ln^{2}(x)}{xln^{2}{10}} - \frac{2{x}^{(-lg(x))}e^{x^{3} - x^{2}}*2ln(x)}{x(x)ln^{2}{10}} - \frac{2{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln^{2}(x)*-2*0}{xln^{3}{10}} - \frac{4*-{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln^{2}(x)}{x^{2}ln^{2}{10}} - \frac{4({x}^{(-lg(x))}((\frac{-1}{ln{10}(x)})ln(x) + \frac{(-lg(x))(1)}{(x)}))e^{x^{3} - x^{2}}ln^{2}(x)}{xln^{2}{10}} - \frac{4{x}^{(-lg(x))}e^{x^{3} - x^{2}}(3x^{2} - 2x)ln^{2}(x)}{xln^{2}{10}} - \frac{4{x}^{(-lg(x))}e^{x^{3} - x^{2}}*-2*0ln^{2}(x)}{xln^{3}{10}} - \frac{4{x}^{(-lg(x))}e^{x^{3} - x^{2}}*2ln(x)}{xln^{2}{10}(x)} - \frac{4{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{ln{10}} - \frac{4x({x}^{(-lg(x))}((\frac{-1}{ln{10}(x)})ln(x) + \frac{(-lg(x))(1)}{(x)}))e^{x^{3} - x^{2}}ln(x)}{ln{10}} - \frac{4x{x}^{(-lg(x))}e^{x^{3} - x^{2}}(3x^{2} - 2x)ln(x)}{ln{10}} - \frac{4x{x}^{(-lg(x))}e^{x^{3} - x^{2}}*-0ln(x)}{ln^{2}{10}} - \frac{4x{x}^{(-lg(x))}e^{x^{3} - x^{2}}}{ln{10}(x)} - \frac{-3{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln^{3}(x)}{x^{4}ln^{3}{10}} - \frac{({x}^{(-lg(x))}((\frac{-1}{ln{10}(x)})ln(x) + \frac{(-lg(x))(1)}{(x)}))e^{x^{3} - x^{2}}ln^{3}(x)}{x^{3}ln^{3}{10}} - \frac{{x}^{(-lg(x))}e^{x^{3} - x^{2}}(3x^{2} - 2x)ln^{3}(x)}{x^{3}ln^{3}{10}} - \frac{{x}^{(-lg(x))}e^{x^{3} - x^{2}}*3ln^{2}(x)}{x^{3}(x)ln^{3}{10}} - \frac{{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln^{3}(x)*-3*0}{x^{3}ln^{4}{10}} - \frac{18*3x^{2}{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{ln{10}} - \frac{18x^{3}({x}^{(-lg(x))}((\frac{-1}{ln{10}(x)})ln(x) + \frac{(-lg(x))(1)}{(x)}))e^{x^{3} - x^{2}}ln(x)}{ln{10}} - \frac{18x^{3}{x}^{(-lg(x))}e^{x^{3} - x^{2}}(3x^{2} - 2x)ln(x)}{ln{10}} - \frac{18x^{3}{x}^{(-lg(x))}e^{x^{3} - x^{2}}}{(x)ln{10}} - \frac{18x^{3}{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)*-0}{ln^{2}{10}} + \frac{24*2x{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{ln{10}} + \frac{24x^{2}({x}^{(-lg(x))}((\frac{-1}{ln{10}(x)})ln(x) + \frac{(-lg(x))(1)}{(x)}))e^{x^{3} - x^{2}}ln(x)}{ln{10}} + \frac{24x^{2}{x}^{(-lg(x))}e^{x^{3} - x^{2}}(3x^{2} - 2x)ln(x)}{ln{10}} + \frac{24x^{2}{x}^{(-lg(x))}e^{x^{3} - x^{2}}}{(x)ln{10}} + \frac{24x^{2}{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)*-0}{ln^{2}{10}} - \frac{2*-3{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg(x)}{x^{4}} - \frac{2({x}^{(-lg(x))}((\frac{-1}{ln{10}(x)})ln(x) + \frac{(-lg(x))(1)}{(x)}))e^{x^{3} - x^{2}}lg(x)}{x^{3}} - \frac{2{x}^{(-lg(x))}e^{x^{3} - x^{2}}(3x^{2} - 2x)lg(x)}{x^{3}} - \frac{2{x}^{(-lg(x))}e^{x^{3} - x^{2}}}{x^{3}ln{10}(x)} - \frac{3*-3{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg^{2}(x)}{x^{4}} - \frac{3({x}^{(-lg(x))}((\frac{-1}{ln{10}(x)})ln(x) + \frac{(-lg(x))(1)}{(x)}))e^{x^{3} - x^{2}}lg^{2}(x)}{x^{3}} - \frac{3{x}^{(-lg(x))}e^{x^{3} - x^{2}}(3x^{2} - 2x)lg^{2}(x)}{x^{3}} - \frac{3{x}^{(-lg(x))}e^{x^{3} - x^{2}}*2lg(x)}{x^{3}ln{10}(x)} - 9({x}^{(-lg(x))}((\frac{-1}{ln{10}(x)})ln(x) + \frac{(-lg(x))(1)}{(x)}))e^{x^{3} - x^{2}}lg(x) - 9{x}^{(-lg(x))}e^{x^{3} - x^{2}}(3x^{2} - 2x)lg(x) - \frac{9{x}^{(-lg(x))}e^{x^{3} - x^{2}}}{ln{10}(x)} - \frac{8{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{ln{10}} - \frac{8x({x}^{(-lg(x))}((\frac{-1}{ln{10}(x)})ln(x) + \frac{(-lg(x))(1)}{(x)}))e^{x^{3} - x^{2}}ln(x)}{ln{10}} - \frac{8x{x}^{(-lg(x))}e^{x^{3} - x^{2}}(3x^{2} - 2x)ln(x)}{ln{10}} - \frac{8x{x}^{(-lg(x))}e^{x^{3} - x^{2}}}{(x)ln{10}} - \frac{8x{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)*-0}{ln^{2}{10}} - \frac{9({x}^{(-lg(x))}((\frac{-1}{ln{10}(x)})ln(x) + \frac{(-lg(x))(1)}{(x)}))e^{x^{3} - x^{2}}ln(x)}{ln{10}} - \frac{9{x}^{(-lg(x))}e^{x^{3} - x^{2}}(3x^{2} - 2x)ln(x)}{ln{10}} - \frac{9{x}^{(-lg(x))}e^{x^{3} - x^{2}}}{(x)ln{10}} - \frac{9{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)*-0}{ln^{2}{10}} - \frac{18({x}^{(-lg(x))}((\frac{-1}{ln{10}(x)})ln(x) + \frac{(-lg(x))(1)}{(x)}))e^{x^{3} - x^{2}}}{ln{10}} - \frac{18{x}^{(-lg(x))}e^{x^{3} - x^{2}}(3x^{2} - 2x)}{ln{10}} - \frac{18{x}^{(-lg(x))}e^{x^{3} - x^{2}}*-0}{ln^{2}{10}} - \frac{-3{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg^{3}(x)}{x^{4}} - \frac{({x}^{(-lg(x))}((\frac{-1}{ln{10}(x)})ln(x) + \frac{(-lg(x))(1)}{(x)}))e^{x^{3} - x^{2}}lg^{3}(x)}{x^{3}} - \frac{{x}^{(-lg(x))}e^{x^{3} - x^{2}}(3x^{2} - 2x)lg^{3}(x)}{x^{3}} - \frac{{x}^{(-lg(x))}e^{x^{3} - x^{2}}*3lg^{2}(x)}{x^{3}ln{10}(x)} + 9({x}^{(-lg(x))}((\frac{-1}{ln{10}(x)})ln(x) + \frac{(-lg(x))(1)}{(x)}))e^{x^{3} - x^{2}}lg^{2}(x) + 9{x}^{(-lg(x))}e^{x^{3} - x^{2}}(3x^{2} - 2x)lg^{2}(x) + \frac{9{x}^{(-lg(x))}e^{x^{3} - x^{2}}*2lg(x)}{ln{10}(x)} - \frac{6*-{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg^{2}(x)}{x^{2}} - \frac{6({x}^{(-lg(x))}((\frac{-1}{ln{10}(x)})ln(x) + \frac{(-lg(x))(1)}{(x)}))e^{x^{3} - x^{2}}lg^{2}(x)}{x} - \frac{6{x}^{(-lg(x))}e^{x^{3} - x^{2}}(3x^{2} - 2x)lg^{2}(x)}{x} - \frac{6{x}^{(-lg(x))}e^{x^{3} - x^{2}}*2lg(x)}{xln{10}(x)} - 27*3x^{2}{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg(x) - 27x^{3}({x}^{(-lg(x))}((\frac{-1}{ln{10}(x)})ln(x) + \frac{(-lg(x))(1)}{(x)}))e^{x^{3} - x^{2}}lg(x) - 27x^{3}{x}^{(-lg(x))}e^{x^{3} - x^{2}}(3x^{2} - 2x)lg(x) - \frac{27x^{3}{x}^{(-lg(x))}e^{x^{3} - x^{2}}}{ln{10}(x)} + 36*2x{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg(x) + 36x^{2}({x}^{(-lg(x))}((\frac{-1}{ln{10}(x)})ln(x) + \frac{(-lg(x))(1)}{(x)}))e^{x^{3} - x^{2}}lg(x) + 36x^{2}{x}^{(-lg(x))}e^{x^{3} - x^{2}}(3x^{2} - 2x)lg(x) + \frac{36x^{2}{x}^{(-lg(x))}e^{x^{3} - x^{2}}}{ln{10}(x)} - 12{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg(x) - 12x({x}^{(-lg(x))}((\frac{-1}{ln{10}(x)})ln(x) + \frac{(-lg(x))(1)}{(x)}))e^{x^{3} - x^{2}}lg(x) - 12x{x}^{(-lg(x))}e^{x^{3} - x^{2}}(3x^{2} - 2x)lg(x) - \frac{12x{x}^{(-lg(x))}e^{x^{3} - x^{2}}}{ln{10}(x)} + \frac{6*-3{x}^{(-lg(x))}e^{x^{3} - x^{2}}}{x^{4}ln{10}} + \frac{6({x}^{(-lg(x))}((\frac{-1}{ln{10}(x)})ln(x) + \frac{(-lg(x))(1)}{(x)}))e^{x^{3} - x^{2}}}{x^{3}ln{10}} + \frac{6{x}^{(-lg(x))}e^{x^{3} - x^{2}}(3x^{2} - 2x)}{x^{3}ln{10}} + \frac{6{x}^{(-lg(x))}e^{x^{3} - x^{2}}*-0}{x^{3}ln^{2}{10}} + \frac{12*-{x}^{(-lg(x))}e^{x^{3} - x^{2}}}{x^{2}ln{10}} + \frac{12({x}^{(-lg(x))}((\frac{-1}{ln{10}(x)})ln(x) + \frac{(-lg(x))(1)}{(x)}))e^{x^{3} - x^{2}}}{xln{10}} + \frac{12{x}^{(-lg(x))}e^{x^{3} - x^{2}}(3x^{2} - 2x)}{xln{10}} + \frac{12{x}^{(-lg(x))}e^{x^{3} - x^{2}}*-0}{xln^{2}{10}} + 6({x}^{(-lg(x))}((\frac{-1}{ln{10}(x)})ln(x) + \frac{(-lg(x))(1)}{(x)}))e^{x^{3} - x^{2}} + 6{x}^{(-lg(x))}e^{x^{3} - x^{2}}(3x^{2} - 2x) + 46*3x^{2}{x}^{(-lg(x))}e^{x^{3} - x^{2}} + 46x^{3}({x}^{(-lg(x))}((\frac{-1}{ln{10}(x)})ln(x) + \frac{(-lg(x))(1)}{(x)}))e^{x^{3} - x^{2}} + 46x^{3}{x}^{(-lg(x))}e^{x^{3} - x^{2}}(3x^{2} - 2x) - 54*2x{x}^{(-lg(x))}e^{x^{3} - x^{2}} - 54x^{2}({x}^{(-lg(x))}((\frac{-1}{ln{10}(x)})ln(x) + \frac{(-lg(x))(1)}{(x)}))e^{x^{3} - x^{2}} - 54x^{2}{x}^{(-lg(x))}e^{x^{3} - x^{2}}(3x^{2} - 2x) + 27*6x^{5}{x}^{(-lg(x))}e^{x^{3} - x^{2}} + 27x^{6}({x}^{(-lg(x))}((\frac{-1}{ln{10}(x)})ln(x) + \frac{(-lg(x))(1)}{(x)}))e^{x^{3} - x^{2}} + 27x^{6}{x}^{(-lg(x))}e^{x^{3} - x^{2}}(3x^{2} - 2x) - 54*5x^{4}{x}^{(-lg(x))}e^{x^{3} - x^{2}} - 54x^{5}({x}^{(-lg(x))}((\frac{-1}{ln{10}(x)})ln(x) + \frac{(-lg(x))(1)}{(x)}))e^{x^{3} - x^{2}} - 54x^{5}{x}^{(-lg(x))}e^{x^{3} - x^{2}}(3x^{2} - 2x) + 36*4x^{3}{x}^{(-lg(x))}e^{x^{3} - x^{2}} + 36x^{4}({x}^{(-lg(x))}((\frac{-1}{ln{10}(x)})ln(x) + \frac{(-lg(x))(1)}{(x)}))e^{x^{3} - x^{2}} + 36x^{4}{x}^{(-lg(x))}e^{x^{3} - x^{2}}(3x^{2} - 2x) + 12{x}^{(-lg(x))}e^{x^{3} - x^{2}} + 12x({x}^{(-lg(x))}((\frac{-1}{ln{10}(x)})ln(x) + \frac{(-lg(x))(1)}{(x)}))e^{x^{3} - x^{2}} + 12x{x}^{(-lg(x))}e^{x^{3} - x^{2}}(3x^{2} - 2x)\\=&\frac{11{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)lg(x)}{x^{4}ln{10}} + \frac{18{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln^{2}(x)lg(x)}{x^{4}ln^{2}{10}} + \frac{6{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)lg^{2}(x)}{x^{4}ln{10}} + \frac{14{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)lg(x)}{x^{2}ln{10}} - \frac{36{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg(x)}{x^{4}ln{10}} - \frac{18{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln^{2}(x)lg(x)}{xln^{2}{10}} + \frac{4{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln^{3}(x)lg(x)}{x^{4}ln^{3}{10}} + \frac{6{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln^{2}(x)lg^{2}(x)}{x^{4}ln^{2}{10}} + \frac{20{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln^{2}(x)lg(x)}{x^{2}ln^{2}{10}} - \frac{19{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)lg(x)}{x^{4}ln^{2}{10}} - \frac{18{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)lg^{2}(x)}{xln{10}} + \frac{10{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)lg^{2}(x)}{x^{2}ln{10}} + \frac{{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)lg^{3}(x)}{x^{4}ln{10}} + \frac{27x^{2}{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)lg(x)}{ln{10}} - \frac{48x{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)lg(x)}{ln{10}} - \frac{12{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg^{2}(x)}{x^{4}ln{10}} - \frac{18{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln^{2}(x)lg(x)}{xln^{2}{10}} + \frac{11{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)lg(x)}{x^{4}ln{10}} + \frac{72{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg(x)}{xln{10}} + \frac{10{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)lg(x)}{x^{2}ln{10}} + \frac{20{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)lg(x)}{ln{10}} - \frac{48{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg(x)}{x^{2}ln{10}} - \frac{96x{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)lg(x)}{ln{10}} - \frac{18{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)lg^{2}(x)}{xln{10}} + \frac{12{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)lg^{2}(x)}{x^{4}ln{10}} + \frac{14{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)lg^{2}(x)}{x^{2}ln{10}} - \frac{5{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)lg(x)}{x^{4}ln^{2}{10}} + \frac{81x^{2}{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)lg(x)}{ln{10}} + \frac{28{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)lg(x)}{ln{10}} + \frac{3{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)lg^{3}(x)}{x^{4}ln{10}} + \frac{4{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln^{2}(x)lg(x)}{x^{2}ln^{2}{10}} - \frac{6{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{x^{4}ln^{2}{10}} - \frac{38{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{x^{2}ln^{2}{10}} + \frac{27{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{xln^{2}{10}} - \frac{30{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{x^{4}ln^{2}{10}} - \frac{10{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{x^{2}ln^{2}{10}} + \frac{45{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{xln^{2}{10}} - \frac{12{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{xln{10}} + \frac{4{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{x^{2}ln{10}} + \frac{6{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{x^{4}ln{10}} - \frac{9{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln^{2}(x)}{xln^{2}{10}} + \frac{11{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln^{2}(x)}{x^{4}ln^{2}{10}} + \frac{8{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln^{2}(x)}{x^{2}ln^{2}{10}} - \frac{27x^{5}{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{ln{10}} + \frac{54x^{4}{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{ln{10}} + \frac{6{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln^{3}(x)}{x^{4}ln^{3}{10}} - \frac{19x^{2}{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{ln{10}} - \frac{36x^{3}{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{ln{10}} + \frac{54x^{2}{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln^{2}(x)}{ln^{2}{10}} - \frac{60x{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln^{2}(x)}{ln^{2}{10}} + \frac{16{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln^{2}(x)}{ln^{2}{10}} - \frac{9{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln^{3}(x)}{xln^{3}{10}} + \frac{24x{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{ln{10}} - \frac{12x{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln^{2}(x)}{ln^{2}{10}} - \frac{3{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln^{3}(x)}{xln^{3}{10}} + \frac{8{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln^{2}(x)}{ln^{2}{10}} + \frac{8{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln^{3}(x)}{x^{2}ln^{3}{10}} + \frac{4{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln^{2}(x)}{x^{2}ln^{2}{10}} - \frac{12{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln^{2}(x)}{x^{4}ln^{3}{10}} - \frac{81x^{5}{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{ln{10}} + \frac{162x^{4}{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{ln{10}} - \frac{4{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{ln{10}} - \frac{108x^{3}{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{ln{10}} - \frac{111x^{2}{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{ln{10}} + \frac{{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln^{4}(x)}{x^{4}ln^{4}{10}} + \frac{120x{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{ln{10}} + \frac{9{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln^{2}(x)}{xln^{2}{10}} + \frac{144x{x}^{(-lg(x))}e^{x^{3} - x^{2}}}{ln{10}} - \frac{108x^{2}{x}^{(-lg(x))}e^{x^{3} - x^{2}}}{ln{10}} + \frac{12{x}^{(-lg(x))}e^{x^{3} - x^{2}}}{x^{4}ln^{2}{10}} - \frac{20{x}^{(-lg(x))}e^{x^{3} - x^{2}}ln(x)}{ln{10}} + \frac{6{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg(x)}{x^{4}} + \frac{11{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg^{2}(x)}{x^{4}} - \frac{12{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg(x)}{x} + \frac{4{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg(x)}{x^{2}} + \frac{6{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg^{3}(x)}{x^{4}} + \frac{12{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg^{2}(x)}{x^{2}} - 130x^{2}{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg(x) + 144x{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg(x) - \frac{48{x}^{(-lg(x))}e^{x^{3} - x^{2}}}{ln{10}} - \frac{22{x}^{(-lg(x))}e^{x^{3} - x^{2}}}{x^{4}ln{10}} + \frac{{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg^{4}(x)}{x^{4}} - \frac{12{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg^{3}(x)}{x} + \frac{8{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg^{3}(x)}{x^{2}} + 54x^{2}{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg^{2}(x) - 72x{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg^{2}(x) + 24{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg^{2}(x) - 108x^{5}{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg(x) + 216x^{4}{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg(x) - 144x^{3}{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg(x) - 24{x}^{(-lg(x))}e^{x^{3} - x^{2}}lg(x) - \frac{24{x}^{(-lg(x))}e^{x^{3} - x^{2}}}{x^{2}ln{10}} + 132x^{2}{x}^{(-lg(x))}e^{x^{3} - x^{2}} - 120x{x}^{(-lg(x))}e^{x^{3} - x^{2}} + 228x^{5}{x}^{(-lg(x))}e^{x^{3} - x^{2}} - 524x^{4}{x}^{(-lg(x))}e^{x^{3} - x^{2}} + 288x^{3}{x}^{(-lg(x))}e^{x^{3} - x^{2}} + 81x^{8}{x}^{(-lg(x))}e^{x^{3} - x^{2}} - 216x^{7}{x}^{(-lg(x))}e^{x^{3} - x^{2}} + 216x^{6}{x}^{(-lg(x))}e^{x^{3} - x^{2}} + 12{x}^{(-lg(x))}e^{x^{3} - x^{2}}\\ \end{split}\end{equation} \]

你的问题在这里没有得到解决？请到 热门难题 里面看看吧！