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。\[ \begin{equation}\begin{split}【1/1】求函数sin(sin(cos(cos(lg(lg(x)))))) 关于 x 的 4 阶导数:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\解:&\\ &\color{blue}{函数的第 1 阶导数:}\\&\frac{d\left( sin(sin(cos(cos(lg(lg(x))))))\right)}{dx}\\=&\frac{cos(sin(cos(cos(lg(lg(x))))))cos(cos(cos(lg(lg(x)))))*-sin(cos(lg(lg(x))))*-sin(lg(lg(x)))}{ln{10}(lg(x))ln{10}(x)}\\=&\frac{sin(lg(lg(x)))sin(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{xln^{2}{10}lg(x)}\\\\ &\color{blue}{函数的第 2 阶导数:} \\&\frac{d\left( \frac{sin(lg(lg(x)))sin(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{xln^{2}{10}lg(x)}\right)}{dx}\\=&\frac{-sin(lg(lg(x)))sin(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{2}ln^{2}{10}lg(x)} + \frac{-2*0sin(lg(lg(x)))sin(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{xln^{3}{10}lg(x)} + \frac{-sin(lg(lg(x)))sin(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{xln^{2}{10}lg^{2}(x)ln{10}(x)} + \frac{cos(lg(lg(x)))sin(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{xln^{2}{10}lg(x)ln{10}(lg(x))ln{10}(x)} + \frac{sin(lg(lg(x)))cos(cos(lg(lg(x))))*-sin(lg(lg(x)))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{xln^{2}{10}lg(x)ln{10}(lg(x))ln{10}(x)} + \frac{sin(lg(lg(x)))sin(cos(lg(lg(x))))*-sin(cos(cos(lg(lg(x)))))*-sin(cos(lg(lg(x))))*-sin(lg(lg(x)))cos(sin(cos(cos(lg(lg(x))))))}{xln^{2}{10}lg(x)ln{10}(lg(x))ln{10}(x)} + \frac{sin(lg(lg(x)))sin(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))*-sin(sin(cos(cos(lg(lg(x))))))cos(cos(cos(lg(lg(x)))))*-sin(cos(lg(lg(x))))*-sin(lg(lg(x)))}{xln^{2}{10}lg(x)ln{10}(lg(x))ln{10}(x)}\\=&\frac{-sin(lg(lg(x)))sin(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{2}ln^{2}{10}lg(x)} - \frac{sin(lg(lg(x)))sin(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{2}ln^{3}{10}lg^{2}(x)} + \frac{sin(cos(lg(lg(x))))cos(lg(lg(x)))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{2}ln^{4}{10}lg^{2}(x)} - \frac{sin^{2}(lg(lg(x)))cos(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{2}ln^{4}{10}lg^{2}(x)} - \frac{sin^{2}(lg(lg(x)))sin^{2}(cos(lg(lg(x))))sin(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{2}ln^{4}{10}lg^{2}(x)} - \frac{sin^{2}(lg(lg(x)))sin(sin(cos(cos(lg(lg(x))))))sin^{2}(cos(lg(lg(x))))cos^{2}(cos(cos(lg(lg(x)))))}{x^{2}ln^{4}{10}lg^{2}(x)}\\\\ &\color{blue}{函数的第 3 阶导数:} \\&\frac{d\left( \frac{-sin(lg(lg(x)))sin(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{2}ln^{2}{10}lg(x)} - \frac{sin(lg(lg(x)))sin(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{2}ln^{3}{10}lg^{2}(x)} + \frac{sin(cos(lg(lg(x))))cos(lg(lg(x)))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{2}ln^{4}{10}lg^{2}(x)} - \frac{sin^{2}(lg(lg(x)))cos(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{2}ln^{4}{10}lg^{2}(x)} - \frac{sin^{2}(lg(lg(x)))sin^{2}(cos(lg(lg(x))))sin(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{2}ln^{4}{10}lg^{2}(x)} - \frac{sin^{2}(lg(lg(x)))sin(sin(cos(cos(lg(lg(x))))))sin^{2}(cos(lg(lg(x))))cos^{2}(cos(cos(lg(lg(x)))))}{x^{2}ln^{4}{10}lg^{2}(x)}\right)}{dx}\\=&\frac{--2sin(lg(lg(x)))sin(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{3}ln^{2}{10}lg(x)} - \frac{-2*0sin(lg(lg(x)))sin(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{2}ln^{3}{10}lg(x)} - \frac{-sin(lg(lg(x)))sin(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{2}ln^{2}{10}lg^{2}(x)ln{10}(x)} - \frac{cos(lg(lg(x)))sin(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{2}ln^{2}{10}lg(x)ln{10}(lg(x))ln{10}(x)} - \frac{sin(lg(lg(x)))cos(cos(lg(lg(x))))*-sin(lg(lg(x)))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{2}ln^{2}{10}lg(x)ln{10}(lg(x))ln{10}(x)} - \frac{sin(lg(lg(x)))sin(cos(lg(lg(x))))*-sin(cos(cos(lg(lg(x)))))*-sin(cos(lg(lg(x))))*-sin(lg(lg(x)))cos(sin(cos(cos(lg(lg(x))))))}{x^{2}ln^{2}{10}lg(x)ln{10}(lg(x))ln{10}(x)} - \frac{sin(lg(lg(x)))sin(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))*-sin(sin(cos(cos(lg(lg(x))))))cos(cos(cos(lg(lg(x)))))*-sin(cos(lg(lg(x))))*-sin(lg(lg(x)))}{x^{2}ln^{2}{10}lg(x)ln{10}(lg(x))ln{10}(x)} - \frac{-2sin(lg(lg(x)))sin(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{3}ln^{3}{10}lg^{2}(x)} - \frac{-3*0sin(lg(lg(x)))sin(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{2}ln^{4}{10}lg^{2}(x)} - \frac{-2sin(lg(lg(x)))sin(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{2}ln^{3}{10}lg^{3}(x)ln{10}(x)} - \frac{cos(lg(lg(x)))sin(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{2}ln^{3}{10}lg^{2}(x)ln{10}(lg(x))ln{10}(x)} - \frac{sin(lg(lg(x)))cos(cos(lg(lg(x))))*-sin(lg(lg(x)))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{2}ln^{3}{10}lg^{2}(x)ln{10}(lg(x))ln{10}(x)} - \frac{sin(lg(lg(x)))sin(cos(lg(lg(x))))*-sin(cos(cos(lg(lg(x)))))*-sin(cos(lg(lg(x))))*-sin(lg(lg(x)))cos(sin(cos(cos(lg(lg(x))))))}{x^{2}ln^{3}{10}lg^{2}(x)ln{10}(lg(x))ln{10}(x)} - \frac{sin(lg(lg(x)))sin(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))*-sin(sin(cos(cos(lg(lg(x))))))cos(cos(cos(lg(lg(x)))))*-sin(cos(lg(lg(x))))*-sin(lg(lg(x)))}{x^{2}ln^{3}{10}lg^{2}(x)ln{10}(lg(x))ln{10}(x)} + \frac{-2sin(cos(lg(lg(x))))cos(lg(lg(x)))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{3}ln^{4}{10}lg^{2}(x)} + \frac{-4*0sin(cos(lg(lg(x))))cos(lg(lg(x)))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{2}ln^{5}{10}lg^{2}(x)} + \frac{-2sin(cos(lg(lg(x))))cos(lg(lg(x)))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{2}ln^{4}{10}lg^{3}(x)ln{10}(x)} + \frac{cos(cos(lg(lg(x))))*-sin(lg(lg(x)))cos(lg(lg(x)))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{2}ln^{4}{10}lg^{2}(x)ln{10}(lg(x))ln{10}(x)} + \frac{sin(cos(lg(lg(x))))*-sin(lg(lg(x)))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{2}ln^{4}{10}lg^{2}(x)ln{10}(lg(x))ln{10}(x)} + \frac{sin(cos(lg(lg(x))))cos(lg(lg(x)))*-sin(cos(cos(lg(lg(x)))))*-sin(cos(lg(lg(x))))*-sin(lg(lg(x)))cos(sin(cos(cos(lg(lg(x))))))}{x^{2}ln^{4}{10}lg^{2}(x)ln{10}(lg(x))ln{10}(x)} + \frac{sin(cos(lg(lg(x))))cos(lg(lg(x)))cos(cos(cos(lg(lg(x)))))*-sin(sin(cos(cos(lg(lg(x))))))cos(cos(cos(lg(lg(x)))))*-sin(cos(lg(lg(x))))*-sin(lg(lg(x)))}{x^{2}ln^{4}{10}lg^{2}(x)ln{10}(lg(x))ln{10}(x)} - \frac{-2sin^{2}(lg(lg(x)))cos(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{3}ln^{4}{10}lg^{2}(x)} - \frac{-4*0sin^{2}(lg(lg(x)))cos(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{2}ln^{5}{10}lg^{2}(x)} - \frac{-2sin^{2}(lg(lg(x)))cos(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{2}ln^{4}{10}lg^{3}(x)ln{10}(x)} - \frac{2sin(lg(lg(x)))cos(lg(lg(x)))cos(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{2}ln^{4}{10}lg^{2}(x)ln{10}(lg(x))ln{10}(x)} - \frac{sin^{2}(lg(lg(x)))*-sin(cos(lg(lg(x))))*-sin(lg(lg(x)))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{2}ln^{4}{10}lg^{2}(x)ln{10}(lg(x))ln{10}(x)} - \frac{sin^{2}(lg(lg(x)))cos(cos(lg(lg(x))))*-sin(cos(cos(lg(lg(x)))))*-sin(cos(lg(lg(x))))*-sin(lg(lg(x)))cos(sin(cos(cos(lg(lg(x))))))}{x^{2}ln^{4}{10}lg^{2}(x)ln{10}(lg(x))ln{10}(x)} - \frac{sin^{2}(lg(lg(x)))cos(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))*-sin(sin(cos(cos(lg(lg(x))))))cos(cos(cos(lg(lg(x)))))*-sin(cos(lg(lg(x))))*-sin(lg(lg(x)))}{x^{2}ln^{4}{10}lg^{2}(x)ln{10}(lg(x))ln{10}(x)} - \frac{-2sin^{2}(lg(lg(x)))sin^{2}(cos(lg(lg(x))))sin(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{3}ln^{4}{10}lg^{2}(x)} - \frac{-4*0sin^{2}(lg(lg(x)))sin^{2}(cos(lg(lg(x))))sin(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{2}ln^{5}{10}lg^{2}(x)} - \frac{-2sin^{2}(lg(lg(x)))sin^{2}(cos(lg(lg(x))))sin(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{2}ln^{4}{10}lg^{3}(x)ln{10}(x)} - \frac{2sin(lg(lg(x)))cos(lg(lg(x)))sin^{2}(cos(lg(lg(x))))sin(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{2}ln^{4}{10}lg^{2}(x)ln{10}(lg(x))ln{10}(x)} - \frac{sin^{2}(lg(lg(x)))*2sin(cos(lg(lg(x))))cos(cos(lg(lg(x))))*-sin(lg(lg(x)))sin(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{2}ln^{4}{10}lg^{2}(x)ln{10}(lg(x))ln{10}(x)} - \frac{sin^{2}(lg(lg(x)))sin^{2}(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))*-sin(cos(lg(lg(x))))*-sin(lg(lg(x)))cos(sin(cos(cos(lg(lg(x))))))}{x^{2}ln^{4}{10}lg^{2}(x)ln{10}(lg(x))ln{10}(x)} - \frac{sin^{2}(lg(lg(x)))sin^{2}(cos(lg(lg(x))))sin(cos(cos(lg(lg(x)))))*-sin(sin(cos(cos(lg(lg(x))))))cos(cos(cos(lg(lg(x)))))*-sin(cos(lg(lg(x))))*-sin(lg(lg(x)))}{x^{2}ln^{4}{10}lg^{2}(x)ln{10}(lg(x))ln{10}(x)} - \frac{-2sin^{2}(lg(lg(x)))sin(sin(cos(cos(lg(lg(x))))))sin^{2}(cos(lg(lg(x))))cos^{2}(cos(cos(lg(lg(x)))))}{x^{3}ln^{4}{10}lg^{2}(x)} - \frac{-4*0sin^{2}(lg(lg(x)))sin(sin(cos(cos(lg(lg(x))))))sin^{2}(cos(lg(lg(x))))cos^{2}(cos(cos(lg(lg(x)))))}{x^{2}ln^{5}{10}lg^{2}(x)} - \frac{-2sin^{2}(lg(lg(x)))sin(sin(cos(cos(lg(lg(x))))))sin^{2}(cos(lg(lg(x))))cos^{2}(cos(cos(lg(lg(x)))))}{x^{2}ln^{4}{10}lg^{3}(x)ln{10}(x)} - \frac{2sin(lg(lg(x)))cos(lg(lg(x)))sin(sin(cos(cos(lg(lg(x))))))sin^{2}(cos(lg(lg(x))))cos^{2}(cos(cos(lg(lg(x)))))}{x^{2}ln^{4}{10}lg^{2}(x)ln{10}(lg(x))ln{10}(x)} - \frac{sin^{2}(lg(lg(x)))cos(sin(cos(cos(lg(lg(x))))))cos(cos(cos(lg(lg(x)))))*-sin(cos(lg(lg(x))))*-sin(lg(lg(x)))sin^{2}(cos(lg(lg(x))))cos^{2}(cos(cos(lg(lg(x)))))}{x^{2}ln^{4}{10}lg^{2}(x)ln{10}(lg(x))ln{10}(x)} - \frac{sin^{2}(lg(lg(x)))sin(sin(cos(cos(lg(lg(x))))))*2sin(cos(lg(lg(x))))cos(cos(lg(lg(x))))*-sin(lg(lg(x)))cos^{2}(cos(cos(lg(lg(x)))))}{x^{2}ln^{4}{10}lg^{2}(x)ln{10}(lg(x))ln{10}(x)} - \frac{sin^{2}(lg(lg(x)))sin(sin(cos(cos(lg(lg(x))))))sin^{2}(cos(lg(lg(x))))*-2cos(cos(cos(lg(lg(x)))))sin(cos(cos(lg(lg(x)))))*-sin(cos(lg(lg(x))))*-sin(lg(lg(x)))}{x^{2}ln^{4}{10}lg^{2}(x)ln{10}(lg(x))ln{10}(x)}\\=&\frac{2sin(lg(lg(x)))sin(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{3}ln^{2}{10}lg(x)} + \frac{3sin(lg(lg(x)))sin(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{3}ln^{3}{10}lg^{2}(x)} - \frac{sin(lg(lg(x)))cos(cos(lg(lg(x))))cos(lg(lg(x)))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{3}ln^{6}{10}lg^{3}(x)} - \frac{2sin(lg(lg(x)))cos(lg(lg(x)))cos(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{3}ln^{6}{10}lg^{3}(x)} - \frac{sin(sin(cos(cos(lg(lg(x))))))sin^{2}(cos(lg(lg(x))))sin(lg(lg(x)))cos^{2}(cos(cos(lg(lg(x)))))cos(lg(lg(x)))}{x^{3}ln^{6}{10}lg^{3}(x)} + \frac{sin^{3}(lg(lg(x)))sin(cos(cos(lg(lg(x)))))sin(cos(lg(lg(x))))cos(cos(lg(lg(x))))cos(sin(cos(cos(lg(lg(x))))))}{x^{3}ln^{6}{10}lg^{3}(x)} + \frac{2sin(lg(lg(x)))sin(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{3}ln^{4}{10}lg^{3}(x)} - \frac{3sin(cos(lg(lg(x))))cos(lg(lg(x)))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{3}ln^{5}{10}lg^{3}(x)} + \frac{3sin^{2}(lg(lg(x)))cos(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{3}ln^{5}{10}lg^{3}(x)} + \frac{sin(sin(cos(cos(lg(lg(x))))))sin^{3}(lg(lg(x)))sin(cos(lg(lg(x))))cos^{2}(cos(cos(lg(lg(x)))))cos(cos(lg(lg(x))))}{x^{3}ln^{6}{10}lg^{3}(x)} - \frac{2sin(lg(lg(x)))sin^{2}(cos(lg(lg(x))))sin(cos(cos(lg(lg(x)))))cos(lg(lg(x)))cos(sin(cos(cos(lg(lg(x))))))}{x^{3}ln^{6}{10}lg^{3}(x)} - \frac{3sin(cos(lg(lg(x))))cos(lg(lg(x)))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{3}ln^{4}{10}lg^{2}(x)} - \frac{sin(lg(lg(x)))sin(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{3}ln^{6}{10}lg^{3}(x)} - \frac{sin^{3}(lg(lg(x)))sin^{3}(cos(lg(lg(x))))cos(sin(cos(cos(lg(lg(x))))))cos^{3}(cos(cos(lg(lg(x)))))}{x^{3}ln^{6}{10}lg^{3}(x)} + \frac{2sin^{3}(lg(lg(x)))sin(cos(lg(lg(x))))sin(cos(cos(lg(lg(x)))))cos(cos(lg(lg(x))))cos(sin(cos(cos(lg(lg(x))))))}{x^{3}ln^{6}{10}lg^{3}(x)} + \frac{3sin^{2}(lg(lg(x)))cos(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{3}ln^{4}{10}lg^{2}(x)} - \frac{sin^{3}(lg(lg(x)))sin(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{3}ln^{6}{10}lg^{3}(x)} - \frac{2sin(lg(lg(x)))sin(sin(cos(cos(lg(lg(x))))))sin^{2}(cos(lg(lg(x))))cos(lg(lg(x)))cos^{2}(cos(cos(lg(lg(x)))))}{x^{3}ln^{6}{10}lg^{3}(x)} - \frac{sin^{2}(cos(lg(lg(x))))sin(cos(cos(lg(lg(x)))))sin(lg(lg(x)))cos(lg(lg(x)))cos(sin(cos(cos(lg(lg(x))))))}{x^{3}ln^{6}{10}lg^{3}(x)} + \frac{2sin(sin(cos(cos(lg(lg(x))))))sin^{3}(lg(lg(x)))sin(cos(lg(lg(x))))cos(cos(lg(lg(x))))cos^{2}(cos(cos(lg(lg(x)))))}{x^{3}ln^{6}{10}lg^{3}(x)} + \frac{3sin^{2}(lg(lg(x)))sin^{2}(cos(lg(lg(x))))sin(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{3}ln^{4}{10}lg^{2}(x)} - \frac{sin^{3}(lg(lg(x)))sin^{3}(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{3}ln^{6}{10}lg^{3}(x)} + \frac{sin(sin(cos(cos(lg(lg(x))))))sin^{3}(cos(lg(lg(x))))sin^{3}(lg(lg(x)))sin(cos(cos(lg(lg(x)))))cos(cos(cos(lg(lg(x)))))}{x^{3}ln^{6}{10}lg^{3}(x)} + \frac{3sin^{2}(lg(lg(x)))sin(sin(cos(cos(lg(lg(x))))))sin^{2}(cos(lg(lg(x))))cos^{2}(cos(cos(lg(lg(x)))))}{x^{3}ln^{4}{10}lg^{2}(x)} + \frac{3sin^{2}(lg(lg(x)))sin^{2}(cos(lg(lg(x))))sin(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{3}ln^{5}{10}lg^{3}(x)} + \frac{3sin^{2}(lg(lg(x)))sin(sin(cos(cos(lg(lg(x))))))sin^{2}(cos(lg(lg(x))))cos^{2}(cos(cos(lg(lg(x)))))}{x^{3}ln^{5}{10}lg^{3}(x)} + \frac{2sin^{3}(lg(lg(x)))sin(cos(cos(lg(lg(x)))))sin(sin(cos(cos(lg(lg(x))))))sin^{3}(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))}{x^{3}ln^{6}{10}lg^{3}(x)}\\\\ &\color{blue}{函数的第 4 阶导数:} \\&\frac{d\left( \frac{2sin(lg(lg(x)))sin(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{3}ln^{2}{10}lg(x)} + \frac{3sin(lg(lg(x)))sin(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{3}ln^{3}{10}lg^{2}(x)} - \frac{sin(lg(lg(x)))cos(cos(lg(lg(x))))cos(lg(lg(x)))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{3}ln^{6}{10}lg^{3}(x)} - \frac{2sin(lg(lg(x)))cos(lg(lg(x)))cos(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{3}ln^{6}{10}lg^{3}(x)} - 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\frac{sin(sin(cos(cos(lg(lg(x))))))sin^{3}(lg(lg(x)))cos(cos(lg(lg(x))))*-sin(lg(lg(x)))cos^{2}(cos(cos(lg(lg(x)))))cos(cos(lg(lg(x))))}{x^{3}ln^{6}{10}lg^{3}(x)ln{10}(lg(x))ln{10}(x)} + \frac{sin(sin(cos(cos(lg(lg(x))))))sin^{3}(lg(lg(x)))sin(cos(lg(lg(x))))*-2cos(cos(cos(lg(lg(x)))))sin(cos(cos(lg(lg(x)))))*-sin(cos(lg(lg(x))))*-sin(lg(lg(x)))cos(cos(lg(lg(x))))}{x^{3}ln^{6}{10}lg^{3}(x)ln{10}(lg(x))ln{10}(x)} + \frac{sin(sin(cos(cos(lg(lg(x))))))sin^{3}(lg(lg(x)))sin(cos(lg(lg(x))))cos^{2}(cos(cos(lg(lg(x)))))*-sin(cos(lg(lg(x))))*-sin(lg(lg(x)))}{x^{3}ln^{6}{10}lg^{3}(x)ln{10}(lg(x))ln{10}(x)} - \frac{2*-3sin(lg(lg(x)))sin^{2}(cos(lg(lg(x))))sin(cos(cos(lg(lg(x)))))cos(lg(lg(x)))cos(sin(cos(cos(lg(lg(x))))))}{x^{4}ln^{6}{10}lg^{3}(x)} - \frac{2*-6*0sin(lg(lg(x)))sin^{2}(cos(lg(lg(x))))sin(cos(cos(lg(lg(x)))))cos(lg(lg(x)))cos(sin(cos(cos(lg(lg(x))))))}{x^{3}ln^{7}{10}lg^{3}(x)} - 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\frac{2sin(lg(lg(x)))sin^{2}(cos(lg(lg(x))))sin(cos(cos(lg(lg(x)))))cos(lg(lg(x)))*-sin(sin(cos(cos(lg(lg(x))))))cos(cos(cos(lg(lg(x)))))*-sin(cos(lg(lg(x))))*-sin(lg(lg(x)))}{x^{3}ln^{6}{10}lg^{3}(x)ln{10}(lg(x))ln{10}(x)} - \frac{3*-3sin(cos(lg(lg(x))))cos(lg(lg(x)))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{4}ln^{4}{10}lg^{2}(x)} - \frac{3*-4*0sin(cos(lg(lg(x))))cos(lg(lg(x)))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{3}ln^{5}{10}lg^{2}(x)} - \frac{3*-2sin(cos(lg(lg(x))))cos(lg(lg(x)))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{3}ln^{4}{10}lg^{3}(x)ln{10}(x)} - \frac{3cos(cos(lg(lg(x))))*-sin(lg(lg(x)))cos(lg(lg(x)))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{3}ln^{4}{10}lg^{2}(x)ln{10}(lg(x))ln{10}(x)} - \frac{3sin(cos(lg(lg(x))))*-sin(lg(lg(x)))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{3}ln^{4}{10}lg^{2}(x)ln{10}(lg(x))ln{10}(x)} - 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\frac{3sin^{2}(lg(lg(x)))cos(lg(lg(x)))sin(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{3}ln^{6}{10}lg^{3}(x)ln{10}(lg(x))ln{10}(x)} - \frac{sin^{3}(lg(lg(x)))cos(cos(lg(lg(x))))*-sin(lg(lg(x)))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{3}ln^{6}{10}lg^{3}(x)ln{10}(lg(x))ln{10}(x)} - \frac{sin^{3}(lg(lg(x)))sin(cos(lg(lg(x))))*-sin(cos(cos(lg(lg(x)))))*-sin(cos(lg(lg(x))))*-sin(lg(lg(x)))cos(sin(cos(cos(lg(lg(x))))))}{x^{3}ln^{6}{10}lg^{3}(x)ln{10}(lg(x))ln{10}(x)} - \frac{sin^{3}(lg(lg(x)))sin(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))*-sin(sin(cos(cos(lg(lg(x))))))cos(cos(cos(lg(lg(x)))))*-sin(cos(lg(lg(x))))*-sin(lg(lg(x)))}{x^{3}ln^{6}{10}lg^{3}(x)ln{10}(lg(x))ln{10}(x)} - \frac{2*-3sin(lg(lg(x)))sin(sin(cos(cos(lg(lg(x))))))sin^{2}(cos(lg(lg(x))))cos(lg(lg(x)))cos^{2}(cos(cos(lg(lg(x)))))}{x^{4}ln^{6}{10}lg^{3}(x)} - \frac{2*-6*0sin(lg(lg(x)))sin(sin(cos(cos(lg(lg(x))))))sin^{2}(cos(lg(lg(x))))cos(lg(lg(x)))cos^{2}(cos(cos(lg(lg(x)))))}{x^{3}ln^{7}{10}lg^{3}(x)} - \frac{2*-3sin(lg(lg(x)))sin(sin(cos(cos(lg(lg(x))))))sin^{2}(cos(lg(lg(x))))cos(lg(lg(x)))cos^{2}(cos(cos(lg(lg(x)))))}{x^{3}ln^{6}{10}lg^{4}(x)ln{10}(x)} - \frac{2cos(lg(lg(x)))sin(sin(cos(cos(lg(lg(x))))))sin^{2}(cos(lg(lg(x))))cos(lg(lg(x)))cos^{2}(cos(cos(lg(lg(x)))))}{x^{3}ln^{6}{10}lg^{3}(x)ln{10}(lg(x))ln{10}(x)} - \frac{2sin(lg(lg(x)))cos(sin(cos(cos(lg(lg(x))))))cos(cos(cos(lg(lg(x)))))*-sin(cos(lg(lg(x))))*-sin(lg(lg(x)))sin^{2}(cos(lg(lg(x))))cos(lg(lg(x)))cos^{2}(cos(cos(lg(lg(x)))))}{x^{3}ln^{6}{10}lg^{3}(x)ln{10}(lg(x))ln{10}(x)} - \frac{2sin(lg(lg(x)))sin(sin(cos(cos(lg(lg(x))))))*2sin(cos(lg(lg(x))))cos(cos(lg(lg(x))))*-sin(lg(lg(x)))cos(lg(lg(x)))cos^{2}(cos(cos(lg(lg(x)))))}{x^{3}ln^{6}{10}lg^{3}(x)ln{10}(lg(x))ln{10}(x)} - \frac{2sin(lg(lg(x)))sin(sin(cos(cos(lg(lg(x))))))sin^{2}(cos(lg(lg(x))))*-sin(lg(lg(x)))cos^{2}(cos(cos(lg(lg(x)))))}{x^{3}ln^{6}{10}lg^{3}(x)ln{10}(lg(x))ln{10}(x)} - \frac{2sin(lg(lg(x)))sin(sin(cos(cos(lg(lg(x))))))sin^{2}(cos(lg(lg(x))))cos(lg(lg(x)))*-2cos(cos(cos(lg(lg(x)))))sin(cos(cos(lg(lg(x)))))*-sin(cos(lg(lg(x))))*-sin(lg(lg(x)))}{x^{3}ln^{6}{10}lg^{3}(x)ln{10}(lg(x))ln{10}(x)} - \frac{-3sin^{2}(cos(lg(lg(x))))sin(cos(cos(lg(lg(x)))))sin(lg(lg(x)))cos(lg(lg(x)))cos(sin(cos(cos(lg(lg(x))))))}{x^{4}ln^{6}{10}lg^{3}(x)} - \frac{-6*0sin^{2}(cos(lg(lg(x))))sin(cos(cos(lg(lg(x)))))sin(lg(lg(x)))cos(lg(lg(x)))cos(sin(cos(cos(lg(lg(x))))))}{x^{3}ln^{7}{10}lg^{3}(x)} - \frac{-3sin^{2}(cos(lg(lg(x))))sin(cos(cos(lg(lg(x)))))sin(lg(lg(x)))cos(lg(lg(x)))cos(sin(cos(cos(lg(lg(x))))))}{x^{3}ln^{6}{10}lg^{4}(x)ln{10}(x)} - \frac{2sin(cos(lg(lg(x))))cos(cos(lg(lg(x))))*-sin(lg(lg(x)))sin(cos(cos(lg(lg(x)))))sin(lg(lg(x)))cos(lg(lg(x)))cos(sin(cos(cos(lg(lg(x))))))}{x^{3}ln^{6}{10}lg^{3}(x)ln{10}(lg(x))ln{10}(x)} - \frac{sin^{2}(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))*-sin(cos(lg(lg(x))))*-sin(lg(lg(x)))sin(lg(lg(x)))cos(lg(lg(x)))cos(sin(cos(cos(lg(lg(x))))))}{x^{3}ln^{6}{10}lg^{3}(x)ln{10}(lg(x))ln{10}(x)} - \frac{sin^{2}(cos(lg(lg(x))))sin(cos(cos(lg(lg(x)))))cos(lg(lg(x)))cos(lg(lg(x)))cos(sin(cos(cos(lg(lg(x))))))}{x^{3}ln^{6}{10}lg^{3}(x)ln{10}(lg(x))ln{10}(x)} - \frac{sin^{2}(cos(lg(lg(x))))sin(cos(cos(lg(lg(x)))))sin(lg(lg(x)))*-sin(lg(lg(x)))cos(sin(cos(cos(lg(lg(x))))))}{x^{3}ln^{6}{10}lg^{3}(x)ln{10}(lg(x))ln{10}(x)} - \frac{sin^{2}(cos(lg(lg(x))))sin(cos(cos(lg(lg(x)))))sin(lg(lg(x)))cos(lg(lg(x)))*-sin(sin(cos(cos(lg(lg(x))))))cos(cos(cos(lg(lg(x)))))*-sin(cos(lg(lg(x))))*-sin(lg(lg(x)))}{x^{3}ln^{6}{10}lg^{3}(x)ln{10}(lg(x))ln{10}(x)} + \frac{2*-3sin(sin(cos(cos(lg(lg(x))))))sin^{3}(lg(lg(x)))sin(cos(lg(lg(x))))cos(cos(lg(lg(x))))cos^{2}(cos(cos(lg(lg(x)))))}{x^{4}ln^{6}{10}lg^{3}(x)} + \frac{2*-6*0sin(sin(cos(cos(lg(lg(x))))))sin^{3}(lg(lg(x)))sin(cos(lg(lg(x))))cos(cos(lg(lg(x))))cos^{2}(cos(cos(lg(lg(x)))))}{x^{3}ln^{7}{10}lg^{3}(x)} + \frac{2*-3sin(sin(cos(cos(lg(lg(x))))))sin^{3}(lg(lg(x)))sin(cos(lg(lg(x))))cos(cos(lg(lg(x))))cos^{2}(cos(cos(lg(lg(x)))))}{x^{3}ln^{6}{10}lg^{4}(x)ln{10}(x)} + \frac{2cos(sin(cos(cos(lg(lg(x))))))cos(cos(cos(lg(lg(x)))))*-sin(cos(lg(lg(x))))*-sin(lg(lg(x)))sin^{3}(lg(lg(x)))sin(cos(lg(lg(x))))cos(cos(lg(lg(x))))cos^{2}(cos(cos(lg(lg(x)))))}{x^{3}ln^{6}{10}lg^{3}(x)ln{10}(lg(x))ln{10}(x)} + \frac{2sin(sin(cos(cos(lg(lg(x))))))*3sin^{2}(lg(lg(x)))cos(lg(lg(x)))sin(cos(lg(lg(x))))cos(cos(lg(lg(x))))cos^{2}(cos(cos(lg(lg(x)))))}{x^{3}ln^{6}{10}lg^{3}(x)ln{10}(lg(x))ln{10}(x)} + \frac{2sin(sin(cos(cos(lg(lg(x))))))sin^{3}(lg(lg(x)))cos(cos(lg(lg(x))))*-sin(lg(lg(x)))cos(cos(lg(lg(x))))cos^{2}(cos(cos(lg(lg(x)))))}{x^{3}ln^{6}{10}lg^{3}(x)ln{10}(lg(x))ln{10}(x)} + \frac{2sin(sin(cos(cos(lg(lg(x))))))sin^{3}(lg(lg(x)))sin(cos(lg(lg(x))))*-sin(cos(lg(lg(x))))*-sin(lg(lg(x)))cos^{2}(cos(cos(lg(lg(x)))))}{x^{3}ln^{6}{10}lg^{3}(x)ln{10}(lg(x))ln{10}(x)} + \frac{2sin(sin(cos(cos(lg(lg(x))))))sin^{3}(lg(lg(x)))sin(cos(lg(lg(x))))cos(cos(lg(lg(x))))*-2cos(cos(cos(lg(lg(x)))))sin(cos(cos(lg(lg(x)))))*-sin(cos(lg(lg(x))))*-sin(lg(lg(x)))}{x^{3}ln^{6}{10}lg^{3}(x)ln{10}(lg(x))ln{10}(x)} + \frac{3*-3sin^{2}(lg(lg(x)))sin^{2}(cos(lg(lg(x))))sin(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{4}ln^{4}{10}lg^{2}(x)} + \frac{3*-4*0sin^{2}(lg(lg(x)))sin^{2}(cos(lg(lg(x))))sin(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{3}ln^{5}{10}lg^{2}(x)} + \frac{3*-2sin^{2}(lg(lg(x)))sin^{2}(cos(lg(lg(x))))sin(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{3}ln^{4}{10}lg^{3}(x)ln{10}(x)} + \frac{3*2sin(lg(lg(x)))cos(lg(lg(x)))sin^{2}(cos(lg(lg(x))))sin(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{3}ln^{4}{10}lg^{2}(x)ln{10}(lg(x))ln{10}(x)} + \frac{3sin^{2}(lg(lg(x)))*2sin(cos(lg(lg(x))))cos(cos(lg(lg(x))))*-sin(lg(lg(x)))sin(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{3}ln^{4}{10}lg^{2}(x)ln{10}(lg(x))ln{10}(x)} + \frac{3sin^{2}(lg(lg(x)))sin^{2}(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))*-sin(cos(lg(lg(x))))*-sin(lg(lg(x)))cos(sin(cos(cos(lg(lg(x))))))}{x^{3}ln^{4}{10}lg^{2}(x)ln{10}(lg(x))ln{10}(x)} + \frac{3sin^{2}(lg(lg(x)))sin^{2}(cos(lg(lg(x))))sin(cos(cos(lg(lg(x)))))*-sin(sin(cos(cos(lg(lg(x))))))cos(cos(cos(lg(lg(x)))))*-sin(cos(lg(lg(x))))*-sin(lg(lg(x)))}{x^{3}ln^{4}{10}lg^{2}(x)ln{10}(lg(x))ln{10}(x)} - \frac{-3sin^{3}(lg(lg(x)))sin^{3}(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{4}ln^{6}{10}lg^{3}(x)} - \frac{-6*0sin^{3}(lg(lg(x)))sin^{3}(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{3}ln^{7}{10}lg^{3}(x)} - \frac{-3sin^{3}(lg(lg(x)))sin^{3}(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{3}ln^{6}{10}lg^{4}(x)ln{10}(x)} - \frac{3sin^{2}(lg(lg(x)))cos(lg(lg(x)))sin^{3}(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{3}ln^{6}{10}lg^{3}(x)ln{10}(lg(x))ln{10}(x)} - \frac{sin^{3}(lg(lg(x)))*3sin^{2}(cos(lg(lg(x))))cos(cos(lg(lg(x))))*-sin(lg(lg(x)))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{3}ln^{6}{10}lg^{3}(x)ln{10}(lg(x))ln{10}(x)} - \frac{sin^{3}(lg(lg(x)))sin^{3}(cos(lg(lg(x))))*-sin(cos(cos(lg(lg(x)))))*-sin(cos(lg(lg(x))))*-sin(lg(lg(x)))cos(sin(cos(cos(lg(lg(x))))))}{x^{3}ln^{6}{10}lg^{3}(x)ln{10}(lg(x))ln{10}(x)} - \frac{sin^{3}(lg(lg(x)))sin^{3}(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))*-sin(sin(cos(cos(lg(lg(x))))))cos(cos(cos(lg(lg(x)))))*-sin(cos(lg(lg(x))))*-sin(lg(lg(x)))}{x^{3}ln^{6}{10}lg^{3}(x)ln{10}(lg(x))ln{10}(x)} + \frac{-3sin(sin(cos(cos(lg(lg(x))))))sin^{3}(cos(lg(lg(x))))sin^{3}(lg(lg(x)))sin(cos(cos(lg(lg(x)))))cos(cos(cos(lg(lg(x)))))}{x^{4}ln^{6}{10}lg^{3}(x)} + \frac{-6*0sin(sin(cos(cos(lg(lg(x))))))sin^{3}(cos(lg(lg(x))))sin^{3}(lg(lg(x)))sin(cos(cos(lg(lg(x)))))cos(cos(cos(lg(lg(x)))))}{x^{3}ln^{7}{10}lg^{3}(x)} + \frac{-3sin(sin(cos(cos(lg(lg(x))))))sin^{3}(cos(lg(lg(x))))sin^{3}(lg(lg(x)))sin(cos(cos(lg(lg(x)))))cos(cos(cos(lg(lg(x)))))}{x^{3}ln^{6}{10}lg^{4}(x)ln{10}(x)} + \frac{cos(sin(cos(cos(lg(lg(x))))))cos(cos(cos(lg(lg(x)))))*-sin(cos(lg(lg(x))))*-sin(lg(lg(x)))sin^{3}(cos(lg(lg(x))))sin^{3}(lg(lg(x)))sin(cos(cos(lg(lg(x)))))cos(cos(cos(lg(lg(x)))))}{x^{3}ln^{6}{10}lg^{3}(x)ln{10}(lg(x))ln{10}(x)} + \frac{sin(sin(cos(cos(lg(lg(x))))))*3sin^{2}(cos(lg(lg(x))))cos(cos(lg(lg(x))))*-sin(lg(lg(x)))sin^{3}(lg(lg(x)))sin(cos(cos(lg(lg(x)))))cos(cos(cos(lg(lg(x)))))}{x^{3}ln^{6}{10}lg^{3}(x)ln{10}(lg(x))ln{10}(x)} + \frac{sin(sin(cos(cos(lg(lg(x))))))sin^{3}(cos(lg(lg(x))))*3sin^{2}(lg(lg(x)))cos(lg(lg(x)))sin(cos(cos(lg(lg(x)))))cos(cos(cos(lg(lg(x)))))}{x^{3}ln^{6}{10}lg^{3}(x)ln{10}(lg(x))ln{10}(x)} + \frac{sin(sin(cos(cos(lg(lg(x))))))sin^{3}(cos(lg(lg(x))))sin^{3}(lg(lg(x)))cos(cos(cos(lg(lg(x)))))*-sin(cos(lg(lg(x))))*-sin(lg(lg(x)))cos(cos(cos(lg(lg(x)))))}{x^{3}ln^{6}{10}lg^{3}(x)ln{10}(lg(x))ln{10}(x)} + \frac{sin(sin(cos(cos(lg(lg(x))))))sin^{3}(cos(lg(lg(x))))sin^{3}(lg(lg(x)))sin(cos(cos(lg(lg(x)))))*-sin(cos(cos(lg(lg(x)))))*-sin(cos(lg(lg(x))))*-sin(lg(lg(x)))}{x^{3}ln^{6}{10}lg^{3}(x)ln{10}(lg(x))ln{10}(x)} + \frac{3*-3sin^{2}(lg(lg(x)))sin(sin(cos(cos(lg(lg(x))))))sin^{2}(cos(lg(lg(x))))cos^{2}(cos(cos(lg(lg(x)))))}{x^{4}ln^{4}{10}lg^{2}(x)} + \frac{3*-4*0sin^{2}(lg(lg(x)))sin(sin(cos(cos(lg(lg(x))))))sin^{2}(cos(lg(lg(x))))cos^{2}(cos(cos(lg(lg(x)))))}{x^{3}ln^{5}{10}lg^{2}(x)} + \frac{3*-2sin^{2}(lg(lg(x)))sin(sin(cos(cos(lg(lg(x))))))sin^{2}(cos(lg(lg(x))))cos^{2}(cos(cos(lg(lg(x)))))}{x^{3}ln^{4}{10}lg^{3}(x)ln{10}(x)} + \frac{3*2sin(lg(lg(x)))cos(lg(lg(x)))sin(sin(cos(cos(lg(lg(x))))))sin^{2}(cos(lg(lg(x))))cos^{2}(cos(cos(lg(lg(x)))))}{x^{3}ln^{4}{10}lg^{2}(x)ln{10}(lg(x))ln{10}(x)} + \frac{3sin^{2}(lg(lg(x)))cos(sin(cos(cos(lg(lg(x))))))cos(cos(cos(lg(lg(x)))))*-sin(cos(lg(lg(x))))*-sin(lg(lg(x)))sin^{2}(cos(lg(lg(x))))cos^{2}(cos(cos(lg(lg(x)))))}{x^{3}ln^{4}{10}lg^{2}(x)ln{10}(lg(x))ln{10}(x)} + \frac{3sin^{2}(lg(lg(x)))sin(sin(cos(cos(lg(lg(x))))))*2sin(cos(lg(lg(x))))cos(cos(lg(lg(x))))*-sin(lg(lg(x)))cos^{2}(cos(cos(lg(lg(x)))))}{x^{3}ln^{4}{10}lg^{2}(x)ln{10}(lg(x))ln{10}(x)} + \frac{3sin^{2}(lg(lg(x)))sin(sin(cos(cos(lg(lg(x))))))sin^{2}(cos(lg(lg(x))))*-2cos(cos(cos(lg(lg(x)))))sin(cos(cos(lg(lg(x)))))*-sin(cos(lg(lg(x))))*-sin(lg(lg(x)))}{x^{3}ln^{4}{10}lg^{2}(x)ln{10}(lg(x))ln{10}(x)} + \frac{3*-3sin^{2}(lg(lg(x)))sin^{2}(cos(lg(lg(x))))sin(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{4}ln^{5}{10}lg^{3}(x)} + \frac{3*-5*0sin^{2}(lg(lg(x)))sin^{2}(cos(lg(lg(x))))sin(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{3}ln^{6}{10}lg^{3}(x)} + \frac{3*-3sin^{2}(lg(lg(x)))sin^{2}(cos(lg(lg(x))))sin(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{3}ln^{5}{10}lg^{4}(x)ln{10}(x)} + \frac{3*2sin(lg(lg(x)))cos(lg(lg(x)))sin^{2}(cos(lg(lg(x))))sin(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{3}ln^{5}{10}lg^{3}(x)ln{10}(lg(x))ln{10}(x)} + \frac{3sin^{2}(lg(lg(x)))*2sin(cos(lg(lg(x))))cos(cos(lg(lg(x))))*-sin(lg(lg(x)))sin(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{3}ln^{5}{10}lg^{3}(x)ln{10}(lg(x))ln{10}(x)} + \frac{3sin^{2}(lg(lg(x)))sin^{2}(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))*-sin(cos(lg(lg(x))))*-sin(lg(lg(x)))cos(sin(cos(cos(lg(lg(x))))))}{x^{3}ln^{5}{10}lg^{3}(x)ln{10}(lg(x))ln{10}(x)} + \frac{3sin^{2}(lg(lg(x)))sin^{2}(cos(lg(lg(x))))sin(cos(cos(lg(lg(x)))))*-sin(sin(cos(cos(lg(lg(x))))))cos(cos(cos(lg(lg(x)))))*-sin(cos(lg(lg(x))))*-sin(lg(lg(x)))}{x^{3}ln^{5}{10}lg^{3}(x)ln{10}(lg(x))ln{10}(x)} + \frac{3*-3sin^{2}(lg(lg(x)))sin(sin(cos(cos(lg(lg(x))))))sin^{2}(cos(lg(lg(x))))cos^{2}(cos(cos(lg(lg(x)))))}{x^{4}ln^{5}{10}lg^{3}(x)} + \frac{3*-5*0sin^{2}(lg(lg(x)))sin(sin(cos(cos(lg(lg(x))))))sin^{2}(cos(lg(lg(x))))cos^{2}(cos(cos(lg(lg(x)))))}{x^{3}ln^{6}{10}lg^{3}(x)} + \frac{3*-3sin^{2}(lg(lg(x)))sin(sin(cos(cos(lg(lg(x))))))sin^{2}(cos(lg(lg(x))))cos^{2}(cos(cos(lg(lg(x)))))}{x^{3}ln^{5}{10}lg^{4}(x)ln{10}(x)} + \frac{3*2sin(lg(lg(x)))cos(lg(lg(x)))sin(sin(cos(cos(lg(lg(x))))))sin^{2}(cos(lg(lg(x))))cos^{2}(cos(cos(lg(lg(x)))))}{x^{3}ln^{5}{10}lg^{3}(x)ln{10}(lg(x))ln{10}(x)} + \frac{3sin^{2}(lg(lg(x)))cos(sin(cos(cos(lg(lg(x))))))cos(cos(cos(lg(lg(x)))))*-sin(cos(lg(lg(x))))*-sin(lg(lg(x)))sin^{2}(cos(lg(lg(x))))cos^{2}(cos(cos(lg(lg(x)))))}{x^{3}ln^{5}{10}lg^{3}(x)ln{10}(lg(x))ln{10}(x)} + \frac{3sin^{2}(lg(lg(x)))sin(sin(cos(cos(lg(lg(x))))))*2sin(cos(lg(lg(x))))cos(cos(lg(lg(x))))*-sin(lg(lg(x)))cos^{2}(cos(cos(lg(lg(x)))))}{x^{3}ln^{5}{10}lg^{3}(x)ln{10}(lg(x))ln{10}(x)} + \frac{3sin^{2}(lg(lg(x)))sin(sin(cos(cos(lg(lg(x))))))sin^{2}(cos(lg(lg(x))))*-2cos(cos(cos(lg(lg(x)))))sin(cos(cos(lg(lg(x)))))*-sin(cos(lg(lg(x))))*-sin(lg(lg(x)))}{x^{3}ln^{5}{10}lg^{3}(x)ln{10}(lg(x))ln{10}(x)} + \frac{2*-3sin^{3}(lg(lg(x)))sin(cos(cos(lg(lg(x)))))sin(sin(cos(cos(lg(lg(x))))))sin^{3}(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))}{x^{4}ln^{6}{10}lg^{3}(x)} + \frac{2*-6*0sin^{3}(lg(lg(x)))sin(cos(cos(lg(lg(x)))))sin(sin(cos(cos(lg(lg(x))))))sin^{3}(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))}{x^{3}ln^{7}{10}lg^{3}(x)} + \frac{2*-3sin^{3}(lg(lg(x)))sin(cos(cos(lg(lg(x)))))sin(sin(cos(cos(lg(lg(x))))))sin^{3}(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))}{x^{3}ln^{6}{10}lg^{4}(x)ln{10}(x)} + \frac{2*3sin^{2}(lg(lg(x)))cos(lg(lg(x)))sin(cos(cos(lg(lg(x)))))sin(sin(cos(cos(lg(lg(x))))))sin^{3}(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))}{x^{3}ln^{6}{10}lg^{3}(x)ln{10}(lg(x))ln{10}(x)} + \frac{2sin^{3}(lg(lg(x)))cos(cos(cos(lg(lg(x)))))*-sin(cos(lg(lg(x))))*-sin(lg(lg(x)))sin(sin(cos(cos(lg(lg(x))))))sin^{3}(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))}{x^{3}ln^{6}{10}lg^{3}(x)ln{10}(lg(x))ln{10}(x)} + \frac{2sin^{3}(lg(lg(x)))sin(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))cos(cos(cos(lg(lg(x)))))*-sin(cos(lg(lg(x))))*-sin(lg(lg(x)))sin^{3}(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))}{x^{3}ln^{6}{10}lg^{3}(x)ln{10}(lg(x))ln{10}(x)} + \frac{2sin^{3}(lg(lg(x)))sin(cos(cos(lg(lg(x)))))sin(sin(cos(cos(lg(lg(x))))))*3sin^{2}(cos(lg(lg(x))))cos(cos(lg(lg(x))))*-sin(lg(lg(x)))cos(cos(cos(lg(lg(x)))))}{x^{3}ln^{6}{10}lg^{3}(x)ln{10}(lg(x))ln{10}(x)} + \frac{2sin^{3}(lg(lg(x)))sin(cos(cos(lg(lg(x)))))sin(sin(cos(cos(lg(lg(x))))))sin^{3}(cos(lg(lg(x))))*-sin(cos(cos(lg(lg(x)))))*-sin(cos(lg(lg(x))))*-sin(lg(lg(x)))}{x^{3}ln^{6}{10}lg^{3}(x)ln{10}(lg(x))ln{10}(x)}\\=& - \frac{6sin^{2}(lg(lg(x)))sin(cos(lg(lg(x))))cos(lg(lg(x)))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{4}ln^{8}{10}lg^{4}(x)} - \frac{sin^{2}(lg(lg(x)))sin^{3}(cos(lg(lg(x))))cos^{3}(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))cos(lg(lg(x)))}{x^{4}ln^{8}{10}lg^{4}(x)} + \frac{6sin(lg(lg(x)))cos(cos(lg(lg(x))))cos(lg(lg(x)))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{4}ln^{6}{10}lg^{3}(x)} + \frac{6sin(lg(lg(x)))cos(cos(lg(lg(x))))cos(lg(lg(x)))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{4}ln^{7}{10}lg^{4}(x)} + \frac{sin(sin(cos(cos(lg(lg(x))))))sin^{2}(lg(lg(x)))sin(cos(lg(lg(x))))cos^{2}(cos(cos(lg(lg(x)))))cos(cos(lg(lg(x))))cos(lg(lg(x)))}{x^{4}ln^{8}{10}lg^{4}(x)} + \frac{2sin(sin(cos(cos(lg(lg(x))))))sin^{2}(lg(lg(x)))sin(cos(lg(lg(x))))cos^{2}(cos(cos(lg(lg(x)))))cos(lg(lg(x)))cos(cos(lg(lg(x))))}{x^{4}ln^{8}{10}lg^{4}(x)} + \frac{3sin^{4}(lg(lg(x)))sin^{2}(cos(lg(lg(x))))cos^{3}(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))cos(cos(lg(lg(x))))}{x^{4}ln^{8}{10}lg^{4}(x)} + \frac{12sin(lg(lg(x)))cos(lg(lg(x)))cos(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{4}ln^{6}{10}lg^{3}(x)} + \frac{12sin(lg(lg(x)))cos(lg(lg(x)))cos(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{4}ln^{7}{10}lg^{4}(x)} + \frac{2sin(sin(cos(cos(lg(lg(x))))))sin(cos(lg(lg(x))))sin^{2}(lg(lg(x)))cos(cos(lg(lg(x))))cos^{2}(cos(cos(lg(lg(x)))))cos(lg(lg(x)))}{x^{4}ln^{8}{10}lg^{4}(x)} + \frac{4sin^{2}(lg(lg(x)))sin(cos(cos(lg(lg(x)))))sin(cos(lg(lg(x))))cos(lg(lg(x)))cos(cos(lg(lg(x))))cos(sin(cos(cos(lg(lg(x))))))}{x^{4}ln^{8}{10}lg^{4}(x)} + \frac{11sin(cos(lg(lg(x))))cos(lg(lg(x)))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{4}ln^{4}{10}lg^{2}(x)} - \frac{11sin^{2}(lg(lg(x)))cos(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{4}ln^{4}{10}lg^{2}(x)} - \frac{3cos^{2}(lg(lg(x)))cos(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{4}ln^{8}{10}lg^{4}(x)} - \frac{2sin^{2}(lg(lg(x)))sin^{3}(cos(lg(lg(x))))cos(sin(cos(cos(lg(lg(x))))))cos^{3}(cos(cos(lg(lg(x)))))cos(lg(lg(x)))}{x^{4}ln^{8}{10}lg^{4}(x)} + \frac{4sin^{2}(lg(lg(x)))cos(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{4}ln^{8}{10}lg^{4}(x)} + \frac{3sin^{4}(lg(lg(x)))sin^{2}(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))cos(cos(lg(lg(x))))cos(sin(cos(cos(lg(lg(x))))))}{x^{4}ln^{8}{10}lg^{4}(x)} + \frac{2sin^{2}(lg(lg(x)))sin(cos(cos(lg(lg(x)))))sin(cos(lg(lg(x))))cos(cos(lg(lg(x))))cos(lg(lg(x)))cos(sin(cos(cos(lg(lg(x))))))}{x^{4}ln^{8}{10}lg^{4}(x)} + \frac{18sin(cos(lg(lg(x))))cos(lg(lg(x)))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{4}ln^{5}{10}lg^{3}(x)} - \frac{18sin^{2}(lg(lg(x)))cos(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{4}ln^{5}{10}lg^{3}(x)} - \frac{3sin^{2}(lg(lg(x)))sin^{3}(cos(lg(lg(x))))cos(lg(lg(x)))cos(sin(cos(cos(lg(lg(x))))))cos^{3}(cos(cos(lg(lg(x)))))}{x^{4}ln^{8}{10}lg^{4}(x)} + \frac{3sin^{2}(lg(lg(x)))sin(sin(cos(cos(lg(lg(x))))))sin(cos(lg(lg(x))))cos(lg(lg(x)))cos^{2}(cos(cos(lg(lg(x)))))cos(cos(lg(lg(x))))}{x^{4}ln^{8}{10}lg^{4}(x)} + \frac{6sin^{2}(lg(lg(x)))sin(cos(lg(lg(x))))sin(cos(cos(lg(lg(x)))))cos(cos(lg(lg(x))))cos(lg(lg(x)))cos(sin(cos(cos(lg(lg(x))))))}{x^{4}ln^{8}{10}lg^{4}(x)} + \frac{6sin^{2}(lg(lg(x)))sin(cos(lg(lg(x))))sin(cos(cos(lg(lg(x)))))cos(lg(lg(x)))cos(cos(lg(lg(x))))cos(sin(cos(cos(lg(lg(x))))))}{x^{4}ln^{8}{10}lg^{4}(x)} + \frac{3sin^{4}(lg(lg(x)))sin^{2}(cos(lg(lg(x))))cos(cos(lg(lg(x))))cos(sin(cos(cos(lg(lg(x))))))cos^{3}(cos(cos(lg(lg(x)))))}{x^{4}ln^{8}{10}lg^{4}(x)} + \frac{4sin(sin(cos(cos(lg(lg(x))))))sin^{2}(lg(lg(x)))sin(cos(lg(lg(x))))cos(cos(lg(lg(x))))cos(lg(lg(x)))cos^{2}(cos(cos(lg(lg(x)))))}{x^{4}ln^{8}{10}lg^{4}(x)} - \frac{2sin^{2}(lg(lg(x)))sin^{3}(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))cos(lg(lg(x)))cos(sin(cos(cos(lg(lg(x))))))}{x^{4}ln^{8}{10}lg^{4}(x)} + \frac{3sin(sin(cos(cos(lg(lg(x))))))sin(cos(cos(lg(lg(x)))))sin^{2}(lg(lg(x)))sin^{3}(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))cos(lg(lg(x)))}{x^{4}ln^{8}{10}lg^{4}(x)} + \frac{3sin^{3}(cos(lg(lg(x))))sin(sin(cos(cos(lg(lg(x))))))sin^{2}(lg(lg(x)))sin(cos(cos(lg(lg(x)))))cos(lg(lg(x)))cos(cos(cos(lg(lg(x)))))}{x^{4}ln^{8}{10}lg^{4}(x)} + \frac{6sin^{2}(lg(lg(x)))sin(sin(cos(cos(lg(lg(x))))))sin(cos(lg(lg(x))))cos(lg(lg(x)))cos(cos(lg(lg(x))))cos^{2}(cos(cos(lg(lg(x)))))}{x^{4}ln^{8}{10}lg^{4}(x)} - \frac{6sin(sin(cos(cos(lg(lg(x))))))sin^{3}(lg(lg(x)))sin(cos(lg(lg(x))))cos^{2}(cos(cos(lg(lg(x)))))cos(cos(lg(lg(x))))}{x^{4}ln^{7}{10}lg^{4}(x)} - \frac{6sin(sin(cos(cos(lg(lg(x))))))sin^{3}(lg(lg(x)))sin(cos(lg(lg(x))))cos^{2}(cos(cos(lg(lg(x)))))cos(cos(lg(lg(x))))}{x^{4}ln^{6}{10}lg^{3}(x)} - \frac{3sin^{2}(lg(lg(x)))sin^{3}(cos(lg(lg(x))))cos(lg(lg(x)))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{4}ln^{8}{10}lg^{4}(x)} + \frac{3sin^{4}(lg(lg(x)))sin^{2}(cos(lg(lg(x))))cos(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{4}ln^{8}{10}lg^{4}(x)} - \frac{3sin(sin(cos(cos(lg(lg(x))))))sin^{2}(cos(lg(lg(x))))sin^{4}(lg(lg(x)))sin(cos(cos(lg(lg(x)))))cos(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))}{x^{4}ln^{8}{10}lg^{4}(x)} - \frac{3sin(sin(cos(cos(lg(lg(x))))))sin(cos(cos(lg(lg(x)))))sin^{4}(lg(lg(x)))sin^{2}(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))cos(cos(lg(lg(x))))}{x^{4}ln^{8}{10}lg^{4}(x)} - \frac{sin^{3}(cos(lg(lg(x))))sin^{2}(lg(lg(x)))cos(cos(cos(lg(lg(x)))))cos(lg(lg(x)))cos(sin(cos(cos(lg(lg(x))))))}{x^{4}ln^{8}{10}lg^{4}(x)} + \frac{11sin(cos(lg(lg(x))))cos(lg(lg(x)))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{4}ln^{6}{10}lg^{4}(x)} - \frac{11sin^{2}(lg(lg(x)))cos(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{4}ln^{6}{10}lg^{4}(x)} + \frac{6sin(sin(cos(cos(lg(lg(x))))))sin^{2}(cos(lg(lg(x))))sin(lg(lg(x)))cos^{2}(cos(cos(lg(lg(x)))))cos(lg(lg(x)))}{x^{4}ln^{6}{10}lg^{3}(x)} - \frac{12sin(lg(lg(x)))sin(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{4}ln^{4}{10}lg^{3}(x)} - \frac{6sin(lg(lg(x)))sin(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{4}ln^{2}{10}lg(x)} + \frac{6sin(sin(cos(cos(lg(lg(x))))))sin^{2}(cos(lg(lg(x))))sin(lg(lg(x)))cos^{2}(cos(cos(lg(lg(x)))))cos(lg(lg(x)))}{x^{4}ln^{7}{10}lg^{4}(x)} + \frac{12sin(lg(lg(x)))sin^{2}(cos(lg(lg(x))))sin(cos(cos(lg(lg(x)))))cos(lg(lg(x)))cos(sin(cos(cos(lg(lg(x))))))}{x^{4}ln^{6}{10}lg^{3}(x)} + \frac{12sin(lg(lg(x)))sin^{2}(cos(lg(lg(x))))sin(cos(cos(lg(lg(x)))))cos(lg(lg(x)))cos(sin(cos(cos(lg(lg(x))))))}{x^{4}ln^{7}{10}lg^{4}(x)} + \frac{4sin^{4}(lg(lg(x)))sin^{4}(cos(lg(lg(x))))sin(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))cos^{2}(cos(cos(lg(lg(x)))))}{x^{4}ln^{8}{10}lg^{4}(x)} - \frac{3sin(sin(cos(cos(lg(lg(x))))))sin^{4}(lg(lg(x)))cos^{2}(cos(lg(lg(x))))cos^{2}(cos(cos(lg(lg(x)))))}{x^{4}ln^{8}{10}lg^{4}(x)} - \frac{6sin^{4}(lg(lg(x)))sin^{2}(cos(lg(lg(x))))sin(cos(cos(lg(lg(x)))))sin(sin(cos(cos(lg(lg(x))))))cos(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))}{x^{4}ln^{8}{10}lg^{4}(x)} - \frac{12sin^{3}(lg(lg(x)))sin(cos(lg(lg(x))))sin(cos(cos(lg(lg(x)))))cos(cos(lg(lg(x))))cos(sin(cos(cos(lg(lg(x))))))}{x^{4}ln^{6}{10}lg^{3}(x)} - \frac{12sin^{3}(lg(lg(x)))sin(cos(lg(lg(x))))sin(cos(cos(lg(lg(x)))))cos(cos(lg(lg(x))))cos(sin(cos(cos(lg(lg(x))))))}{x^{4}ln^{7}{10}lg^{4}(x)} - \frac{2sin^{2}(cos(lg(lg(x))))sin(cos(cos(lg(lg(x)))))cos^{2}(lg(lg(x)))cos(sin(cos(cos(lg(lg(x))))))}{x^{4}ln^{8}{10}lg^{4}(x)} - \frac{6sin^{3}(lg(lg(x)))sin(cos(cos(lg(lg(x)))))sin(cos(lg(lg(x))))cos(cos(lg(lg(x))))cos(sin(cos(cos(lg(lg(x))))))}{x^{4}ln^{6}{10}lg^{3}(x)} - \frac{sin^{2}(cos(lg(lg(x))))sin(sin(cos(cos(lg(lg(x))))))cos^{2}(lg(lg(x)))cos^{2}(cos(cos(lg(lg(x)))))}{x^{4}ln^{8}{10}lg^{4}(x)} + \frac{10sin^{2}(lg(lg(x)))sin(cos(cos(lg(lg(x)))))sin(sin(cos(cos(lg(lg(x))))))sin^{3}(cos(lg(lg(x))))cos(lg(lg(x)))cos(cos(cos(lg(lg(x)))))}{x^{4}ln^{8}{10}lg^{4}(x)} + \frac{2sin(sin(cos(cos(lg(lg(x))))))sin^{3}(cos(lg(lg(x))))sin^{2}(lg(lg(x)))sin(cos(cos(lg(lg(x)))))cos(cos(cos(lg(lg(x)))))cos(lg(lg(x)))}{x^{4}ln^{8}{10}lg^{4}(x)} + \frac{6sin^{3}(lg(lg(x)))sin^{3}(cos(lg(lg(x))))cos(sin(cos(cos(lg(lg(x))))))cos^{3}(cos(cos(lg(lg(x)))))}{x^{4}ln^{6}{10}lg^{3}(x)} + \frac{6sin(lg(lg(x)))sin(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{4}ln^{6}{10}lg^{3}(x)} + \frac{6sin(lg(lg(x)))sin(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{4}ln^{7}{10}lg^{4}(x)} - \frac{sin(cos(lg(lg(x))))cos(lg(lg(x)))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{4}ln^{8}{10}lg^{4}(x)} + \frac{12sin(lg(lg(x)))sin(sin(cos(cos(lg(lg(x))))))sin^{2}(cos(lg(lg(x))))cos(lg(lg(x)))cos^{2}(cos(cos(lg(lg(x)))))}{x^{4}ln^{6}{10}lg^{3}(x)} + \frac{12sin(lg(lg(x)))sin(sin(cos(cos(lg(lg(x))))))sin^{2}(cos(lg(lg(x))))cos(lg(lg(x)))cos^{2}(cos(cos(lg(lg(x)))))}{x^{4}ln^{7}{10}lg^{4}(x)} + \frac{6sin^{3}(lg(lg(x)))sin^{3}(cos(lg(lg(x))))cos(sin(cos(cos(lg(lg(x))))))cos^{3}(cos(cos(lg(lg(x)))))}{x^{4}ln^{7}{10}lg^{4}(x)} - \frac{11sin(lg(lg(x)))sin(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{4}ln^{3}{10}lg^{2}(x)} - \frac{3sin^{4}(lg(lg(x)))sin(cos(cos(lg(lg(x)))))cos^{2}(cos(lg(lg(x))))cos(sin(cos(cos(lg(lg(x))))))}{x^{4}ln^{8}{10}lg^{4}(x)} - \frac{6sin^{3}(lg(lg(x)))sin(cos(cos(lg(lg(x)))))sin(cos(lg(lg(x))))cos(cos(lg(lg(x))))cos(sin(cos(cos(lg(lg(x))))))}{x^{4}ln^{7}{10}lg^{4}(x)} + \frac{6sin^{2}(cos(lg(lg(x))))sin(cos(cos(lg(lg(x)))))sin(lg(lg(x)))cos(lg(lg(x)))cos(sin(cos(cos(lg(lg(x))))))}{x^{4}ln^{6}{10}lg^{3}(x)} + \frac{6sin^{2}(cos(lg(lg(x))))sin(cos(cos(lg(lg(x)))))sin(lg(lg(x)))cos(lg(lg(x)))cos(sin(cos(cos(lg(lg(x))))))}{x^{4}ln^{7}{10}lg^{4}(x)} - \frac{12sin(sin(cos(cos(lg(lg(x))))))sin^{3}(lg(lg(x)))sin(cos(lg(lg(x))))cos(cos(lg(lg(x))))cos^{2}(cos(cos(lg(lg(x)))))}{x^{4}ln^{6}{10}lg^{3}(x)} - \frac{12sin(sin(cos(cos(lg(lg(x))))))sin^{3}(lg(lg(x)))sin(cos(lg(lg(x))))cos(cos(lg(lg(x))))cos^{2}(cos(cos(lg(lg(x)))))}{x^{4}ln^{7}{10}lg^{4}(x)} + \frac{2sin(cos(cos(lg(lg(x)))))sin^{4}(lg(lg(x)))sin^{4}(cos(lg(lg(x))))cos(sin(cos(cos(lg(lg(x))))))cos^{2}(cos(cos(lg(lg(x)))))}{x^{4}ln^{8}{10}lg^{4}(x)} - \frac{2sin(sin(cos(cos(lg(lg(x))))))sin^{2}(cos(lg(lg(x))))sin^{4}(lg(lg(x)))sin(cos(cos(lg(lg(x)))))cos(cos(cos(lg(lg(x)))))cos(cos(lg(lg(x))))}{x^{4}ln^{8}{10}lg^{4}(x)} + \frac{6sin^{3}(lg(lg(x)))sin(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{4}ln^{6}{10}lg^{3}(x)} + \frac{6sin^{3}(lg(lg(x)))sin(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{4}ln^{7}{10}lg^{4}(x)} + \frac{sin^{4}(lg(lg(x)))cos(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{4}ln^{8}{10}lg^{4}(x)} + \frac{4sin^{4}(lg(lg(x)))sin(sin(cos(cos(lg(lg(x))))))sin^{2}(cos(lg(lg(x))))cos^{2}(cos(cos(lg(lg(x)))))}{x^{4}ln^{8}{10}lg^{4}(x)} + \frac{2sin^{2}(lg(lg(x)))sin^{2}(cos(lg(lg(x))))sin(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{4}ln^{8}{10}lg^{4}(x)} + \frac{2sin^{2}(lg(lg(x)))sin(sin(cos(cos(lg(lg(x))))))sin^{2}(cos(lg(lg(x))))cos^{2}(cos(cos(lg(lg(x)))))}{x^{4}ln^{8}{10}lg^{4}(x)} - \frac{2sin(sin(cos(cos(lg(lg(x))))))sin^{2}(cos(lg(lg(x))))cos^{2}(lg(lg(x)))cos^{2}(cos(cos(lg(lg(x)))))}{x^{4}ln^{8}{10}lg^{4}(x)} + \frac{sin^{4}(lg(lg(x)))sin(sin(cos(cos(lg(lg(x))))))sin^{4}(cos(lg(lg(x))))cos^{4}(cos(cos(lg(lg(x)))))}{x^{4}ln^{8}{10}lg^{4}(x)} + \frac{2sin^{2}(cos(lg(lg(x))))sin^{2}(lg(lg(x)))sin(sin(cos(cos(lg(lg(x))))))cos^{2}(cos(cos(lg(lg(x)))))}{x^{4}ln^{8}{10}lg^{4}(x)} - \frac{11sin^{2}(lg(lg(x)))sin^{2}(cos(lg(lg(x))))sin(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{4}ln^{4}{10}lg^{2}(x)} - \frac{18sin^{2}(lg(lg(x)))sin(sin(cos(cos(lg(lg(x))))))sin^{2}(cos(lg(lg(x))))cos^{2}(cos(cos(lg(lg(x)))))}{x^{4}ln^{5}{10}lg^{3}(x)} - \frac{6sin(lg(lg(x)))sin(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{4}ln^{5}{10}lg^{4}(x)} - \frac{sin(cos(cos(lg(lg(x)))))sin^{2}(cos(lg(lg(x))))cos^{2}(lg(lg(x)))cos(sin(cos(cos(lg(lg(x))))))}{x^{4}ln^{8}{10}lg^{4}(x)} - \frac{11sin^{2}(lg(lg(x)))sin(sin(cos(cos(lg(lg(x))))))sin^{2}(cos(lg(lg(x))))cos^{2}(cos(cos(lg(lg(x)))))}{x^{4}ln^{6}{10}lg^{4}(x)} - \frac{11sin^{2}(lg(lg(x)))sin(sin(cos(cos(lg(lg(x))))))sin^{2}(cos(lg(lg(x))))cos^{2}(cos(cos(lg(lg(x)))))}{x^{4}ln^{4}{10}lg^{2}(x)} + \frac{4sin^{4}(lg(lg(x)))sin^{2}(cos(lg(lg(x))))sin(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{4}ln^{8}{10}lg^{4}(x)} - \frac{4sin(sin(cos(cos(lg(lg(x))))))sin(cos(cos(lg(lg(x)))))sin^{4}(lg(lg(x)))sin^{2}(cos(lg(lg(x))))cos(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))}{x^{4}ln^{8}{10}lg^{4}(x)} - \frac{18sin^{2}(lg(lg(x)))sin^{2}(cos(lg(lg(x))))sin(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{4}ln^{5}{10}lg^{3}(x)} + \frac{6sin^{3}(lg(lg(x)))sin^{3}(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{4}ln^{6}{10}lg^{3}(x)} - \frac{6sin(sin(cos(cos(lg(lg(x))))))sin^{3}(cos(lg(lg(x))))sin^{3}(lg(lg(x)))sin(cos(cos(lg(lg(x)))))cos(cos(cos(lg(lg(x)))))}{x^{4}ln^{6}{10}lg^{3}(x)} + \frac{6sin^{3}(lg(lg(x)))sin^{3}(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{4}ln^{7}{10}lg^{4}(x)} + \frac{sin^{4}(lg(lg(x)))sin^{4}(cos(lg(lg(x))))sin(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{4}ln^{8}{10}lg^{4}(x)} + \frac{sin^{4}(lg(lg(x)))sin(sin(cos(cos(lg(lg(x))))))sin^{4}(cos(lg(lg(x))))cos^{2}(cos(cos(lg(lg(x)))))}{x^{4}ln^{8}{10}lg^{4}(x)} - \frac{6sin(sin(cos(cos(lg(lg(x))))))sin^{3}(cos(lg(lg(x))))sin^{3}(lg(lg(x)))sin(cos(cos(lg(lg(x)))))cos(cos(cos(lg(lg(x)))))}{x^{4}ln^{7}{10}lg^{4}(x)} + \frac{3sin^{4}(lg(lg(x)))sin^{4}(cos(lg(lg(x))))sin(sin(cos(cos(lg(lg(x))))))cos^{2}(cos(cos(lg(lg(x)))))}{x^{4}ln^{8}{10}lg^{4}(x)} - \frac{12sin^{3}(lg(lg(x)))sin(cos(cos(lg(lg(x)))))sin(sin(cos(cos(lg(lg(x))))))sin^{3}(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))}{x^{4}ln^{6}{10}lg^{3}(x)} - \frac{12sin^{3}(lg(lg(x)))sin(cos(cos(lg(lg(x)))))sin(sin(cos(cos(lg(lg(x))))))sin^{3}(cos(lg(lg(x))))cos(cos(cos(lg(lg(x)))))}{x^{4}ln^{7}{10}lg^{4}(x)} - \frac{11sin^{2}(lg(lg(x)))sin^{2}(cos(lg(lg(x))))sin(cos(cos(lg(lg(x)))))cos(sin(cos(cos(lg(lg(x))))))}{x^{4}ln^{6}{10}lg^{4}(x)} - \frac{sin^{4}(lg(lg(x)))sin^{4}(cos(lg(lg(x))))sin^{2}(cos(cos(lg(lg(x)))))sin(sin(cos(cos(lg(lg(x))))))}{x^{4}ln^{8}{10}lg^{4}(x)} + \frac{2sin(cos(cos(lg(lg(x)))))sin^{2}(lg(lg(x)))sin^{2}(cos(lg(lg(x))))cos(sin(cos(cos(lg(lg(x))))))}{x^{4}ln^{8}{10}lg^{4}(x)} - \frac{2sin(sin(cos(cos(lg(lg(x))))))sin^{4}(cos(lg(lg(x))))sin^{4}(lg(lg(x)))sin^{2}(cos(cos(lg(lg(x)))))}{x^{4}ln^{8}{10}lg^{4}(x)}\\ \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!