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。\[ \begin{equation}\begin{split}【1/1】求函数log_{sin(cos(x))}^{cos(sin(x))} 关于 x 的 4 阶导数:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\解:&\\ &\color{blue}{函数的第 1 阶导数:}\\&\frac{d\left( log_{sin(cos(x))}^{cos(sin(x))}\right)}{dx}\\=&(\frac{(\frac{(-sin(sin(x))cos(x))}{(cos(sin(x)))} - \frac{(cos(cos(x))*-sin(x))log_{sin(cos(x))}^{cos(sin(x))}}{(sin(cos(x)))})}{(ln(sin(cos(x))))})\\=&\frac{-sin(sin(x))cos(x)}{ln(sin(cos(x)))cos(sin(x))} + \frac{log_{sin(cos(x))}^{cos(sin(x))}sin(x)cos(cos(x))}{ln(sin(cos(x)))sin(cos(x))}\\\\ &\color{blue}{函数的第 2 阶导数:} \\&\frac{d\left( \frac{-sin(sin(x))cos(x)}{ln(sin(cos(x)))cos(sin(x))} + \frac{log_{sin(cos(x))}^{cos(sin(x))}sin(x)cos(cos(x))}{ln(sin(cos(x)))sin(cos(x))}\right)}{dx}\\=&\frac{--cos(cos(x))*-sin(x)sin(sin(x))cos(x)}{ln^{2}(sin(cos(x)))(sin(cos(x)))cos(sin(x))} - \frac{cos(sin(x))cos(x)cos(x)}{ln(sin(cos(x)))cos(sin(x))} - \frac{sin(sin(x))sin(sin(x))cos(x)cos(x)}{ln(sin(cos(x)))cos^{2}(sin(x))} - \frac{sin(sin(x))*-sin(x)}{ln(sin(cos(x)))cos(sin(x))} + \frac{(\frac{(\frac{(-sin(sin(x))cos(x))}{(cos(sin(x)))} - \frac{(cos(cos(x))*-sin(x))log_{sin(cos(x))}^{cos(sin(x))}}{(sin(cos(x)))})}{(ln(sin(cos(x))))})sin(x)cos(cos(x))}{ln(sin(cos(x)))sin(cos(x))} + \frac{log_{sin(cos(x))}^{cos(sin(x))}*-cos(cos(x))*-sin(x)sin(x)cos(cos(x))}{ln^{2}(sin(cos(x)))(sin(cos(x)))sin(cos(x))} + \frac{log_{sin(cos(x))}^{cos(sin(x))}cos(x)cos(cos(x))}{ln(sin(cos(x)))sin(cos(x))} + \frac{log_{sin(cos(x))}^{cos(sin(x))}sin(x)*-cos(cos(x))*-sin(x)cos(cos(x))}{ln(sin(cos(x)))sin^{2}(cos(x))} + \frac{log_{sin(cos(x))}^{cos(sin(x))}sin(x)*-sin(cos(x))*-sin(x)}{ln(sin(cos(x)))sin(cos(x))}\\=&\frac{-sin(x)sin(sin(x))cos(cos(x))cos(x)}{ln^{2}(sin(cos(x)))sin(cos(x))cos(sin(x))} - \frac{cos^{2}(x)}{ln(sin(cos(x)))} - \frac{sin^{2}(sin(x))cos^{2}(x)}{ln(sin(cos(x)))cos^{2}(sin(x))} + \frac{sin(x)sin(sin(x))}{ln(sin(cos(x)))cos(sin(x))} - \frac{sin(sin(x))sin(x)cos(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))cos(sin(x))} + \frac{2log_{sin(cos(x))}^{cos(sin(x))}sin^{2}(x)cos^{2}(cos(x))}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))} + \frac{log_{sin(cos(x))}^{cos(sin(x))}cos(x)cos(cos(x))}{ln(sin(cos(x)))sin(cos(x))} + \frac{log_{sin(cos(x))}^{cos(sin(x))}sin^{2}(x)cos^{2}(cos(x))}{ln(sin(cos(x)))sin^{2}(cos(x))} + \frac{log_{sin(cos(x))}^{cos(sin(x))}sin^{2}(x)}{ln(sin(cos(x)))}\\\\ &\color{blue}{函数的第 3 阶导数:} \\&\frac{d\left( \frac{-sin(x)sin(sin(x))cos(cos(x))cos(x)}{ln^{2}(sin(cos(x)))sin(cos(x))cos(sin(x))} - \frac{cos^{2}(x)}{ln(sin(cos(x)))} - \frac{sin^{2}(sin(x))cos^{2}(x)}{ln(sin(cos(x)))cos^{2}(sin(x))} + \frac{sin(x)sin(sin(x))}{ln(sin(cos(x)))cos(sin(x))} - \frac{sin(sin(x))sin(x)cos(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))cos(sin(x))} + \frac{2log_{sin(cos(x))}^{cos(sin(x))}sin^{2}(x)cos^{2}(cos(x))}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))} + \frac{log_{sin(cos(x))}^{cos(sin(x))}cos(x)cos(cos(x))}{ln(sin(cos(x)))sin(cos(x))} + \frac{log_{sin(cos(x))}^{cos(sin(x))}sin^{2}(x)cos^{2}(cos(x))}{ln(sin(cos(x)))sin^{2}(cos(x))} + \frac{log_{sin(cos(x))}^{cos(sin(x))}sin^{2}(x)}{ln(sin(cos(x)))}\right)}{dx}\\=&\frac{--2cos(cos(x))*-sin(x)sin(x)sin(sin(x))cos(cos(x))cos(x)}{ln^{3}(sin(cos(x)))(sin(cos(x)))sin(cos(x))cos(sin(x))} - \frac{cos(x)sin(sin(x))cos(cos(x))cos(x)}{ln^{2}(sin(cos(x)))sin(cos(x))cos(sin(x))} - \frac{sin(x)*-cos(cos(x))*-sin(x)sin(sin(x))cos(cos(x))cos(x)}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))cos(sin(x))} - \frac{sin(x)cos(sin(x))cos(x)cos(cos(x))cos(x)}{ln^{2}(sin(cos(x)))sin(cos(x))cos(sin(x))} - \frac{sin(x)sin(sin(x))*-sin(cos(x))*-sin(x)cos(x)}{ln^{2}(sin(cos(x)))sin(cos(x))cos(sin(x))} - \frac{sin(x)sin(sin(x))cos(cos(x))sin(sin(x))cos(x)cos(x)}{ln^{2}(sin(cos(x)))sin(cos(x))cos^{2}(sin(x))} - \frac{sin(x)sin(sin(x))cos(cos(x))*-sin(x)}{ln^{2}(sin(cos(x)))sin(cos(x))cos(sin(x))} - \frac{-cos(cos(x))*-sin(x)cos^{2}(x)}{ln^{2}(sin(cos(x)))(sin(cos(x)))} - \frac{-2cos(x)sin(x)}{ln(sin(cos(x)))} - \frac{-cos(cos(x))*-sin(x)sin^{2}(sin(x))cos^{2}(x)}{ln^{2}(sin(cos(x)))(sin(cos(x)))cos^{2}(sin(x))} - \frac{2sin(sin(x))cos(sin(x))cos(x)cos^{2}(x)}{ln(sin(cos(x)))cos^{2}(sin(x))} - \frac{sin^{2}(sin(x))*-2cos(x)sin(x)}{ln(sin(cos(x)))cos^{2}(sin(x))} - \frac{sin^{2}(sin(x))cos^{2}(x)*2sin(sin(x))cos(x)}{ln(sin(cos(x)))cos^{3}(sin(x))} + \frac{-cos(cos(x))*-sin(x)sin(x)sin(sin(x))}{ln^{2}(sin(cos(x)))(sin(cos(x)))cos(sin(x))} + \frac{cos(x)sin(sin(x))}{ln(sin(cos(x)))cos(sin(x))} + \frac{sin(x)cos(sin(x))cos(x)}{ln(sin(cos(x)))cos(sin(x))} + \frac{sin(x)sin(sin(x))sin(sin(x))cos(x)}{ln(sin(cos(x)))cos^{2}(sin(x))} - \frac{-2cos(cos(x))*-sin(x)sin(sin(x))sin(x)cos(x)cos(cos(x))}{ln^{3}(sin(cos(x)))(sin(cos(x)))sin(cos(x))cos(sin(x))} - \frac{cos(sin(x))cos(x)sin(x)cos(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))cos(sin(x))} - \frac{sin(sin(x))cos(x)cos(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))cos(sin(x))} - \frac{sin(sin(x))sin(x)*-cos(cos(x))*-sin(x)cos(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))cos(sin(x))} - \frac{sin(sin(x))sin(x)sin(sin(x))cos(x)cos(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))cos^{2}(sin(x))} - \frac{sin(sin(x))sin(x)*-sin(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))cos(sin(x))} - \frac{sin(sin(x))sin(x)cos(x)*-sin(cos(x))*-sin(x)}{ln^{2}(sin(cos(x)))sin(cos(x))cos(sin(x))} + \frac{2(\frac{(\frac{(-sin(sin(x))cos(x))}{(cos(sin(x)))} - \frac{(cos(cos(x))*-sin(x))log_{sin(cos(x))}^{cos(sin(x))}}{(sin(cos(x)))})}{(ln(sin(cos(x))))})sin^{2}(x)cos^{2}(cos(x))}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))} + \frac{2log_{sin(cos(x))}^{cos(sin(x))}*-2cos(cos(x))*-sin(x)sin^{2}(x)cos^{2}(cos(x))}{ln^{3}(sin(cos(x)))(sin(cos(x)))sin^{2}(cos(x))} + \frac{2log_{sin(cos(x))}^{cos(sin(x))}*2sin(x)cos(x)cos^{2}(cos(x))}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))} + \frac{2log_{sin(cos(x))}^{cos(sin(x))}sin^{2}(x)*-2cos(cos(x))*-sin(x)cos^{2}(cos(x))}{ln^{2}(sin(cos(x)))sin^{3}(cos(x))} + \frac{2log_{sin(cos(x))}^{cos(sin(x))}sin^{2}(x)*-2cos(cos(x))sin(cos(x))*-sin(x)}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))} + \frac{(\frac{(\frac{(-sin(sin(x))cos(x))}{(cos(sin(x)))} - \frac{(cos(cos(x))*-sin(x))log_{sin(cos(x))}^{cos(sin(x))}}{(sin(cos(x)))})}{(ln(sin(cos(x))))})cos(x)cos(cos(x))}{ln(sin(cos(x)))sin(cos(x))} + \frac{log_{sin(cos(x))}^{cos(sin(x))}*-cos(cos(x))*-sin(x)cos(x)cos(cos(x))}{ln^{2}(sin(cos(x)))(sin(cos(x)))sin(cos(x))} + \frac{log_{sin(cos(x))}^{cos(sin(x))}*-cos(cos(x))*-sin(x)cos(x)cos(cos(x))}{ln(sin(cos(x)))sin^{2}(cos(x))} + \frac{log_{sin(cos(x))}^{cos(sin(x))}*-sin(x)cos(cos(x))}{ln(sin(cos(x)))sin(cos(x))} + \frac{log_{sin(cos(x))}^{cos(sin(x))}cos(x)*-sin(cos(x))*-sin(x)}{ln(sin(cos(x)))sin(cos(x))} + \frac{(\frac{(\frac{(-sin(sin(x))cos(x))}{(cos(sin(x)))} - \frac{(cos(cos(x))*-sin(x))log_{sin(cos(x))}^{cos(sin(x))}}{(sin(cos(x)))})}{(ln(sin(cos(x))))})sin^{2}(x)cos^{2}(cos(x))}{ln(sin(cos(x)))sin^{2}(cos(x))} + \frac{log_{sin(cos(x))}^{cos(sin(x))}*-cos(cos(x))*-sin(x)sin^{2}(x)cos^{2}(cos(x))}{ln^{2}(sin(cos(x)))(sin(cos(x)))sin^{2}(cos(x))} + \frac{log_{sin(cos(x))}^{cos(sin(x))}*-2cos(cos(x))*-sin(x)sin^{2}(x)cos^{2}(cos(x))}{ln(sin(cos(x)))sin^{3}(cos(x))} + \frac{log_{sin(cos(x))}^{cos(sin(x))}*2sin(x)cos(x)cos^{2}(cos(x))}{ln(sin(cos(x)))sin^{2}(cos(x))} + \frac{log_{sin(cos(x))}^{cos(sin(x))}sin^{2}(x)*-2cos(cos(x))sin(cos(x))*-sin(x)}{ln(sin(cos(x)))sin^{2}(cos(x))} + \frac{(\frac{(\frac{(-sin(sin(x))cos(x))}{(cos(sin(x)))} - \frac{(cos(cos(x))*-sin(x))log_{sin(cos(x))}^{cos(sin(x))}}{(sin(cos(x)))})}{(ln(sin(cos(x))))})sin^{2}(x)}{ln(sin(cos(x)))} + \frac{log_{sin(cos(x))}^{cos(sin(x))}*-cos(cos(x))*-sin(x)sin^{2}(x)}{ln^{2}(sin(cos(x)))(sin(cos(x)))} + \frac{log_{sin(cos(x))}^{cos(sin(x))}*2sin(x)cos(x)}{ln(sin(cos(x)))}\\=&\frac{-4sin^{2}(x)sin(sin(x))cos^{2}(cos(x))cos(x)}{ln^{3}(sin(cos(x)))sin^{2}(cos(x))cos(sin(x))} - \frac{sin(sin(x))cos^{2}(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))cos(sin(x))} - \frac{sin^{2}(x)sin(sin(x))cos^{2}(cos(x))cos(x)}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))cos(sin(x))} - \frac{2sin(sin(x))cos^{2}(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))cos(sin(x))} - \frac{sin(sin(x))sin^{2}(x)cos(x)}{ln^{2}(sin(cos(x)))cos(sin(x))} - \frac{sin(x)sin^{2}(sin(x))cos^{2}(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))cos^{2}(sin(x))} - \frac{sin(x)sin^{2}(sin(x))cos(cos(x))cos^{2}(x)}{ln^{2}(sin(cos(x)))sin(cos(x))cos^{2}(sin(x))} - \frac{sin(x)cos(cos(x))cos^{2}(x)}{ln^{2}(sin(cos(x)))sin(cos(x))} - \frac{2sin(sin(x))cos^{3}(x)}{ln(sin(cos(x)))cos(sin(x))} - \frac{sin^{2}(x)sin(sin(x))cos^{2}(cos(x))cos(x)}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))cos(sin(x))} - \frac{2sin^{3}(sin(x))cos^{3}(x)}{ln(sin(cos(x)))cos^{3}(sin(x))} + \frac{sin(sin(x))cos(x)}{ln(sin(cos(x)))cos(sin(x))} - \frac{sin^{2}(sin(x))sin(x)cos^{2}(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))cos^{2}(sin(x))} + \frac{3sin(x)cos(x)}{ln(sin(cos(x)))} + \frac{sin^{2}(sin(x))sin(x)cos(x)}{ln(sin(cos(x)))cos^{2}(sin(x))} + \frac{2sin(x)sin^{2}(sin(x))cos(x)}{ln(sin(cos(x)))cos^{2}(sin(x))} - \frac{2sin(x)cos^{2}(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))} - \frac{2sin(sin(x))sin^{2}(x)cos(x)cos^{2}(cos(x))}{ln^{3}(sin(cos(x)))sin^{2}(cos(x))cos(sin(x))} - \frac{sin(sin(x))sin^{2}(x)cos(x)cos^{2}(cos(x))}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))cos(sin(x))} + \frac{sin(sin(x))sin^{2}(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))cos(sin(x))} - \frac{sin^{2}(x)sin(sin(x))cos(x)}{ln^{2}(sin(cos(x)))cos(sin(x))} + \frac{sin(sin(x))sin^{2}(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))cos(sin(x))} + \frac{4log_{sin(cos(x))}^{cos(sin(x))}sin(x)cos(x)cos^{2}(cos(x))}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))} + \frac{2log_{sin(cos(x))}^{cos(sin(x))}sin(x)cos^{2}(cos(x))cos(x)}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))} + \frac{log_{sin(cos(x))}^{cos(sin(x))}sin(x)cos^{2}(cos(x))cos(x)}{ln(sin(cos(x)))sin^{2}(cos(x))} + \frac{2log_{sin(cos(x))}^{cos(sin(x))}sin(x)cos(x)cos^{2}(cos(x))}{ln(sin(cos(x)))sin^{2}(cos(x))} + \frac{6log_{sin(cos(x))}^{cos(sin(x))}sin^{3}(x)cos^{3}(cos(x))}{ln^{3}(sin(cos(x)))sin^{3}(cos(x))} + \frac{4log_{sin(cos(x))}^{cos(sin(x))}sin^{3}(x)cos^{3}(cos(x))}{ln^{2}(sin(cos(x)))sin^{3}(cos(x))} + \frac{4log_{sin(cos(x))}^{cos(sin(x))}sin^{3}(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))} + \frac{2log_{sin(cos(x))}^{cos(sin(x))}sin^{3}(x)cos^{3}(cos(x))}{ln(sin(cos(x)))sin^{3}(cos(x))} + \frac{sin^{2}(x)sin(sin(x))cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))cos(sin(x))} + \frac{2log_{sin(cos(x))}^{cos(sin(x))}sin^{3}(x)cos^{3}(cos(x))}{ln^{2}(sin(cos(x)))sin^{3}(cos(x))} + \frac{3log_{sin(cos(x))}^{cos(sin(x))}sin(x)cos(x)}{ln(sin(cos(x)))} - \frac{log_{sin(cos(x))}^{cos(sin(x))}sin(x)cos(cos(x))}{ln(sin(cos(x)))sin(cos(x))} + \frac{2log_{sin(cos(x))}^{cos(sin(x))}sin^{3}(x)cos(cos(x))}{ln(sin(cos(x)))sin(cos(x))} - \frac{sin(sin(x))sin^{2}(x)cos(x)}{ln^{2}(sin(cos(x)))cos(sin(x))} + \frac{2log_{sin(cos(x))}^{cos(sin(x))}sin^{3}(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))}\\\\ &\color{blue}{函数的第 4 阶导数:} \\&\frac{d\left( \frac{-4sin^{2}(x)sin(sin(x))cos^{2}(cos(x))cos(x)}{ln^{3}(sin(cos(x)))sin^{2}(cos(x))cos(sin(x))} - \frac{sin(sin(x))cos^{2}(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))cos(sin(x))} - \frac{sin^{2}(x)sin(sin(x))cos^{2}(cos(x))cos(x)}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))cos(sin(x))} - \frac{2sin(sin(x))cos^{2}(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))cos(sin(x))} - \frac{sin(sin(x))sin^{2}(x)cos(x)}{ln^{2}(sin(cos(x)))cos(sin(x))} - \frac{sin(x)sin^{2}(sin(x))cos^{2}(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))cos^{2}(sin(x))} - \frac{sin(x)sin^{2}(sin(x))cos(cos(x))cos^{2}(x)}{ln^{2}(sin(cos(x)))sin(cos(x))cos^{2}(sin(x))} - \frac{sin(x)cos(cos(x))cos^{2}(x)}{ln^{2}(sin(cos(x)))sin(cos(x))} - \frac{2sin(sin(x))cos^{3}(x)}{ln(sin(cos(x)))cos(sin(x))} - \frac{sin^{2}(x)sin(sin(x))cos^{2}(cos(x))cos(x)}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))cos(sin(x))} - \frac{2sin^{3}(sin(x))cos^{3}(x)}{ln(sin(cos(x)))cos^{3}(sin(x))} + \frac{sin(sin(x))cos(x)}{ln(sin(cos(x)))cos(sin(x))} - \frac{sin^{2}(sin(x))sin(x)cos^{2}(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))cos^{2}(sin(x))} + \frac{3sin(x)cos(x)}{ln(sin(cos(x)))} + \frac{sin^{2}(sin(x))sin(x)cos(x)}{ln(sin(cos(x)))cos^{2}(sin(x))} + \frac{2sin(x)sin^{2}(sin(x))cos(x)}{ln(sin(cos(x)))cos^{2}(sin(x))} - \frac{2sin(x)cos^{2}(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))} - \frac{2sin(sin(x))sin^{2}(x)cos(x)cos^{2}(cos(x))}{ln^{3}(sin(cos(x)))sin^{2}(cos(x))cos(sin(x))} - \frac{sin(sin(x))sin^{2}(x)cos(x)cos^{2}(cos(x))}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))cos(sin(x))} + \frac{sin(sin(x))sin^{2}(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))cos(sin(x))} - \frac{sin^{2}(x)sin(sin(x))cos(x)}{ln^{2}(sin(cos(x)))cos(sin(x))} + \frac{sin(sin(x))sin^{2}(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))cos(sin(x))} + \frac{4log_{sin(cos(x))}^{cos(sin(x))}sin(x)cos(x)cos^{2}(cos(x))}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))} + \frac{2log_{sin(cos(x))}^{cos(sin(x))}sin(x)cos^{2}(cos(x))cos(x)}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))} + \frac{log_{sin(cos(x))}^{cos(sin(x))}sin(x)cos^{2}(cos(x))cos(x)}{ln(sin(cos(x)))sin^{2}(cos(x))} + \frac{2log_{sin(cos(x))}^{cos(sin(x))}sin(x)cos(x)cos^{2}(cos(x))}{ln(sin(cos(x)))sin^{2}(cos(x))} + \frac{6log_{sin(cos(x))}^{cos(sin(x))}sin^{3}(x)cos^{3}(cos(x))}{ln^{3}(sin(cos(x)))sin^{3}(cos(x))} + \frac{4log_{sin(cos(x))}^{cos(sin(x))}sin^{3}(x)cos^{3}(cos(x))}{ln^{2}(sin(cos(x)))sin^{3}(cos(x))} + \frac{4log_{sin(cos(x))}^{cos(sin(x))}sin^{3}(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))} + \frac{2log_{sin(cos(x))}^{cos(sin(x))}sin^{3}(x)cos^{3}(cos(x))}{ln(sin(cos(x)))sin^{3}(cos(x))} + \frac{sin^{2}(x)sin(sin(x))cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))cos(sin(x))} + \frac{2log_{sin(cos(x))}^{cos(sin(x))}sin^{3}(x)cos^{3}(cos(x))}{ln^{2}(sin(cos(x)))sin^{3}(cos(x))} + \frac{3log_{sin(cos(x))}^{cos(sin(x))}sin(x)cos(x)}{ln(sin(cos(x)))} - \frac{log_{sin(cos(x))}^{cos(sin(x))}sin(x)cos(cos(x))}{ln(sin(cos(x)))sin(cos(x))} + \frac{2log_{sin(cos(x))}^{cos(sin(x))}sin^{3}(x)cos(cos(x))}{ln(sin(cos(x)))sin(cos(x))} - \frac{sin(sin(x))sin^{2}(x)cos(x)}{ln^{2}(sin(cos(x)))cos(sin(x))} + \frac{2log_{sin(cos(x))}^{cos(sin(x))}sin^{3}(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))}\right)}{dx}\\=&\frac{-4*-3cos(cos(x))*-sin(x)sin^{2}(x)sin(sin(x))cos^{2}(cos(x))cos(x)}{ln^{4}(sin(cos(x)))(sin(cos(x)))sin^{2}(cos(x))cos(sin(x))} - \frac{4*2sin(x)cos(x)sin(sin(x))cos^{2}(cos(x))cos(x)}{ln^{3}(sin(cos(x)))sin^{2}(cos(x))cos(sin(x))} - \frac{4sin^{2}(x)*-2cos(cos(x))*-sin(x)sin(sin(x))cos^{2}(cos(x))cos(x)}{ln^{3}(sin(cos(x)))sin^{3}(cos(x))cos(sin(x))} - \frac{4sin^{2}(x)cos(sin(x))cos(x)cos^{2}(cos(x))cos(x)}{ln^{3}(sin(cos(x)))sin^{2}(cos(x))cos(sin(x))} - \frac{4sin^{2}(x)sin(sin(x))*-2cos(cos(x))sin(cos(x))*-sin(x)cos(x)}{ln^{3}(sin(cos(x)))sin^{2}(cos(x))cos(sin(x))} - \frac{4sin^{2}(x)sin(sin(x))cos^{2}(cos(x))sin(sin(x))cos(x)cos(x)}{ln^{3}(sin(cos(x)))sin^{2}(cos(x))cos^{2}(sin(x))} - \frac{4sin^{2}(x)sin(sin(x))cos^{2}(cos(x))*-sin(x)}{ln^{3}(sin(cos(x)))sin^{2}(cos(x))cos(sin(x))} - \frac{-2cos(cos(x))*-sin(x)sin(sin(x))cos^{2}(x)cos(cos(x))}{ln^{3}(sin(cos(x)))(sin(cos(x)))sin(cos(x))cos(sin(x))} - \frac{-cos(cos(x))*-sin(x)sin(sin(x))cos^{2}(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))cos(sin(x))} - \frac{cos(sin(x))cos(x)cos^{2}(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))cos(sin(x))} - \frac{sin(sin(x))*-2cos(x)sin(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))cos(sin(x))} - \frac{sin(sin(x))cos^{2}(x)*-sin(cos(x))*-sin(x)}{ln^{2}(sin(cos(x)))sin(cos(x))cos(sin(x))} - \frac{sin(sin(x))cos^{2}(x)cos(cos(x))sin(sin(x))cos(x)}{ln^{2}(sin(cos(x)))sin(cos(x))cos^{2}(sin(x))} - \frac{-2cos(cos(x))*-sin(x)sin^{2}(x)sin(sin(x))cos^{2}(cos(x))cos(x)}{ln^{3}(sin(cos(x)))(sin(cos(x)))sin^{2}(cos(x))cos(sin(x))} - \frac{-2cos(cos(x))*-sin(x)sin^{2}(x)sin(sin(x))cos^{2}(cos(x))cos(x)}{ln^{2}(sin(cos(x)))sin^{3}(cos(x))cos(sin(x))} - \frac{2sin(x)cos(x)sin(sin(x))cos^{2}(cos(x))cos(x)}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))cos(sin(x))} - \frac{sin^{2}(x)cos(sin(x))cos(x)cos^{2}(cos(x))cos(x)}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))cos(sin(x))} - \frac{sin^{2}(x)sin(sin(x))*-2cos(cos(x))sin(cos(x))*-sin(x)cos(x)}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))cos(sin(x))} - \frac{sin^{2}(x)sin(sin(x))cos^{2}(cos(x))sin(sin(x))cos(x)cos(x)}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))cos^{2}(sin(x))} - \frac{sin^{2}(x)sin(sin(x))cos^{2}(cos(x))*-sin(x)}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))cos(sin(x))} - \frac{2*-2cos(cos(x))*-sin(x)sin(sin(x))cos^{2}(x)cos(cos(x))}{ln^{3}(sin(cos(x)))(sin(cos(x)))sin(cos(x))cos(sin(x))} - \frac{2cos(sin(x))cos(x)cos^{2}(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))cos(sin(x))} - \frac{2sin(sin(x))*-cos(cos(x))*-sin(x)cos^{2}(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))cos(sin(x))} - \frac{2sin(sin(x))*-2cos(x)sin(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))cos(sin(x))} - \frac{2sin(sin(x))cos^{2}(x)sin(sin(x))cos(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))cos^{2}(sin(x))} - \frac{2sin(sin(x))cos^{2}(x)*-sin(cos(x))*-sin(x)}{ln^{2}(sin(cos(x)))sin(cos(x))cos(sin(x))} - \frac{-2cos(cos(x))*-sin(x)sin(sin(x))sin^{2}(x)cos(x)}{ln^{3}(sin(cos(x)))(sin(cos(x)))cos(sin(x))} - \frac{cos(sin(x))cos(x)sin^{2}(x)cos(x)}{ln^{2}(sin(cos(x)))cos(sin(x))} - \frac{sin(sin(x))*2sin(x)cos(x)cos(x)}{ln^{2}(sin(cos(x)))cos(sin(x))} - \frac{sin(sin(x))sin^{2}(x)sin(sin(x))cos(x)cos(x)}{ln^{2}(sin(cos(x)))cos^{2}(sin(x))} - \frac{sin(sin(x))sin^{2}(x)*-sin(x)}{ln^{2}(sin(cos(x)))cos(sin(x))} - \frac{-2cos(cos(x))*-sin(x)sin(x)sin^{2}(sin(x))cos^{2}(x)cos(cos(x))}{ln^{3}(sin(cos(x)))(sin(cos(x)))sin(cos(x))cos^{2}(sin(x))} - \frac{cos(x)sin^{2}(sin(x))cos^{2}(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))cos^{2}(sin(x))} - \frac{sin(x)*2sin(sin(x))cos(sin(x))cos(x)cos^{2}(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))cos^{2}(sin(x))} - \frac{sin(x)sin^{2}(sin(x))*-cos(cos(x))*-sin(x)cos^{2}(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))cos^{2}(sin(x))} - \frac{sin(x)sin^{2}(sin(x))*2sin(sin(x))cos(x)cos^{2}(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))cos^{3}(sin(x))} - \frac{sin(x)sin^{2}(sin(x))*-2cos(x)sin(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))cos^{2}(sin(x))} - \frac{sin(x)sin^{2}(sin(x))cos^{2}(x)*-sin(cos(x))*-sin(x)}{ln^{2}(sin(cos(x)))sin(cos(x))cos^{2}(sin(x))} - \frac{-2cos(cos(x))*-sin(x)sin(x)sin^{2}(sin(x))cos(cos(x))cos^{2}(x)}{ln^{3}(sin(cos(x)))(sin(cos(x)))sin(cos(x))cos^{2}(sin(x))} - \frac{cos(x)sin^{2}(sin(x))cos(cos(x))cos^{2}(x)}{ln^{2}(sin(cos(x)))sin(cos(x))cos^{2}(sin(x))} - \frac{sin(x)*-cos(cos(x))*-sin(x)sin^{2}(sin(x))cos(cos(x))cos^{2}(x)}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))cos^{2}(sin(x))} - \frac{sin(x)*2sin(sin(x))cos(sin(x))cos(x)cos(cos(x))cos^{2}(x)}{ln^{2}(sin(cos(x)))sin(cos(x))cos^{2}(sin(x))} - \frac{sin(x)sin^{2}(sin(x))*-sin(cos(x))*-sin(x)cos^{2}(x)}{ln^{2}(sin(cos(x)))sin(cos(x))cos^{2}(sin(x))} - \frac{sin(x)sin^{2}(sin(x))cos(cos(x))*-2cos(x)sin(x)}{ln^{2}(sin(cos(x)))sin(cos(x))cos^{2}(sin(x))} - \frac{sin(x)sin^{2}(sin(x))cos(cos(x))cos^{2}(x)*2sin(sin(x))cos(x)}{ln^{2}(sin(cos(x)))sin(cos(x))cos^{3}(sin(x))} - \frac{-2cos(cos(x))*-sin(x)sin(x)cos(cos(x))cos^{2}(x)}{ln^{3}(sin(cos(x)))(sin(cos(x)))sin(cos(x))} - \frac{cos(x)cos(cos(x))cos^{2}(x)}{ln^{2}(sin(cos(x)))sin(cos(x))} - \frac{sin(x)*-cos(cos(x))*-sin(x)cos(cos(x))cos^{2}(x)}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))} - \frac{sin(x)*-sin(cos(x))*-sin(x)cos^{2}(x)}{ln^{2}(sin(cos(x)))sin(cos(x))} - \frac{sin(x)cos(cos(x))*-2cos(x)sin(x)}{ln^{2}(sin(cos(x)))sin(cos(x))} - \frac{2*-cos(cos(x))*-sin(x)sin(sin(x))cos^{3}(x)}{ln^{2}(sin(cos(x)))(sin(cos(x)))cos(sin(x))} - \frac{2cos(sin(x))cos(x)cos^{3}(x)}{ln(sin(cos(x)))cos(sin(x))} - \frac{2sin(sin(x))*-3cos^{2}(x)sin(x)}{ln(sin(cos(x)))cos(sin(x))} - \frac{2sin(sin(x))cos^{3}(x)sin(sin(x))cos(x)}{ln(sin(cos(x)))cos^{2}(sin(x))} - \frac{-2cos(cos(x))*-sin(x)sin^{2}(x)sin(sin(x))cos^{2}(cos(x))cos(x)}{ln^{3}(sin(cos(x)))(sin(cos(x)))sin^{2}(cos(x))cos(sin(x))} - \frac{2sin(x)cos(x)sin(sin(x))cos^{2}(cos(x))cos(x)}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))cos(sin(x))} - \frac{sin^{2}(x)cos(sin(x))cos(x)cos^{2}(cos(x))cos(x)}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))cos(sin(x))} - \frac{sin^{2}(x)sin(sin(x))*-2cos(cos(x))*-sin(x)cos^{2}(cos(x))cos(x)}{ln^{2}(sin(cos(x)))sin^{3}(cos(x))cos(sin(x))} - \frac{sin^{2}(x)sin(sin(x))*-2cos(cos(x))sin(cos(x))*-sin(x)cos(x)}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))cos(sin(x))} - \frac{sin^{2}(x)sin(sin(x))cos^{2}(cos(x))sin(sin(x))cos(x)cos(x)}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))cos^{2}(sin(x))} - \frac{sin^{2}(x)sin(sin(x))cos^{2}(cos(x))*-sin(x)}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))cos(sin(x))} - \frac{2*-cos(cos(x))*-sin(x)sin^{3}(sin(x))cos^{3}(x)}{ln^{2}(sin(cos(x)))(sin(cos(x)))cos^{3}(sin(x))} - \frac{2*3sin^{2}(sin(x))cos(sin(x))cos(x)cos^{3}(x)}{ln(sin(cos(x)))cos^{3}(sin(x))} - \frac{2sin^{3}(sin(x))*3sin(sin(x))cos(x)cos^{3}(x)}{ln(sin(cos(x)))cos^{4}(sin(x))} - \frac{2sin^{3}(sin(x))*-3cos^{2}(x)sin(x)}{ln(sin(cos(x)))cos^{3}(sin(x))} + \frac{-cos(cos(x))*-sin(x)sin(sin(x))cos(x)}{ln^{2}(sin(cos(x)))(sin(cos(x)))cos(sin(x))} + \frac{cos(sin(x))cos(x)cos(x)}{ln(sin(cos(x)))cos(sin(x))} + \frac{sin(sin(x))*-sin(x)}{ln(sin(cos(x)))cos(sin(x))} + \frac{sin(sin(x))cos(x)sin(sin(x))cos(x)}{ln(sin(cos(x)))cos^{2}(sin(x))} - \frac{-2cos(cos(x))*-sin(x)sin^{2}(sin(x))sin(x)cos^{2}(x)cos(cos(x))}{ln^{3}(sin(cos(x)))(sin(cos(x)))sin(cos(x))cos^{2}(sin(x))} - \frac{2sin(sin(x))cos(sin(x))cos(x)sin(x)cos^{2}(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))cos^{2}(sin(x))} - \frac{sin^{2}(sin(x))cos(x)cos^{2}(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))cos^{2}(sin(x))} - \frac{sin^{2}(sin(x))sin(x)*-cos(cos(x))*-sin(x)cos^{2}(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))cos^{2}(sin(x))} - \frac{sin^{2}(sin(x))sin(x)*-2cos(x)sin(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))cos^{2}(sin(x))} - \frac{sin^{2}(sin(x))sin(x)cos^{2}(x)*2sin(sin(x))cos(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))cos^{3}(sin(x))} - \frac{sin^{2}(sin(x))sin(x)cos^{2}(x)*-sin(cos(x))*-sin(x)}{ln^{2}(sin(cos(x)))sin(cos(x))cos^{2}(sin(x))} + \frac{3*-cos(cos(x))*-sin(x)sin(x)cos(x)}{ln^{2}(sin(cos(x)))(sin(cos(x)))} + \frac{3cos(x)cos(x)}{ln(sin(cos(x)))} + \frac{3sin(x)*-sin(x)}{ln(sin(cos(x)))} + \frac{-cos(cos(x))*-sin(x)sin^{2}(sin(x))sin(x)cos(x)}{ln^{2}(sin(cos(x)))(sin(cos(x)))cos^{2}(sin(x))} + \frac{2sin(sin(x))cos(sin(x))cos(x)sin(x)cos(x)}{ln(sin(cos(x)))cos^{2}(sin(x))} + \frac{sin^{2}(sin(x))cos(x)cos(x)}{ln(sin(cos(x)))cos^{2}(sin(x))} + \frac{sin^{2}(sin(x))sin(x)*-sin(x)}{ln(sin(cos(x)))cos^{2}(sin(x))} + \frac{sin^{2}(sin(x))sin(x)cos(x)*2sin(sin(x))cos(x)}{ln(sin(cos(x)))cos^{3}(sin(x))} + \frac{2*-cos(cos(x))*-sin(x)sin(x)sin^{2}(sin(x))cos(x)}{ln^{2}(sin(cos(x)))(sin(cos(x)))cos^{2}(sin(x))} + \frac{2cos(x)sin^{2}(sin(x))cos(x)}{ln(sin(cos(x)))cos^{2}(sin(x))} + \frac{2sin(x)*2sin(sin(x))cos(sin(x))cos(x)cos(x)}{ln(sin(cos(x)))cos^{2}(sin(x))} + \frac{2sin(x)sin^{2}(sin(x))*-sin(x)}{ln(sin(cos(x)))cos^{2}(sin(x))} + \frac{2sin(x)sin^{2}(sin(x))cos(x)*2sin(sin(x))cos(x)}{ln(sin(cos(x)))cos^{3}(sin(x))} - \frac{2*-2cos(cos(x))*-sin(x)sin(x)cos^{2}(x)cos(cos(x))}{ln^{3}(sin(cos(x)))(sin(cos(x)))sin(cos(x))} - \frac{2cos(x)cos^{2}(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))} - \frac{2sin(x)*-cos(cos(x))*-sin(x)cos^{2}(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))} - \frac{2sin(x)*-2cos(x)sin(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))} - \frac{2sin(x)cos^{2}(x)*-sin(cos(x))*-sin(x)}{ln^{2}(sin(cos(x)))sin(cos(x))} - \frac{2*-3cos(cos(x))*-sin(x)sin(sin(x))sin^{2}(x)cos(x)cos^{2}(cos(x))}{ln^{4}(sin(cos(x)))(sin(cos(x)))sin^{2}(cos(x))cos(sin(x))} - \frac{2cos(sin(x))cos(x)sin^{2}(x)cos(x)cos^{2}(cos(x))}{ln^{3}(sin(cos(x)))sin^{2}(cos(x))cos(sin(x))} - \frac{2sin(sin(x))*2sin(x)cos(x)cos(x)cos^{2}(cos(x))}{ln^{3}(sin(cos(x)))sin^{2}(cos(x))cos(sin(x))} - \frac{2sin(sin(x))sin^{2}(x)*-2cos(cos(x))*-sin(x)cos(x)cos^{2}(cos(x))}{ln^{3}(sin(cos(x)))sin^{3}(cos(x))cos(sin(x))} - \frac{2sin(sin(x))sin^{2}(x)sin(sin(x))cos(x)cos(x)cos^{2}(cos(x))}{ln^{3}(sin(cos(x)))sin^{2}(cos(x))cos^{2}(sin(x))} - \frac{2sin(sin(x))sin^{2}(x)*-sin(x)cos^{2}(cos(x))}{ln^{3}(sin(cos(x)))sin^{2}(cos(x))cos(sin(x))} - \frac{2sin(sin(x))sin^{2}(x)cos(x)*-2cos(cos(x))sin(cos(x))*-sin(x)}{ln^{3}(sin(cos(x)))sin^{2}(cos(x))cos(sin(x))} - \frac{-2cos(cos(x))*-sin(x)sin(sin(x))sin^{2}(x)cos(x)cos^{2}(cos(x))}{ln^{3}(sin(cos(x)))(sin(cos(x)))sin^{2}(cos(x))cos(sin(x))} - \frac{cos(sin(x))cos(x)sin^{2}(x)cos(x)cos^{2}(cos(x))}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))cos(sin(x))} - \frac{sin(sin(x))*-2cos(cos(x))*-sin(x)sin^{2}(x)cos(x)cos^{2}(cos(x))}{ln^{2}(sin(cos(x)))sin^{3}(cos(x))cos(sin(x))} - \frac{sin(sin(x))*2sin(x)cos(x)cos(x)cos^{2}(cos(x))}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))cos(sin(x))} - \frac{sin(sin(x))sin^{2}(x)sin(sin(x))cos(x)cos(x)cos^{2}(cos(x))}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))cos^{2}(sin(x))} - \frac{sin(sin(x))sin^{2}(x)*-sin(x)cos^{2}(cos(x))}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))cos(sin(x))} - \frac{sin(sin(x))sin^{2}(x)cos(x)*-2cos(cos(x))sin(cos(x))*-sin(x)}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))cos(sin(x))} + \frac{-2cos(cos(x))*-sin(x)sin(sin(x))sin^{2}(x)cos(cos(x))}{ln^{3}(sin(cos(x)))(sin(cos(x)))sin(cos(x))cos(sin(x))} + \frac{-cos(cos(x))*-sin(x)sin(sin(x))sin^{2}(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))cos(sin(x))} + \frac{cos(sin(x))cos(x)sin^{2}(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))cos(sin(x))} + \frac{sin(sin(x))*2sin(x)cos(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))cos(sin(x))} + \frac{sin(sin(x))sin^{2}(x)sin(sin(x))cos(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))cos^{2}(sin(x))} + \frac{sin(sin(x))sin^{2}(x)*-sin(cos(x))*-sin(x)}{ln^{2}(sin(cos(x)))sin(cos(x))cos(sin(x))} - \frac{-2cos(cos(x))*-sin(x)sin^{2}(x)sin(sin(x))cos(x)}{ln^{3}(sin(cos(x)))(sin(cos(x)))cos(sin(x))} - \frac{2sin(x)cos(x)sin(sin(x))cos(x)}{ln^{2}(sin(cos(x)))cos(sin(x))} - \frac{sin^{2}(x)cos(sin(x))cos(x)cos(x)}{ln^{2}(sin(cos(x)))cos(sin(x))} - \frac{sin^{2}(x)sin(sin(x))sin(sin(x))cos(x)cos(x)}{ln^{2}(sin(cos(x)))cos^{2}(sin(x))} - \frac{sin^{2}(x)sin(sin(x))*-sin(x)}{ln^{2}(sin(cos(x)))cos(sin(x))} + \frac{-2cos(cos(x))*-sin(x)sin(sin(x))sin^{2}(x)cos(cos(x))}{ln^{3}(sin(cos(x)))(sin(cos(x)))sin(cos(x))cos(sin(x))} + \frac{cos(sin(x))cos(x)sin^{2}(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))cos(sin(x))} + \frac{sin(sin(x))*2sin(x)cos(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))cos(sin(x))} + \frac{sin(sin(x))sin^{2}(x)*-cos(cos(x))*-sin(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))cos(sin(x))} + \frac{sin(sin(x))sin^{2}(x)sin(sin(x))cos(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))cos^{2}(sin(x))} + \frac{sin(sin(x))sin^{2}(x)*-sin(cos(x))*-sin(x)}{ln^{2}(sin(cos(x)))sin(cos(x))cos(sin(x))} + \frac{4(\frac{(\frac{(-sin(sin(x))cos(x))}{(cos(sin(x)))} - \frac{(cos(cos(x))*-sin(x))log_{sin(cos(x))}^{cos(sin(x))}}{(sin(cos(x)))})}{(ln(sin(cos(x))))})sin(x)cos(x)cos^{2}(cos(x))}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))} + \frac{4log_{sin(cos(x))}^{cos(sin(x))}*-2cos(cos(x))*-sin(x)sin(x)cos(x)cos^{2}(cos(x))}{ln^{3}(sin(cos(x)))(sin(cos(x)))sin^{2}(cos(x))} + \frac{4log_{sin(cos(x))}^{cos(sin(x))}cos(x)cos(x)cos^{2}(cos(x))}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))} + \frac{4log_{sin(cos(x))}^{cos(sin(x))}sin(x)*-2cos(cos(x))*-sin(x)cos(x)cos^{2}(cos(x))}{ln^{2}(sin(cos(x)))sin^{3}(cos(x))} + \frac{4log_{sin(cos(x))}^{cos(sin(x))}sin(x)*-sin(x)cos^{2}(cos(x))}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))} + \frac{4log_{sin(cos(x))}^{cos(sin(x))}sin(x)cos(x)*-2cos(cos(x))sin(cos(x))*-sin(x)}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))} + \frac{2(\frac{(\frac{(-sin(sin(x))cos(x))}{(cos(sin(x)))} - \frac{(cos(cos(x))*-sin(x))log_{sin(cos(x))}^{cos(sin(x))}}{(sin(cos(x)))})}{(ln(sin(cos(x))))})sin(x)cos^{2}(cos(x))cos(x)}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))} + \frac{2log_{sin(cos(x))}^{cos(sin(x))}*-2cos(cos(x))*-sin(x)sin(x)cos^{2}(cos(x))cos(x)}{ln^{3}(sin(cos(x)))(sin(cos(x)))sin^{2}(cos(x))} + \frac{2log_{sin(cos(x))}^{cos(sin(x))}cos(x)cos^{2}(cos(x))cos(x)}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))} + \frac{2log_{sin(cos(x))}^{cos(sin(x))}sin(x)*-2cos(cos(x))*-sin(x)cos^{2}(cos(x))cos(x)}{ln^{2}(sin(cos(x)))sin^{3}(cos(x))} + \frac{2log_{sin(cos(x))}^{cos(sin(x))}sin(x)*-2cos(cos(x))sin(cos(x))*-sin(x)cos(x)}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))} + \frac{2log_{sin(cos(x))}^{cos(sin(x))}sin(x)cos^{2}(cos(x))*-sin(x)}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))} + \frac{(\frac{(\frac{(-sin(sin(x))cos(x))}{(cos(sin(x)))} - \frac{(cos(cos(x))*-sin(x))log_{sin(cos(x))}^{cos(sin(x))}}{(sin(cos(x)))})}{(ln(sin(cos(x))))})sin(x)cos^{2}(cos(x))cos(x)}{ln(sin(cos(x)))sin^{2}(cos(x))} + \frac{log_{sin(cos(x))}^{cos(sin(x))}*-cos(cos(x))*-sin(x)sin(x)cos^{2}(cos(x))cos(x)}{ln^{2}(sin(cos(x)))(sin(cos(x)))sin^{2}(cos(x))} + \frac{log_{sin(cos(x))}^{cos(sin(x))}cos(x)cos^{2}(cos(x))cos(x)}{ln(sin(cos(x)))sin^{2}(cos(x))} + \frac{log_{sin(cos(x))}^{cos(sin(x))}sin(x)*-2cos(cos(x))*-sin(x)cos^{2}(cos(x))cos(x)}{ln(sin(cos(x)))sin^{3}(cos(x))} + \frac{log_{sin(cos(x))}^{cos(sin(x))}sin(x)*-2cos(cos(x))sin(cos(x))*-sin(x)cos(x)}{ln(sin(cos(x)))sin^{2}(cos(x))} + \frac{log_{sin(cos(x))}^{cos(sin(x))}sin(x)cos^{2}(cos(x))*-sin(x)}{ln(sin(cos(x)))sin^{2}(cos(x))} + \frac{2(\frac{(\frac{(-sin(sin(x))cos(x))}{(cos(sin(x)))} - \frac{(cos(cos(x))*-sin(x))log_{sin(cos(x))}^{cos(sin(x))}}{(sin(cos(x)))})}{(ln(sin(cos(x))))})sin(x)cos(x)cos^{2}(cos(x))}{ln(sin(cos(x)))sin^{2}(cos(x))} + \frac{2log_{sin(cos(x))}^{cos(sin(x))}*-cos(cos(x))*-sin(x)sin(x)cos(x)cos^{2}(cos(x))}{ln^{2}(sin(cos(x)))(sin(cos(x)))sin^{2}(cos(x))} + \frac{2log_{sin(cos(x))}^{cos(sin(x))}cos(x)cos(x)cos^{2}(cos(x))}{ln(sin(cos(x)))sin^{2}(cos(x))} + \frac{2log_{sin(cos(x))}^{cos(sin(x))}sin(x)*-2cos(cos(x))*-sin(x)cos(x)cos^{2}(cos(x))}{ln(sin(cos(x)))sin^{3}(cos(x))} + \frac{2log_{sin(cos(x))}^{cos(sin(x))}sin(x)*-sin(x)cos^{2}(cos(x))}{ln(sin(cos(x)))sin^{2}(cos(x))} + \frac{2log_{sin(cos(x))}^{cos(sin(x))}sin(x)cos(x)*-2cos(cos(x))sin(cos(x))*-sin(x)}{ln(sin(cos(x)))sin^{2}(cos(x))} + \frac{6(\frac{(\frac{(-sin(sin(x))cos(x))}{(cos(sin(x)))} - \frac{(cos(cos(x))*-sin(x))log_{sin(cos(x))}^{cos(sin(x))}}{(sin(cos(x)))})}{(ln(sin(cos(x))))})sin^{3}(x)cos^{3}(cos(x))}{ln^{3}(sin(cos(x)))sin^{3}(cos(x))} + \frac{6log_{sin(cos(x))}^{cos(sin(x))}*-3cos(cos(x))*-sin(x)sin^{3}(x)cos^{3}(cos(x))}{ln^{4}(sin(cos(x)))(sin(cos(x)))sin^{3}(cos(x))} + \frac{6log_{sin(cos(x))}^{cos(sin(x))}*3sin^{2}(x)cos(x)cos^{3}(cos(x))}{ln^{3}(sin(cos(x)))sin^{3}(cos(x))} + \frac{6log_{sin(cos(x))}^{cos(sin(x))}sin^{3}(x)*-3cos(cos(x))*-sin(x)cos^{3}(cos(x))}{ln^{3}(sin(cos(x)))sin^{4}(cos(x))} + \frac{6log_{sin(cos(x))}^{cos(sin(x))}sin^{3}(x)*-3cos^{2}(cos(x))sin(cos(x))*-sin(x)}{ln^{3}(sin(cos(x)))sin^{3}(cos(x))} + \frac{4(\frac{(\frac{(-sin(sin(x))cos(x))}{(cos(sin(x)))} - \frac{(cos(cos(x))*-sin(x))log_{sin(cos(x))}^{cos(sin(x))}}{(sin(cos(x)))})}{(ln(sin(cos(x))))})sin^{3}(x)cos^{3}(cos(x))}{ln^{2}(sin(cos(x)))sin^{3}(cos(x))} + \frac{4log_{sin(cos(x))}^{cos(sin(x))}*-2cos(cos(x))*-sin(x)sin^{3}(x)cos^{3}(cos(x))}{ln^{3}(sin(cos(x)))(sin(cos(x)))sin^{3}(cos(x))} + \frac{4log_{sin(cos(x))}^{cos(sin(x))}*-3cos(cos(x))*-sin(x)sin^{3}(x)cos^{3}(cos(x))}{ln^{2}(sin(cos(x)))sin^{4}(cos(x))} + \frac{4log_{sin(cos(x))}^{cos(sin(x))}*3sin^{2}(x)cos(x)cos^{3}(cos(x))}{ln^{2}(sin(cos(x)))sin^{3}(cos(x))} + \frac{4log_{sin(cos(x))}^{cos(sin(x))}sin^{3}(x)*-3cos^{2}(cos(x))sin(cos(x))*-sin(x)}{ln^{2}(sin(cos(x)))sin^{3}(cos(x))} + \frac{4(\frac{(\frac{(-sin(sin(x))cos(x))}{(cos(sin(x)))} - \frac{(cos(cos(x))*-sin(x))log_{sin(cos(x))}^{cos(sin(x))}}{(sin(cos(x)))})}{(ln(sin(cos(x))))})sin^{3}(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))} + \frac{4log_{sin(cos(x))}^{cos(sin(x))}*-2cos(cos(x))*-sin(x)sin^{3}(x)cos(cos(x))}{ln^{3}(sin(cos(x)))(sin(cos(x)))sin(cos(x))} + \frac{4log_{sin(cos(x))}^{cos(sin(x))}*-cos(cos(x))*-sin(x)sin^{3}(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))} + \frac{4log_{sin(cos(x))}^{cos(sin(x))}*3sin^{2}(x)cos(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))} + \frac{4log_{sin(cos(x))}^{cos(sin(x))}sin^{3}(x)*-sin(cos(x))*-sin(x)}{ln^{2}(sin(cos(x)))sin(cos(x))} + \frac{2(\frac{(\frac{(-sin(sin(x))cos(x))}{(cos(sin(x)))} - \frac{(cos(cos(x))*-sin(x))log_{sin(cos(x))}^{cos(sin(x))}}{(sin(cos(x)))})}{(ln(sin(cos(x))))})sin^{3}(x)cos^{3}(cos(x))}{ln(sin(cos(x)))sin^{3}(cos(x))} + \frac{2log_{sin(cos(x))}^{cos(sin(x))}*-cos(cos(x))*-sin(x)sin^{3}(x)cos^{3}(cos(x))}{ln^{2}(sin(cos(x)))(sin(cos(x)))sin^{3}(cos(x))} + \frac{2log_{sin(cos(x))}^{cos(sin(x))}*3sin^{2}(x)cos(x)cos^{3}(cos(x))}{ln(sin(cos(x)))sin^{3}(cos(x))} + \frac{2log_{sin(cos(x))}^{cos(sin(x))}sin^{3}(x)*-3cos(cos(x))*-sin(x)cos^{3}(cos(x))}{ln(sin(cos(x)))sin^{4}(cos(x))} + \frac{2log_{sin(cos(x))}^{cos(sin(x))}sin^{3}(x)*-3cos^{2}(cos(x))sin(cos(x))*-sin(x)}{ln(sin(cos(x)))sin^{3}(cos(x))} + \frac{-2cos(cos(x))*-sin(x)sin^{2}(x)sin(sin(x))cos(cos(x))}{ln^{3}(sin(cos(x)))(sin(cos(x)))sin(cos(x))cos(sin(x))} + \frac{2sin(x)cos(x)sin(sin(x))cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))cos(sin(x))} + \frac{sin^{2}(x)*-cos(cos(x))*-sin(x)sin(sin(x))cos(cos(x))}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))cos(sin(x))} + \frac{sin^{2}(x)cos(sin(x))cos(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))cos(sin(x))} + \frac{sin^{2}(x)sin(sin(x))*-sin(cos(x))*-sin(x)}{ln^{2}(sin(cos(x)))sin(cos(x))cos(sin(x))} + \frac{sin^{2}(x)sin(sin(x))cos(cos(x))sin(sin(x))cos(x)}{ln^{2}(sin(cos(x)))sin(cos(x))cos^{2}(sin(x))} + \frac{2(\frac{(\frac{(-sin(sin(x))cos(x))}{(cos(sin(x)))} - \frac{(cos(cos(x))*-sin(x))log_{sin(cos(x))}^{cos(sin(x))}}{(sin(cos(x)))})}{(ln(sin(cos(x))))})sin^{3}(x)cos^{3}(cos(x))}{ln^{2}(sin(cos(x)))sin^{3}(cos(x))} + \frac{2log_{sin(cos(x))}^{cos(sin(x))}*-2cos(cos(x))*-sin(x)sin^{3}(x)cos^{3}(cos(x))}{ln^{3}(sin(cos(x)))(sin(cos(x)))sin^{3}(cos(x))} + \frac{2log_{sin(cos(x))}^{cos(sin(x))}*3sin^{2}(x)cos(x)cos^{3}(cos(x))}{ln^{2}(sin(cos(x)))sin^{3}(cos(x))} + \frac{2log_{sin(cos(x))}^{cos(sin(x))}sin^{3}(x)*-3cos(cos(x))*-sin(x)cos^{3}(cos(x))}{ln^{2}(sin(cos(x)))sin^{4}(cos(x))} + \frac{2log_{sin(cos(x))}^{cos(sin(x))}sin^{3}(x)*-3cos^{2}(cos(x))sin(cos(x))*-sin(x)}{ln^{2}(sin(cos(x)))sin^{3}(cos(x))} + \frac{3(\frac{(\frac{(-sin(sin(x))cos(x))}{(cos(sin(x)))} - \frac{(cos(cos(x))*-sin(x))log_{sin(cos(x))}^{cos(sin(x))}}{(sin(cos(x)))})}{(ln(sin(cos(x))))})sin(x)cos(x)}{ln(sin(cos(x)))} + \frac{3log_{sin(cos(x))}^{cos(sin(x))}*-cos(cos(x))*-sin(x)sin(x)cos(x)}{ln^{2}(sin(cos(x)))(sin(cos(x)))} + \frac{3log_{sin(cos(x))}^{cos(sin(x))}cos(x)cos(x)}{ln(sin(cos(x)))} + \frac{3log_{sin(cos(x))}^{cos(sin(x))}sin(x)*-sin(x)}{ln(sin(cos(x)))} - \frac{(\frac{(\frac{(-sin(sin(x))cos(x))}{(cos(sin(x)))} - \frac{(cos(cos(x))*-sin(x))log_{sin(cos(x))}^{cos(sin(x))}}{(sin(cos(x)))})}{(ln(sin(cos(x))))})sin(x)cos(cos(x))}{ln(sin(cos(x)))sin(cos(x))} - \frac{log_{sin(cos(x))}^{cos(sin(x))}*-cos(cos(x))*-sin(x)sin(x)cos(cos(x))}{ln^{2}(sin(cos(x)))(sin(cos(x)))sin(cos(x))} - \frac{log_{sin(cos(x))}^{cos(sin(x))}cos(x)cos(cos(x))}{ln(sin(cos(x)))sin(cos(x))} - \frac{log_{sin(cos(x))}^{cos(sin(x))}sin(x)*-cos(cos(x))*-sin(x)cos(cos(x))}{ln(sin(cos(x)))sin^{2}(cos(x))} - \frac{log_{sin(cos(x))}^{cos(sin(x))}sin(x)*-sin(cos(x))*-sin(x)}{ln(sin(cos(x)))sin(cos(x))} + \frac{2(\frac{(\frac{(-sin(sin(x))cos(x))}{(cos(sin(x)))} - \frac{(cos(cos(x))*-sin(x))log_{sin(cos(x))}^{cos(sin(x))}}{(sin(cos(x)))})}{(ln(sin(cos(x))))})sin^{3}(x)cos(cos(x))}{ln(sin(cos(x)))sin(cos(x))} + \frac{2log_{sin(cos(x))}^{cos(sin(x))}*-cos(cos(x))*-sin(x)sin^{3}(x)cos(cos(x))}{ln^{2}(sin(cos(x)))(sin(cos(x)))sin(cos(x))} + \frac{2log_{sin(cos(x))}^{cos(sin(x))}*3sin^{2}(x)cos(x)cos(cos(x))}{ln(sin(cos(x)))sin(cos(x))} + \frac{2log_{sin(cos(x))}^{cos(sin(x))}sin^{3}(x)*-cos(cos(x))*-sin(x)cos(cos(x))}{ln(sin(cos(x)))sin^{2}(cos(x))} + \frac{2log_{sin(cos(x))}^{cos(sin(x))}sin^{3}(x)*-sin(cos(x))*-sin(x)}{ln(sin(cos(x)))sin(cos(x))} - \frac{-2cos(cos(x))*-sin(x)sin(sin(x))sin^{2}(x)cos(x)}{ln^{3}(sin(cos(x)))(sin(cos(x)))cos(sin(x))} - \frac{cos(sin(x))cos(x)sin^{2}(x)cos(x)}{ln^{2}(sin(cos(x)))cos(sin(x))} - \frac{sin(sin(x))*2sin(x)cos(x)cos(x)}{ln^{2}(sin(cos(x)))cos(sin(x))} - \frac{sin(sin(x))sin^{2}(x)*-sin(x)}{ln^{2}(sin(cos(x)))cos(sin(x))} - \frac{sin(sin(x))sin^{2}(x)cos(x)sin(sin(x))cos(x)}{ln^{2}(sin(cos(x)))cos^{2}(sin(x))} + \frac{2(\frac{(\frac{(-sin(sin(x))cos(x))}{(cos(sin(x)))} - \frac{(cos(cos(x))*-sin(x))log_{sin(cos(x))}^{cos(sin(x))}}{(sin(cos(x)))})}{(ln(sin(cos(x))))})sin^{3}(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))} + \frac{2log_{sin(cos(x))}^{cos(sin(x))}*-2cos(cos(x))*-sin(x)sin^{3}(x)cos(cos(x))}{ln^{3}(sin(cos(x)))(sin(cos(x)))sin(cos(x))} + \frac{2log_{sin(cos(x))}^{cos(sin(x))}*3sin^{2}(x)cos(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))} + \frac{2log_{sin(cos(x))}^{cos(sin(x))}sin^{3}(x)*-cos(cos(x))*-sin(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))} + \frac{2log_{sin(cos(x))}^{cos(sin(x))}sin^{3}(x)*-sin(cos(x))*-sin(x)}{ln^{2}(sin(cos(x)))sin(cos(x))}\\=&\frac{-18sin^{3}(x)sin(sin(x))cos^{3}(cos(x))cos(x)}{ln^{4}(sin(cos(x)))sin^{3}(cos(x))cos(sin(x))} - \frac{8sin(x)sin(sin(x))cos^{2}(x)cos^{2}(cos(x))}{ln^{3}(sin(cos(x)))sin^{2}(cos(x))cos(sin(x))} - \frac{8sin^{3}(x)sin(sin(x))cos^{3}(cos(x))cos(x)}{ln^{3}(sin(cos(x)))sin^{3}(cos(x))cos(sin(x))} - \frac{2sin^{2}(sin(x))cos^{3}(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))cos^{2}(sin(x))} - \frac{8sin(sin(x))sin^{3}(x)cos(cos(x))cos(x)}{ln^{3}(sin(cos(x)))sin(cos(x))cos(sin(x))} - \frac{4sin^{2}(x)sin^{2}(sin(x))cos^{2}(x)cos^{2}(cos(x))}{ln^{3}(sin(cos(x)))sin^{2}(cos(x))cos^{2}(sin(x))} + \frac{2sin^{2}(x)sin^{2}(sin(x))cos(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))cos^{2}(sin(x))} - \frac{6sin(x)sin(sin(x))cos^{2}(cos(x))cos^{2}(x)}{ln^{3}(sin(cos(x)))sin^{2}(cos(x))cos(sin(x))} - \frac{sin(x)sin(sin(x))cos^{2}(cos(x))cos^{2}(x)}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))cos(sin(x))} - \frac{6cos^{3}(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))} - \frac{2sin(x)sin(sin(x))cos^{2}(x)cos^{2}(cos(x))}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))cos(sin(x))} - \frac{2sin^{3}(x)sin(sin(x))cos^{3}(cos(x))cos(x)}{ln^{2}(sin(cos(x)))sin^{3}(cos(x))cos(sin(x))} - \frac{2sin(x)sin(sin(x))cos^{3}(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))cos(sin(x))} - \frac{6sin^{3}(x)sin(sin(x))cos^{3}(cos(x))cos(x)}{ln^{3}(sin(cos(x)))sin^{3}(cos(x))cos(sin(x))} - \frac{sin^{2}(sin(x))sin^{2}(x)cos^{2}(cos(x))cos^{2}(x)}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))cos^{2}(sin(x))} - \frac{2sin(x)sin(sin(x))cos^{2}(x)cos^{2}(cos(x))}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))cos(sin(x))} - \frac{2sin^{2}(sin(x))cos^{3}(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))cos^{2}(sin(x))} - \frac{2sin^{3}(x)sin(sin(x))cos(cos(x))cos(x)}{ln^{2}(sin(cos(x)))sin(cos(x))cos(sin(x))} - \frac{sin^{2}(sin(x))sin^{2}(x)cos^{2}(x)cos^{2}(cos(x))}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))cos^{2}(sin(x))} + \frac{2sin^{2}(sin(x))sin^{2}(x)cos(cos(x))cos(x)}{ln^{2}(sin(cos(x)))sin(cos(x))cos^{2}(sin(x))} - \frac{2sin(x)sin(sin(x))cos^{2}(cos(x))cos^{2}(x)}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))cos(sin(x))} - \frac{4sin(x)sin(sin(x))cos^{2}(x)cos^{2}(cos(x))}{ln^{3}(sin(cos(x)))sin^{2}(cos(x))cos(sin(x))} - \frac{2sin(sin(x))sin(x)cos^{3}(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))cos(sin(x))} - \frac{sin^{2}(x)sin^{2}(sin(x))cos^{2}(cos(x))cos^{2}(x)}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))cos^{2}(sin(x))} - \frac{4sin^{3}(x)sin(sin(x))cos(cos(x))cos(x)}{ln^{3}(sin(cos(x)))sin(cos(x))cos(sin(x))} - \frac{6sin^{2}(sin(x))cos^{4}(x)}{ln(sin(cos(x)))cos^{2}(sin(x))} - \frac{sin^{2}(sin(x))cos^{3}(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))cos^{2}(sin(x))} - \frac{2sin(sin(x))sin(x)cos^{3}(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))cos(sin(x))} - \frac{2sin(sin(x))sin(x)cos^{2}(x)cos^{2}(cos(x))}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))cos(sin(x))} - \frac{2sin^{2}(x)sin^{2}(sin(x))cos^{2}(cos(x))cos^{2}(x)}{ln^{3}(sin(cos(x)))sin^{2}(cos(x))cos^{2}(sin(x))} - \frac{sin^{2}(sin(x))cos(cos(x))cos^{3}(x)}{ln^{2}(sin(cos(x)))sin(cos(x))cos^{2}(sin(x))} - \frac{2sin^{2}(x)cos^{2}(x)cos^{2}(cos(x))}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))} - \frac{2sin(sin(x))sin^{3}(x)cos^{3}(cos(x))cos(x)}{ln^{2}(sin(cos(x)))sin^{3}(cos(x))cos(sin(x))} - \frac{2sin(x)sin^{3}(sin(x))cos^{3}(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))cos^{3}(sin(x))} + \frac{3sin^{2}(sin(x))sin^{2}(x)cos(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))cos^{2}(sin(x))} - \frac{2sin(sin(x))sin^{3}(x)cos(cos(x))cos(x)}{ln^{2}(sin(cos(x)))sin(cos(x))cos(sin(x))} - \frac{4sin^{2}(x)sin^{2}(sin(x))cos^{2}(cos(x))cos^{2}(x)}{ln^{3}(sin(cos(x)))sin^{2}(cos(x))cos^{2}(sin(x))} - \frac{sin^{2}(x)cos^{2}(x)cos^{2}(cos(x))}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))} - \frac{sin^{2}(x)sin^{2}(sin(x))cos^{2}(cos(x))cos^{2}(x)}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))cos^{2}(sin(x))} - \frac{6sin^{2}(x)cos^{2}(x)cos^{2}(cos(x))}{ln^{3}(sin(cos(x)))sin^{2}(cos(x))} - \frac{4sin^{3}(x)sin(sin(x))cos(cos(x))cos(x)}{ln^{3}(sin(cos(x)))sin(cos(x))cos(sin(x))} - \frac{2sin(x)sin^{3}(sin(x))cos^{3}(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))cos^{3}(sin(x))} - \frac{4sin^{3}(x)sin(sin(x))cos^{3}(cos(x))cos(x)}{ln^{3}(sin(cos(x)))sin^{3}(cos(x))cos(sin(x))} - \frac{6sin^{2}(x)cos^{2}(cos(x))cos^{2}(x)}{ln^{3}(sin(cos(x)))sin^{2}(cos(x))} - \frac{3sin^{2}(x)cos^{2}(cos(x))cos^{2}(x)}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))} + \frac{4sin(sin(x))sin(x)cos(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))cos(sin(x))} - \frac{2sin(x)sin(sin(x))cos(cos(x))cos^{3}(x)}{ln^{2}(sin(cos(x)))sin(cos(x))cos(sin(x))} + \frac{2sin(x)sin(sin(x))cos(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))cos(sin(x))} - \frac{2cos^{4}(x)}{ln(sin(cos(x)))} + \frac{2sin(sin(x))sin(x)cos^{2}(x)}{ln(sin(cos(x)))cos(sin(x))} - \frac{2sin^{3}(x)sin(sin(x))cos^{3}(cos(x))cos(x)}{ln^{2}(sin(cos(x)))sin^{3}(cos(x))cos(sin(x))} - \frac{2sin^{3}(x)sin(sin(x))cos(cos(x))cos(x)}{ln^{2}(sin(cos(x)))sin(cos(x))cos(sin(x))} - \frac{sin^{2}(x)sin^{2}(sin(x))cos^{2}(x)cos^{2}(cos(x))}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))cos^{2}(sin(x))} - \frac{2sin(x)sin^{3}(sin(x))cos(cos(x))cos^{3}(x)}{ln^{2}(sin(cos(x)))sin(cos(x))cos^{3}(sin(x))} + \frac{sin(x)sin(sin(x))cos(cos(x))cos(x)}{ln^{2}(sin(cos(x)))sin(cos(x))cos(sin(x))} - \frac{2sin^{3}(sin(x))sin(x)cos^{3}(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))cos^{3}(sin(x))} + \frac{sin^{2}(sin(x))cos^{2}(x)}{ln(sin(cos(x)))cos^{2}(sin(x))} + \frac{10sin(x)sin(sin(x))cos^{2}(x)}{ln(sin(cos(x)))cos(sin(x))} + \frac{sin^{2}(x)cos(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))} + \frac{2sin(x)sin(sin(x))cos(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))cos(sin(x))} + \frac{4cos^{2}(x)}{ln(sin(cos(x)))} + \frac{6sin^{2}(x)cos(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))} - \frac{2sin^{2}(sin(x))cos^{4}(x)}{ln(sin(cos(x)))cos^{2}(sin(x))} - \frac{3sin^{2}(sin(x))sin^{2}(x)cos^{2}(x)}{ln^{2}(sin(cos(x)))cos^{2}(sin(x))} + \frac{3sin^{2}(x)sin^{2}(sin(x))cos(cos(x))cos(x)}{ln^{2}(sin(cos(x)))sin(cos(x))cos^{2}(sin(x))} + \frac{2sin(x)sin(sin(x))cos(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))cos(sin(x))} + \frac{2sin(x)sin(sin(x))cos(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))cos(sin(x))} - \frac{sin^{2}(x)sin^{2}(sin(x))cos^{2}(x)}{ln^{2}(sin(cos(x)))cos^{2}(sin(x))} + \frac{5sin^{2}(x)cos(cos(x))cos(x)}{ln^{2}(sin(cos(x)))sin(cos(x))} - \frac{2sin^{2}(sin(x))sin^{2}(x)cos^{2}(x)cos^{2}(cos(x))}{ln^{3}(sin(cos(x)))sin^{2}(cos(x))cos^{2}(sin(x))} - \frac{sin^{2}(sin(x))sin^{2}(x)cos^{2}(x)cos^{2}(cos(x))}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))cos^{2}(sin(x))} + \frac{3sin^{2}(sin(x))cos^{2}(x)}{ln(sin(cos(x)))cos^{2}(sin(x))} - \frac{6sin^{4}(sin(x))cos^{4}(x)}{ln(sin(cos(x)))cos^{4}(sin(x))} + \frac{sin^{2}(sin(x))sin^{2}(x)cos(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))cos^{2}(sin(x))} + \frac{6sin^{3}(sin(x))sin(x)cos^{2}(x)}{ln(sin(cos(x)))cos^{3}(sin(x))} - \frac{6sin^{2}(x)cos^{2}(x)}{ln^{2}(sin(cos(x)))} + \frac{sin^{2}(x)sin^{2}(sin(x))cos(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))cos^{2}(sin(x))} - \frac{2sin^{3}(x)sin(sin(x))cos(cos(x))cos(x)}{ln^{3}(sin(cos(x)))sin(cos(x))cos(sin(x))} - \frac{6sin(sin(x))sin(x)cos^{2}(x)cos^{2}(cos(x))}{ln^{3}(sin(cos(x)))sin^{2}(cos(x))cos(sin(x))} - \frac{3sin(sin(x))sin(x)cos^{2}(x)cos^{2}(cos(x))}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))cos(sin(x))} - \frac{6sin(sin(x))sin^{3}(x)cos(x)cos^{3}(cos(x))}{ln^{4}(sin(cos(x)))sin^{3}(cos(x))cos(sin(x))} - \frac{6sin(x)sin(sin(x))cos^{2}(x)}{ln^{2}(sin(cos(x)))cos(sin(x))} - \frac{6sin(sin(x))sin(x)cos^{2}(x)}{ln^{2}(sin(cos(x)))cos(sin(x))} - \frac{4sin(sin(x))sin^{3}(x)cos(x)cos^{3}(cos(x))}{ln^{3}(sin(cos(x)))sin^{3}(cos(x))cos(sin(x))} - \frac{4sin(sin(x))sin^{3}(x)cos(x)cos(cos(x))}{ln^{3}(sin(cos(x)))sin(cos(x))cos(sin(x))} - \frac{2sin^{2}(sin(x))sin^{2}(x)cos^{2}(x)}{ln^{2}(sin(cos(x)))cos^{2}(sin(x))} - \frac{2sin(sin(x))sin^{3}(x)cos(x)cos^{3}(cos(x))}{ln^{2}(sin(cos(x)))sin^{3}(cos(x))cos(sin(x))} + \frac{6sin(x)sin^{3}(sin(x))cos^{2}(x)}{ln(sin(cos(x)))cos^{3}(sin(x))} + \frac{2sin^{3}(x)sin(sin(x))}{ln^{2}(sin(cos(x)))cos(sin(x))} + \frac{4sin(sin(x))sin^{3}(x)}{ln^{2}(sin(cos(x)))cos(sin(x))} - \frac{sin^{2}(sin(x))sin^{2}(x)}{ln(sin(cos(x)))cos^{2}(sin(x))} - \frac{2sin^{2}(x)sin^{2}(sin(x))}{ln(sin(cos(x)))cos^{2}(sin(x))} - \frac{2sin(sin(x))sin^{3}(x)cos(x)cos^{3}(cos(x))}{ln^{3}(sin(cos(x)))sin^{3}(cos(x))cos(sin(x))} + \frac{sin(sin(x))sin(x)cos(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))cos(sin(x))} + \frac{18log_{sin(cos(x))}^{cos(sin(x))}sin^{2}(x)cos^{3}(cos(x))cos(x)}{ln^{3}(sin(cos(x)))sin^{3}(cos(x))} + \frac{6log_{sin(cos(x))}^{cos(sin(x))}cos^{2}(x)cos^{2}(cos(x))}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))} + \frac{12log_{sin(cos(x))}^{cos(sin(x))}sin^{2}(x)cos^{3}(cos(x))cos(x)}{ln^{2}(sin(cos(x)))sin^{3}(cos(x))} + \frac{12log_{sin(cos(x))}^{cos(sin(x))}sin^{2}(x)cos(cos(x))cos(x)}{ln^{2}(sin(cos(x)))sin(cos(x))} + \frac{6log_{sin(cos(x))}^{cos(sin(x))}sin^{2}(x)cos^{3}(cos(x))cos(x)}{ln^{2}(sin(cos(x)))sin^{3}(cos(x))} - \frac{2sin(sin(x))sin^{3}(x)cos(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))cos(sin(x))} + \frac{6log_{sin(cos(x))}^{cos(sin(x))}sin^{2}(x)cos^{3}(cos(x))cos(x)}{ln(sin(cos(x)))sin^{3}(cos(x))} + \frac{3log_{sin(cos(x))}^{cos(sin(x))}cos^{2}(x)cos^{2}(cos(x))}{ln(sin(cos(x)))sin^{2}(cos(x))} + \frac{6log_{sin(cos(x))}^{cos(sin(x))}sin^{2}(x)cos(cos(x))cos(x)}{ln(sin(cos(x)))sin(cos(x))} + \frac{18log_{sin(cos(x))}^{cos(sin(x))}sin^{2}(x)cos(x)cos^{3}(cos(x))}{ln^{3}(sin(cos(x)))sin^{3}(cos(x))} + \frac{18log_{sin(cos(x))}^{cos(sin(x))}sin^{2}(x)cos(x)cos^{3}(cos(x))}{ln^{2}(sin(cos(x)))sin^{3}(cos(x))} - \frac{2sin(sin(x))sin^{3}(x)cos(x)cos(cos(x))}{ln^{3}(sin(cos(x)))sin(cos(x))cos(sin(x))} + \frac{18log_{sin(cos(x))}^{cos(sin(x))}sin^{2}(x)cos(x)cos(cos(x))}{ln^{2}(sin(cos(x)))sin(cos(x))} + \frac{6log_{sin(cos(x))}^{cos(sin(x))}sin^{2}(x)cos(x)cos^{3}(cos(x))}{ln(sin(cos(x)))sin^{3}(cos(x))} + \frac{6log_{sin(cos(x))}^{cos(sin(x))}sin^{2}(x)cos(cos(x))cos(x)}{ln^{2}(sin(cos(x)))sin(cos(x))} + \frac{6log_{sin(cos(x))}^{cos(sin(x))}sin^{2}(x)cos(x)cos(cos(x))}{ln(sin(cos(x)))sin(cos(x))} + \frac{24log_{sin(cos(x))}^{cos(sin(x))}sin^{4}(x)cos^{4}(cos(x))}{ln^{4}(sin(cos(x)))sin^{4}(cos(x))} + \frac{sin^{3}(x)sin(sin(x))cos^{2}(cos(x))}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))cos(sin(x))} + \frac{18log_{sin(cos(x))}^{cos(sin(x))}sin^{4}(x)cos^{4}(cos(x))}{ln^{3}(sin(cos(x)))sin^{4}(cos(x))} + \frac{16log_{sin(cos(x))}^{cos(sin(x))}sin^{4}(x)cos^{4}(cos(x))}{ln^{2}(sin(cos(x)))sin^{4}(cos(x))} - \frac{3log_{sin(cos(x))}^{cos(sin(x))}sin^{2}(x)cos^{2}(cos(x))}{ln(sin(cos(x)))sin^{2}(cos(x))} + \frac{20log_{sin(cos(x))}^{cos(sin(x))}sin^{4}(x)cos^{2}(cos(x))}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))} + \frac{sin^{3}(x)sin(sin(x))cos^{2}(cos(x))}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))cos(sin(x))} + \frac{18log_{sin(cos(x))}^{cos(sin(x))}sin^{4}(x)cos^{2}(cos(x))}{ln^{3}(sin(cos(x)))sin^{2}(cos(x))} + \frac{8log_{sin(cos(x))}^{cos(sin(x))}sin^{4}(x)cos^{2}(cos(x))}{ln(sin(cos(x)))sin^{2}(cos(x))} + \frac{6sin^{3}(x)sin(sin(x))cos^{2}(cos(x))}{ln^{3}(sin(cos(x)))sin^{2}(cos(x))cos(sin(x))} - \frac{8log_{sin(cos(x))}^{cos(sin(x))}sin^{2}(x)cos^{2}(cos(x))}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))} + \frac{6log_{sin(cos(x))}^{cos(sin(x))}sin^{4}(x)cos^{4}(cos(x))}{ln(sin(cos(x)))sin^{4}(cos(x))} + \frac{8log_{sin(cos(x))}^{cos(sin(x))}sin^{4}(x)cos^{2}(cos(x))}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))} - \frac{sin(x)sin(sin(x))}{ln(sin(cos(x)))cos(sin(x))} + \frac{sin(sin(x))sin^{3}(x)cos^{2}(cos(x))}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))cos(sin(x))} + \frac{4sin(sin(x))sin^{3}(x)cos^{2}(cos(x))}{ln^{3}(sin(cos(x)))sin^{2}(cos(x))cos(sin(x))} + \frac{6log_{sin(cos(x))}^{cos(sin(x))}sin^{4}(x)cos^{4}(cos(x))}{ln^{2}(sin(cos(x)))sin^{4}(cos(x))} + \frac{18log_{sin(cos(x))}^{cos(sin(x))}sin^{4}(x)cos^{4}(cos(x))}{ln^{3}(sin(cos(x)))sin^{4}(cos(x))} + \frac{18log_{sin(cos(x))}^{cos(sin(x))}sin^{4}(x)cos^{2}(cos(x))}{ln^{3}(sin(cos(x)))sin^{2}(cos(x))} + \frac{3log_{sin(cos(x))}^{cos(sin(x))}cos^{2}(x)}{ln(sin(cos(x)))} - \frac{log_{sin(cos(x))}^{cos(sin(x))}cos(x)cos(cos(x))}{ln(sin(cos(x)))sin(cos(x))} + \frac{2sin(sin(x))sin^{3}(x)cos^{2}(cos(x))}{ln^{3}(sin(cos(x)))sin^{2}(cos(x))cos(sin(x))} - \frac{log_{sin(cos(x))}^{cos(sin(x))}sin^{2}(x)cos^{2}(cos(x))}{ln(sin(cos(x)))sin^{2}(cos(x))} + \frac{6log_{sin(cos(x))}^{cos(sin(x))}sin^{4}(x)}{ln^{2}(sin(cos(x)))} - \frac{4log_{sin(cos(x))}^{cos(sin(x))}sin^{2}(x)}{ln(sin(cos(x)))} + \frac{sin^{3}(x)sin(sin(x))cos^{2}(cos(x))}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))cos(sin(x))} + \frac{2log_{sin(cos(x))}^{cos(sin(x))}sin^{4}(x)}{ln(sin(cos(x)))} + \frac{sin^{3}(x)sin(sin(x))cos^{2}(cos(x))}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))cos(sin(x))} + \frac{sin^{3}(x)sin(sin(x))cos^{2}(cos(x))}{ln^{2}(sin(cos(x)))sin^{2}(cos(x))cos(sin(x))} - \frac{3sin^{2}(x)}{ln(sin(cos(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!