数学
         
语言:中文    Language:English
求导函数:
    输入一个原函数(即需要求导的函数),然后设置需要求导的变量和求导的阶数,点击“下一步”按钮,即可获得该函数相应阶数的导函数。
    注意,输入的函数支持数学函数和其它常量。
    当前位置:求导函数 > 导函数计算历史 > 答案

    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。
\[ \begin{equation}\begin{split}【1/1】求函数sin(x){cos(x)}^{sin(cos(x))} 关于 x 的 4 阶导数:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = {cos(x)}^{sin(cos(x))}sin(x)\\&\color{blue}{函数的第 1 阶导数:}\\&\frac{d\left( {cos(x)}^{sin(cos(x))}sin(x)\right)}{dx}\\=&({cos(x)}^{sin(cos(x))}((cos(cos(x))*-sin(x))ln(cos(x)) + \frac{(sin(cos(x)))(-sin(x))}{(cos(x))}))sin(x) + {cos(x)}^{sin(cos(x))}cos(x)\\=&-{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{2}(x)cos(cos(x)) - \frac{{cos(x)}^{sin(cos(x))}sin^{2}(x)sin(cos(x))}{cos(x)} + {cos(x)}^{sin(cos(x))}cos(x)\\\\ &\color{blue}{函数的第 2 阶导数:} \\&\frac{d\left( -{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{2}(x)cos(cos(x)) - \frac{{cos(x)}^{sin(cos(x))}sin^{2}(x)sin(cos(x))}{cos(x)} + {cos(x)}^{sin(cos(x))}cos(x)\right)}{dx}\\=&-({cos(x)}^{sin(cos(x))}((cos(cos(x))*-sin(x))ln(cos(x)) + \frac{(sin(cos(x)))(-sin(x))}{(cos(x))}))ln(cos(x))sin^{2}(x)cos(cos(x)) - \frac{{cos(x)}^{sin(cos(x))}*-sin(x)sin^{2}(x)cos(cos(x))}{(cos(x))} - {cos(x)}^{sin(cos(x))}ln(cos(x))*2sin(x)cos(x)cos(cos(x)) - {cos(x)}^{sin(cos(x))}ln(cos(x))sin^{2}(x)*-sin(cos(x))*-sin(x) - \frac{({cos(x)}^{sin(cos(x))}((cos(cos(x))*-sin(x))ln(cos(x)) + \frac{(sin(cos(x)))(-sin(x))}{(cos(x))}))sin^{2}(x)sin(cos(x))}{cos(x)} - \frac{{cos(x)}^{sin(cos(x))}*2sin(x)cos(x)sin(cos(x))}{cos(x)} - \frac{{cos(x)}^{sin(cos(x))}sin^{2}(x)cos(cos(x))*-sin(x)}{cos(x)} - \frac{{cos(x)}^{sin(cos(x))}sin^{2}(x)sin(cos(x))sin(x)}{cos^{2}(x)} + ({cos(x)}^{sin(cos(x))}((cos(cos(x))*-sin(x))ln(cos(x)) + \frac{(sin(cos(x)))(-sin(x))}{(cos(x))}))cos(x) + {cos(x)}^{sin(cos(x))}*-sin(x)\\=& - 2{cos(x)}^{sin(cos(x))}ln(cos(x))sin(x)cos(x)cos(cos(x)) + \frac{{cos(x)}^{sin(cos(x))}ln(cos(x))sin(cos(x))sin^{3}(x)cos(cos(x))}{cos(x)} + \frac{{cos(x)}^{sin(cos(x))}sin^{3}(x)cos(cos(x))}{cos(x)} - {cos(x)}^{sin(cos(x))}ln(cos(x))sin(x)cos(cos(x))cos(x) + \frac{{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{3}(x)sin(cos(x))cos(cos(x))}{cos(x)} - {cos(x)}^{sin(cos(x))}ln(cos(x))sin(cos(x))sin^{3}(x) + \frac{{cos(x)}^{sin(cos(x))}sin^{3}(x)sin^{2}(cos(x))}{cos^{2}(x)} - \frac{{cos(x)}^{sin(cos(x))}sin^{3}(x)sin(cos(x))}{cos^{2}(x)} + \frac{{cos(x)}^{sin(cos(x))}sin^{3}(x)cos(cos(x))}{cos(x)} - 3{cos(x)}^{sin(cos(x))}sin(x)sin(cos(x)) + {cos(x)}^{sin(cos(x))}ln^{2}(cos(x))sin^{3}(x)cos^{2}(cos(x)) - {cos(x)}^{sin(cos(x))}sin(x)\\\\ &\color{blue}{函数的第 3 阶导数:} \\&\frac{d\left( - 2{cos(x)}^{sin(cos(x))}ln(cos(x))sin(x)cos(x)cos(cos(x)) + \frac{{cos(x)}^{sin(cos(x))}ln(cos(x))sin(cos(x))sin^{3}(x)cos(cos(x))}{cos(x)} + \frac{{cos(x)}^{sin(cos(x))}sin^{3}(x)cos(cos(x))}{cos(x)} - {cos(x)}^{sin(cos(x))}ln(cos(x))sin(x)cos(cos(x))cos(x) + \frac{{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{3}(x)sin(cos(x))cos(cos(x))}{cos(x)} - {cos(x)}^{sin(cos(x))}ln(cos(x))sin(cos(x))sin^{3}(x) + \frac{{cos(x)}^{sin(cos(x))}sin^{3}(x)sin^{2}(cos(x))}{cos^{2}(x)} - \frac{{cos(x)}^{sin(cos(x))}sin^{3}(x)sin(cos(x))}{cos^{2}(x)} + \frac{{cos(x)}^{sin(cos(x))}sin^{3}(x)cos(cos(x))}{cos(x)} - 3{cos(x)}^{sin(cos(x))}sin(x)sin(cos(x)) + {cos(x)}^{sin(cos(x))}ln^{2}(cos(x))sin^{3}(x)cos^{2}(cos(x)) - {cos(x)}^{sin(cos(x))}sin(x)\right)}{dx}\\=& - 2({cos(x)}^{sin(cos(x))}((cos(cos(x))*-sin(x))ln(cos(x)) + \frac{(sin(cos(x)))(-sin(x))}{(cos(x))}))ln(cos(x))sin(x)cos(x)cos(cos(x)) - \frac{2{cos(x)}^{sin(cos(x))}*-sin(x)sin(x)cos(x)cos(cos(x))}{(cos(x))} - 2{cos(x)}^{sin(cos(x))}ln(cos(x))cos(x)cos(x)cos(cos(x)) - 2{cos(x)}^{sin(cos(x))}ln(cos(x))sin(x)*-sin(x)cos(cos(x)) - 2{cos(x)}^{sin(cos(x))}ln(cos(x))sin(x)cos(x)*-sin(cos(x))*-sin(x) + \frac{({cos(x)}^{sin(cos(x))}((cos(cos(x))*-sin(x))ln(cos(x)) + \frac{(sin(cos(x)))(-sin(x))}{(cos(x))}))ln(cos(x))sin(cos(x))sin^{3}(x)cos(cos(x))}{cos(x)} + \frac{{cos(x)}^{sin(cos(x))}*-sin(x)sin(cos(x))sin^{3}(x)cos(cos(x))}{(cos(x))cos(x)} + \frac{{cos(x)}^{sin(cos(x))}ln(cos(x))cos(cos(x))*-sin(x)sin^{3}(x)cos(cos(x))}{cos(x)} + \frac{{cos(x)}^{sin(cos(x))}ln(cos(x))sin(cos(x))*3sin^{2}(x)cos(x)cos(cos(x))}{cos(x)} + \frac{{cos(x)}^{sin(cos(x))}ln(cos(x))sin(cos(x))sin^{3}(x)sin(x)cos(cos(x))}{cos^{2}(x)} + \frac{{cos(x)}^{sin(cos(x))}ln(cos(x))sin(cos(x))sin^{3}(x)*-sin(cos(x))*-sin(x)}{cos(x)} + \frac{({cos(x)}^{sin(cos(x))}((cos(cos(x))*-sin(x))ln(cos(x)) + \frac{(sin(cos(x)))(-sin(x))}{(cos(x))}))sin^{3}(x)cos(cos(x))}{cos(x)} + \frac{{cos(x)}^{sin(cos(x))}*3sin^{2}(x)cos(x)cos(cos(x))}{cos(x)} + \frac{{cos(x)}^{sin(cos(x))}sin^{3}(x)sin(x)cos(cos(x))}{cos^{2}(x)} + \frac{{cos(x)}^{sin(cos(x))}sin^{3}(x)*-sin(cos(x))*-sin(x)}{cos(x)} - ({cos(x)}^{sin(cos(x))}((cos(cos(x))*-sin(x))ln(cos(x)) + \frac{(sin(cos(x)))(-sin(x))}{(cos(x))}))ln(cos(x))sin(x)cos(cos(x))cos(x) - \frac{{cos(x)}^{sin(cos(x))}*-sin(x)sin(x)cos(cos(x))cos(x)}{(cos(x))} - {cos(x)}^{sin(cos(x))}ln(cos(x))cos(x)cos(cos(x))cos(x) - {cos(x)}^{sin(cos(x))}ln(cos(x))sin(x)*-sin(cos(x))*-sin(x)cos(x) - {cos(x)}^{sin(cos(x))}ln(cos(x))sin(x)cos(cos(x))*-sin(x) + \frac{({cos(x)}^{sin(cos(x))}((cos(cos(x))*-sin(x))ln(cos(x)) + \frac{(sin(cos(x)))(-sin(x))}{(cos(x))}))ln(cos(x))sin^{3}(x)sin(cos(x))cos(cos(x))}{cos(x)} + \frac{{cos(x)}^{sin(cos(x))}*-sin(x)sin^{3}(x)sin(cos(x))cos(cos(x))}{(cos(x))cos(x)} + \frac{{cos(x)}^{sin(cos(x))}ln(cos(x))*3sin^{2}(x)cos(x)sin(cos(x))cos(cos(x))}{cos(x)} + \frac{{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{3}(x)cos(cos(x))*-sin(x)cos(cos(x))}{cos(x)} + \frac{{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{3}(x)sin(cos(x))*-sin(cos(x))*-sin(x)}{cos(x)} + \frac{{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{3}(x)sin(cos(x))cos(cos(x))sin(x)}{cos^{2}(x)} - ({cos(x)}^{sin(cos(x))}((cos(cos(x))*-sin(x))ln(cos(x)) + \frac{(sin(cos(x)))(-sin(x))}{(cos(x))}))ln(cos(x))sin(cos(x))sin^{3}(x) - \frac{{cos(x)}^{sin(cos(x))}*-sin(x)sin(cos(x))sin^{3}(x)}{(cos(x))} - {cos(x)}^{sin(cos(x))}ln(cos(x))cos(cos(x))*-sin(x)sin^{3}(x) - {cos(x)}^{sin(cos(x))}ln(cos(x))sin(cos(x))*3sin^{2}(x)cos(x) + \frac{({cos(x)}^{sin(cos(x))}((cos(cos(x))*-sin(x))ln(cos(x)) + \frac{(sin(cos(x)))(-sin(x))}{(cos(x))}))sin^{3}(x)sin^{2}(cos(x))}{cos^{2}(x)} + \frac{{cos(x)}^{sin(cos(x))}*3sin^{2}(x)cos(x)sin^{2}(cos(x))}{cos^{2}(x)} + \frac{{cos(x)}^{sin(cos(x))}sin^{3}(x)*2sin(cos(x))cos(cos(x))*-sin(x)}{cos^{2}(x)} + \frac{{cos(x)}^{sin(cos(x))}sin^{3}(x)sin^{2}(cos(x))*2sin(x)}{cos^{3}(x)} - \frac{({cos(x)}^{sin(cos(x))}((cos(cos(x))*-sin(x))ln(cos(x)) + \frac{(sin(cos(x)))(-sin(x))}{(cos(x))}))sin^{3}(x)sin(cos(x))}{cos^{2}(x)} - \frac{{cos(x)}^{sin(cos(x))}*3sin^{2}(x)cos(x)sin(cos(x))}{cos^{2}(x)} - \frac{{cos(x)}^{sin(cos(x))}sin^{3}(x)cos(cos(x))*-sin(x)}{cos^{2}(x)} - \frac{{cos(x)}^{sin(cos(x))}sin^{3}(x)sin(cos(x))*2sin(x)}{cos^{3}(x)} + \frac{({cos(x)}^{sin(cos(x))}((cos(cos(x))*-sin(x))ln(cos(x)) + \frac{(sin(cos(x)))(-sin(x))}{(cos(x))}))sin^{3}(x)cos(cos(x))}{cos(x)} + \frac{{cos(x)}^{sin(cos(x))}*3sin^{2}(x)cos(x)cos(cos(x))}{cos(x)} + \frac{{cos(x)}^{sin(cos(x))}sin^{3}(x)*-sin(cos(x))*-sin(x)}{cos(x)} + \frac{{cos(x)}^{sin(cos(x))}sin^{3}(x)cos(cos(x))sin(x)}{cos^{2}(x)} - 3({cos(x)}^{sin(cos(x))}((cos(cos(x))*-sin(x))ln(cos(x)) + \frac{(sin(cos(x)))(-sin(x))}{(cos(x))}))sin(x)sin(cos(x)) - 3{cos(x)}^{sin(cos(x))}cos(x)sin(cos(x)) - 3{cos(x)}^{sin(cos(x))}sin(x)cos(cos(x))*-sin(x) + ({cos(x)}^{sin(cos(x))}((cos(cos(x))*-sin(x))ln(cos(x)) + \frac{(sin(cos(x)))(-sin(x))}{(cos(x))}))ln^{2}(cos(x))sin^{3}(x)cos^{2}(cos(x)) + \frac{{cos(x)}^{sin(cos(x))}*2ln(cos(x))*-sin(x)sin^{3}(x)cos^{2}(cos(x))}{(cos(x))} + {cos(x)}^{sin(cos(x))}ln^{2}(cos(x))*3sin^{2}(x)cos(x)cos^{2}(cos(x)) + {cos(x)}^{sin(cos(x))}ln^{2}(cos(x))sin^{3}(x)*-2cos(cos(x))sin(cos(x))*-sin(x) - ({cos(x)}^{sin(cos(x))}((cos(cos(x))*-sin(x))ln(cos(x)) + \frac{(sin(cos(x)))(-sin(x))}{(cos(x))}))sin(x) - {cos(x)}^{sin(cos(x))}cos(x)\\=&3{cos(x)}^{sin(cos(x))}ln^{2}(cos(x))sin^{2}(x)cos^{2}(cos(x))cos(x) + \frac{{cos(x)}^{sin(cos(x))}ln(cos(x))sin(cos(x))sin^{4}(x)cos(cos(x))}{cos^{2}(x)} + \frac{{cos(x)}^{sin(cos(x))}sin^{4}(x)cos(cos(x))}{cos^{2}(x)} - 3{cos(x)}^{sin(cos(x))}ln(cos(x))cos^{2}(x)cos(cos(x)) + \frac{2{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{4}(x)sin(cos(x))cos(cos(x))}{cos^{2}(x)} - \frac{2{cos(x)}^{sin(cos(x))}ln^{2}(cos(x))sin^{4}(x)sin(cos(x))cos^{2}(cos(x))}{cos(x)} - \frac{2{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{2}(cos(x))sin^{4}(x)cos(cos(x))}{cos^{2}(x)} - \frac{{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{4}(x)sin^{2}(cos(x))cos(cos(x))}{cos^{2}(x)} - \frac{4{cos(x)}^{sin(cos(x))}sin^{4}(x)sin(cos(x))cos(cos(x))}{cos^{2}(x)} - \frac{4{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{4}(x)cos^{2}(cos(x))}{cos(x)} - \frac{{cos(x)}^{sin(cos(x))}ln^{2}(cos(x))sin(cos(x))sin^{4}(x)cos^{2}(cos(x))}{cos(x)} + \frac{{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{4}(x)sin^{2}(cos(x))}{cos(x)} + \frac{2{cos(x)}^{sin(cos(x))}sin^{4}(x)cos(cos(x))}{cos^{2}(x)} - \frac{2{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{4}(x)cos^{2}(cos(x))}{cos(x)} - \frac{2{cos(x)}^{sin(cos(x))}sin(cos(x))sin^{4}(x)cos(cos(x))}{cos^{2}(x)} + \frac{2{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{2}(cos(x))sin^{4}(x)}{cos(x)} - 3{cos(x)}^{sin(cos(x))}ln(cos(x))sin(cos(x))sin^{2}(x)cos(x) + {cos(x)}^{sin(cos(x))}ln^{2}(cos(x))sin^{4}(x)sin(cos(x))cos(cos(x)) + \frac{{cos(x)}^{sin(cos(x))}sin^{4}(x)sin(cos(x))}{cos(x)} + 3{cos(x)}^{sin(cos(x))}ln^{2}(cos(x))sin^{2}(x)cos(x)cos^{2}(cos(x)) - 3{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{2}(x)sin(cos(x))cos(x) + 3{cos(x)}^{sin(cos(x))}ln(cos(x))sin(cos(x))sin^{2}(x)cos(cos(x)) - \frac{{cos(x)}^{sin(cos(x))}sin^{4}(x)sin^{3}(cos(x))}{cos^{3}(x)} + \frac{6{cos(x)}^{sin(cos(x))}sin^{2}(x)sin^{2}(cos(x))}{cos(x)} + \frac{2{cos(x)}^{sin(cos(x))}sin(cos(x))sin^{4}(x)}{cos(x)} + \frac{3{cos(x)}^{sin(cos(x))}sin^{4}(x)sin^{2}(cos(x))}{cos^{3}(x)} - \frac{2{cos(x)}^{sin(cos(x))}sin^{2}(x)sin(cos(x))}{cos(x)} + 12{cos(x)}^{sin(cos(x))}sin^{2}(x)cos(cos(x)) - \frac{2{cos(x)}^{sin(cos(x))}sin^{4}(x)sin(cos(x))}{cos^{3}(x)} + 9{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{2}(x)sin(cos(x))cos(cos(x)) - 3{cos(x)}^{sin(cos(x))}sin(cos(x))cos(x) - {cos(x)}^{sin(cos(x))}ln^{3}(cos(x))sin^{4}(x)cos^{3}(cos(x)) + 4{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{2}(x)cos(cos(x)) + {cos(x)}^{sin(cos(x))}ln(cos(x))sin^{4}(x)cos(cos(x)) + 2{cos(x)}^{sin(cos(x))}ln^{2}(cos(x))sin(cos(x))sin^{4}(x)cos(cos(x)) - {cos(x)}^{sin(cos(x))}cos(x)\\\\ &\color{blue}{函数的第 4 阶导数:} \\&\frac{d\left( 3{cos(x)}^{sin(cos(x))}ln^{2}(cos(x))sin^{2}(x)cos^{2}(cos(x))cos(x) + \frac{{cos(x)}^{sin(cos(x))}ln(cos(x))sin(cos(x))sin^{4}(x)cos(cos(x))}{cos^{2}(x)} + \frac{{cos(x)}^{sin(cos(x))}sin^{4}(x)cos(cos(x))}{cos^{2}(x)} - 3{cos(x)}^{sin(cos(x))}ln(cos(x))cos^{2}(x)cos(cos(x)) + \frac{2{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{4}(x)sin(cos(x))cos(cos(x))}{cos^{2}(x)} - \frac{2{cos(x)}^{sin(cos(x))}ln^{2}(cos(x))sin^{4}(x)sin(cos(x))cos^{2}(cos(x))}{cos(x)} - \frac{2{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{2}(cos(x))sin^{4}(x)cos(cos(x))}{cos^{2}(x)} - \frac{{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{4}(x)sin^{2}(cos(x))cos(cos(x))}{cos^{2}(x)} - \frac{4{cos(x)}^{sin(cos(x))}sin^{4}(x)sin(cos(x))cos(cos(x))}{cos^{2}(x)} - \frac{4{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{4}(x)cos^{2}(cos(x))}{cos(x)} - \frac{{cos(x)}^{sin(cos(x))}ln^{2}(cos(x))sin(cos(x))sin^{4}(x)cos^{2}(cos(x))}{cos(x)} + \frac{{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{4}(x)sin^{2}(cos(x))}{cos(x)} + \frac{2{cos(x)}^{sin(cos(x))}sin^{4}(x)cos(cos(x))}{cos^{2}(x)} - \frac{2{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{4}(x)cos^{2}(cos(x))}{cos(x)} - \frac{2{cos(x)}^{sin(cos(x))}sin(cos(x))sin^{4}(x)cos(cos(x))}{cos^{2}(x)} + \frac{2{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{2}(cos(x))sin^{4}(x)}{cos(x)} - 3{cos(x)}^{sin(cos(x))}ln(cos(x))sin(cos(x))sin^{2}(x)cos(x) + {cos(x)}^{sin(cos(x))}ln^{2}(cos(x))sin^{4}(x)sin(cos(x))cos(cos(x)) + \frac{{cos(x)}^{sin(cos(x))}sin^{4}(x)sin(cos(x))}{cos(x)} + 3{cos(x)}^{sin(cos(x))}ln^{2}(cos(x))sin^{2}(x)cos(x)cos^{2}(cos(x)) - 3{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{2}(x)sin(cos(x))cos(x) + 3{cos(x)}^{sin(cos(x))}ln(cos(x))sin(cos(x))sin^{2}(x)cos(cos(x)) - \frac{{cos(x)}^{sin(cos(x))}sin^{4}(x)sin^{3}(cos(x))}{cos^{3}(x)} + \frac{6{cos(x)}^{sin(cos(x))}sin^{2}(x)sin^{2}(cos(x))}{cos(x)} + \frac{2{cos(x)}^{sin(cos(x))}sin(cos(x))sin^{4}(x)}{cos(x)} + \frac{3{cos(x)}^{sin(cos(x))}sin^{4}(x)sin^{2}(cos(x))}{cos^{3}(x)} - \frac{2{cos(x)}^{sin(cos(x))}sin^{2}(x)sin(cos(x))}{cos(x)} + 12{cos(x)}^{sin(cos(x))}sin^{2}(x)cos(cos(x)) - \frac{2{cos(x)}^{sin(cos(x))}sin^{4}(x)sin(cos(x))}{cos^{3}(x)} + 9{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{2}(x)sin(cos(x))cos(cos(x)) - 3{cos(x)}^{sin(cos(x))}sin(cos(x))cos(x) - {cos(x)}^{sin(cos(x))}ln^{3}(cos(x))sin^{4}(x)cos^{3}(cos(x)) + 4{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{2}(x)cos(cos(x)) + {cos(x)}^{sin(cos(x))}ln(cos(x))sin^{4}(x)cos(cos(x)) + 2{cos(x)}^{sin(cos(x))}ln^{2}(cos(x))sin(cos(x))sin^{4}(x)cos(cos(x)) - {cos(x)}^{sin(cos(x))}cos(x)\right)}{dx}\\=&3({cos(x)}^{sin(cos(x))}((cos(cos(x))*-sin(x))ln(cos(x)) + \frac{(sin(cos(x)))(-sin(x))}{(cos(x))}))ln^{2}(cos(x))sin^{2}(x)cos^{2}(cos(x))cos(x) + \frac{3{cos(x)}^{sin(cos(x))}*2ln(cos(x))*-sin(x)sin^{2}(x)cos^{2}(cos(x))cos(x)}{(cos(x))} + 3{cos(x)}^{sin(cos(x))}ln^{2}(cos(x))*2sin(x)cos(x)cos^{2}(cos(x))cos(x) + 3{cos(x)}^{sin(cos(x))}ln^{2}(cos(x))sin^{2}(x)*-2cos(cos(x))sin(cos(x))*-sin(x)cos(x) + 3{cos(x)}^{sin(cos(x))}ln^{2}(cos(x))sin^{2}(x)cos^{2}(cos(x))*-sin(x) + \frac{({cos(x)}^{sin(cos(x))}((cos(cos(x))*-sin(x))ln(cos(x)) + \frac{(sin(cos(x)))(-sin(x))}{(cos(x))}))ln(cos(x))sin(cos(x))sin^{4}(x)cos(cos(x))}{cos^{2}(x)} + \frac{{cos(x)}^{sin(cos(x))}*-sin(x)sin(cos(x))sin^{4}(x)cos(cos(x))}{(cos(x))cos^{2}(x)} + \frac{{cos(x)}^{sin(cos(x))}ln(cos(x))cos(cos(x))*-sin(x)sin^{4}(x)cos(cos(x))}{cos^{2}(x)} + \frac{{cos(x)}^{sin(cos(x))}ln(cos(x))sin(cos(x))*4sin^{3}(x)cos(x)cos(cos(x))}{cos^{2}(x)} + \frac{{cos(x)}^{sin(cos(x))}ln(cos(x))sin(cos(x))sin^{4}(x)*2sin(x)cos(cos(x))}{cos^{3}(x)} + \frac{{cos(x)}^{sin(cos(x))}ln(cos(x))sin(cos(x))sin^{4}(x)*-sin(cos(x))*-sin(x)}{cos^{2}(x)} + \frac{({cos(x)}^{sin(cos(x))}((cos(cos(x))*-sin(x))ln(cos(x)) + \frac{(sin(cos(x)))(-sin(x))}{(cos(x))}))sin^{4}(x)cos(cos(x))}{cos^{2}(x)} + \frac{{cos(x)}^{sin(cos(x))}*4sin^{3}(x)cos(x)cos(cos(x))}{cos^{2}(x)} + \frac{{cos(x)}^{sin(cos(x))}sin^{4}(x)*2sin(x)cos(cos(x))}{cos^{3}(x)} + \frac{{cos(x)}^{sin(cos(x))}sin^{4}(x)*-sin(cos(x))*-sin(x)}{cos^{2}(x)} - 3({cos(x)}^{sin(cos(x))}((cos(cos(x))*-sin(x))ln(cos(x)) + \frac{(sin(cos(x)))(-sin(x))}{(cos(x))}))ln(cos(x))cos^{2}(x)cos(cos(x)) - \frac{3{cos(x)}^{sin(cos(x))}*-sin(x)cos^{2}(x)cos(cos(x))}{(cos(x))} - 3{cos(x)}^{sin(cos(x))}ln(cos(x))*-2cos(x)sin(x)cos(cos(x)) - 3{cos(x)}^{sin(cos(x))}ln(cos(x))cos^{2}(x)*-sin(cos(x))*-sin(x) + \frac{2({cos(x)}^{sin(cos(x))}((cos(cos(x))*-sin(x))ln(cos(x)) + \frac{(sin(cos(x)))(-sin(x))}{(cos(x))}))ln(cos(x))sin^{4}(x)sin(cos(x))cos(cos(x))}{cos^{2}(x)} + \frac{2{cos(x)}^{sin(cos(x))}*-sin(x)sin^{4}(x)sin(cos(x))cos(cos(x))}{(cos(x))cos^{2}(x)} + \frac{2{cos(x)}^{sin(cos(x))}ln(cos(x))*4sin^{3}(x)cos(x)sin(cos(x))cos(cos(x))}{cos^{2}(x)} + \frac{2{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{4}(x)cos(cos(x))*-sin(x)cos(cos(x))}{cos^{2}(x)} + \frac{2{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{4}(x)sin(cos(x))*-sin(cos(x))*-sin(x)}{cos^{2}(x)} + \frac{2{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{4}(x)sin(cos(x))cos(cos(x))*2sin(x)}{cos^{3}(x)} - \frac{2({cos(x)}^{sin(cos(x))}((cos(cos(x))*-sin(x))ln(cos(x)) + \frac{(sin(cos(x)))(-sin(x))}{(cos(x))}))ln^{2}(cos(x))sin^{4}(x)sin(cos(x))cos^{2}(cos(x))}{cos(x)} - \frac{2{cos(x)}^{sin(cos(x))}*2ln(cos(x))*-sin(x)sin^{4}(x)sin(cos(x))cos^{2}(cos(x))}{(cos(x))cos(x)} - \frac{2{cos(x)}^{sin(cos(x))}ln^{2}(cos(x))*4sin^{3}(x)cos(x)sin(cos(x))cos^{2}(cos(x))}{cos(x)} - \frac{2{cos(x)}^{sin(cos(x))}ln^{2}(cos(x))sin^{4}(x)cos(cos(x))*-sin(x)cos^{2}(cos(x))}{cos(x)} - \frac{2{cos(x)}^{sin(cos(x))}ln^{2}(cos(x))sin^{4}(x)sin(cos(x))*-2cos(cos(x))sin(cos(x))*-sin(x)}{cos(x)} - \frac{2{cos(x)}^{sin(cos(x))}ln^{2}(cos(x))sin^{4}(x)sin(cos(x))cos^{2}(cos(x))sin(x)}{cos^{2}(x)} - \frac{2({cos(x)}^{sin(cos(x))}((cos(cos(x))*-sin(x))ln(cos(x)) + \frac{(sin(cos(x)))(-sin(x))}{(cos(x))}))ln(cos(x))sin^{2}(cos(x))sin^{4}(x)cos(cos(x))}{cos^{2}(x)} - \frac{2{cos(x)}^{sin(cos(x))}*-sin(x)sin^{2}(cos(x))sin^{4}(x)cos(cos(x))}{(cos(x))cos^{2}(x)} - \frac{2{cos(x)}^{sin(cos(x))}ln(cos(x))*2sin(cos(x))cos(cos(x))*-sin(x)sin^{4}(x)cos(cos(x))}{cos^{2}(x)} - \frac{2{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{2}(cos(x))*4sin^{3}(x)cos(x)cos(cos(x))}{cos^{2}(x)} - \frac{2{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{2}(cos(x))sin^{4}(x)*2sin(x)cos(cos(x))}{cos^{3}(x)} - \frac{2{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{2}(cos(x))sin^{4}(x)*-sin(cos(x))*-sin(x)}{cos^{2}(x)} - \frac{({cos(x)}^{sin(cos(x))}((cos(cos(x))*-sin(x))ln(cos(x)) + \frac{(sin(cos(x)))(-sin(x))}{(cos(x))}))ln(cos(x))sin^{4}(x)sin^{2}(cos(x))cos(cos(x))}{cos^{2}(x)} - \frac{{cos(x)}^{sin(cos(x))}*-sin(x)sin^{4}(x)sin^{2}(cos(x))cos(cos(x))}{(cos(x))cos^{2}(x)} - \frac{{cos(x)}^{sin(cos(x))}ln(cos(x))*4sin^{3}(x)cos(x)sin^{2}(cos(x))cos(cos(x))}{cos^{2}(x)} - \frac{{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{4}(x)*2sin(cos(x))cos(cos(x))*-sin(x)cos(cos(x))}{cos^{2}(x)} - \frac{{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{4}(x)sin^{2}(cos(x))*-sin(cos(x))*-sin(x)}{cos^{2}(x)} - \frac{{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{4}(x)sin^{2}(cos(x))cos(cos(x))*2sin(x)}{cos^{3}(x)} - \frac{4({cos(x)}^{sin(cos(x))}((cos(cos(x))*-sin(x))ln(cos(x)) + \frac{(sin(cos(x)))(-sin(x))}{(cos(x))}))sin^{4}(x)sin(cos(x))cos(cos(x))}{cos^{2}(x)} - \frac{4{cos(x)}^{sin(cos(x))}*4sin^{3}(x)cos(x)sin(cos(x))cos(cos(x))}{cos^{2}(x)} - \frac{4{cos(x)}^{sin(cos(x))}sin^{4}(x)cos(cos(x))*-sin(x)cos(cos(x))}{cos^{2}(x)} - \frac{4{cos(x)}^{sin(cos(x))}sin^{4}(x)sin(cos(x))*2sin(x)cos(cos(x))}{cos^{3}(x)} - \frac{4{cos(x)}^{sin(cos(x))}sin^{4}(x)sin(cos(x))*-sin(cos(x))*-sin(x)}{cos^{2}(x)} - \frac{4({cos(x)}^{sin(cos(x))}((cos(cos(x))*-sin(x))ln(cos(x)) + \frac{(sin(cos(x)))(-sin(x))}{(cos(x))}))ln(cos(x))sin^{4}(x)cos^{2}(cos(x))}{cos(x)} - \frac{4{cos(x)}^{sin(cos(x))}*-sin(x)sin^{4}(x)cos^{2}(cos(x))}{(cos(x))cos(x)} - \frac{4{cos(x)}^{sin(cos(x))}ln(cos(x))*4sin^{3}(x)cos(x)cos^{2}(cos(x))}{cos(x)} - \frac{4{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{4}(x)*-2cos(cos(x))sin(cos(x))*-sin(x)}{cos(x)} - \frac{4{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{4}(x)cos^{2}(cos(x))sin(x)}{cos^{2}(x)} - \frac{({cos(x)}^{sin(cos(x))}((cos(cos(x))*-sin(x))ln(cos(x)) + \frac{(sin(cos(x)))(-sin(x))}{(cos(x))}))ln^{2}(cos(x))sin(cos(x))sin^{4}(x)cos^{2}(cos(x))}{cos(x)} - \frac{{cos(x)}^{sin(cos(x))}*2ln(cos(x))*-sin(x)sin(cos(x))sin^{4}(x)cos^{2}(cos(x))}{(cos(x))cos(x)} - \frac{{cos(x)}^{sin(cos(x))}ln^{2}(cos(x))cos(cos(x))*-sin(x)sin^{4}(x)cos^{2}(cos(x))}{cos(x)} - \frac{{cos(x)}^{sin(cos(x))}ln^{2}(cos(x))sin(cos(x))*4sin^{3}(x)cos(x)cos^{2}(cos(x))}{cos(x)} - \frac{{cos(x)}^{sin(cos(x))}ln^{2}(cos(x))sin(cos(x))sin^{4}(x)sin(x)cos^{2}(cos(x))}{cos^{2}(x)} - \frac{{cos(x)}^{sin(cos(x))}ln^{2}(cos(x))sin(cos(x))sin^{4}(x)*-2cos(cos(x))sin(cos(x))*-sin(x)}{cos(x)} + \frac{({cos(x)}^{sin(cos(x))}((cos(cos(x))*-sin(x))ln(cos(x)) + \frac{(sin(cos(x)))(-sin(x))}{(cos(x))}))ln(cos(x))sin^{4}(x)sin^{2}(cos(x))}{cos(x)} + \frac{{cos(x)}^{sin(cos(x))}*-sin(x)sin^{4}(x)sin^{2}(cos(x))}{(cos(x))cos(x)} + \frac{{cos(x)}^{sin(cos(x))}ln(cos(x))*4sin^{3}(x)cos(x)sin^{2}(cos(x))}{cos(x)} + \frac{{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{4}(x)*2sin(cos(x))cos(cos(x))*-sin(x)}{cos(x)} + \frac{{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{4}(x)sin^{2}(cos(x))sin(x)}{cos^{2}(x)} + \frac{2({cos(x)}^{sin(cos(x))}((cos(cos(x))*-sin(x))ln(cos(x)) + \frac{(sin(cos(x)))(-sin(x))}{(cos(x))}))sin^{4}(x)cos(cos(x))}{cos^{2}(x)} + \frac{2{cos(x)}^{sin(cos(x))}*4sin^{3}(x)cos(x)cos(cos(x))}{cos^{2}(x)} + \frac{2{cos(x)}^{sin(cos(x))}sin^{4}(x)*-sin(cos(x))*-sin(x)}{cos^{2}(x)} + \frac{2{cos(x)}^{sin(cos(x))}sin^{4}(x)cos(cos(x))*2sin(x)}{cos^{3}(x)} - \frac{2({cos(x)}^{sin(cos(x))}((cos(cos(x))*-sin(x))ln(cos(x)) + \frac{(sin(cos(x)))(-sin(x))}{(cos(x))}))ln(cos(x))sin^{4}(x)cos^{2}(cos(x))}{cos(x)} - \frac{2{cos(x)}^{sin(cos(x))}*-sin(x)sin^{4}(x)cos^{2}(cos(x))}{(cos(x))cos(x)} - \frac{2{cos(x)}^{sin(cos(x))}ln(cos(x))*4sin^{3}(x)cos(x)cos^{2}(cos(x))}{cos(x)} - \frac{2{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{4}(x)sin(x)cos^{2}(cos(x))}{cos^{2}(x)} - \frac{2{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{4}(x)*-2cos(cos(x))sin(cos(x))*-sin(x)}{cos(x)} - \frac{2({cos(x)}^{sin(cos(x))}((cos(cos(x))*-sin(x))ln(cos(x)) + \frac{(sin(cos(x)))(-sin(x))}{(cos(x))}))sin(cos(x))sin^{4}(x)cos(cos(x))}{cos^{2}(x)} - \frac{2{cos(x)}^{sin(cos(x))}cos(cos(x))*-sin(x)sin^{4}(x)cos(cos(x))}{cos^{2}(x)} - \frac{2{cos(x)}^{sin(cos(x))}sin(cos(x))*4sin^{3}(x)cos(x)cos(cos(x))}{cos^{2}(x)} - \frac{2{cos(x)}^{sin(cos(x))}sin(cos(x))sin^{4}(x)*-sin(cos(x))*-sin(x)}{cos^{2}(x)} - \frac{2{cos(x)}^{sin(cos(x))}sin(cos(x))sin^{4}(x)cos(cos(x))*2sin(x)}{cos^{3}(x)} + \frac{2({cos(x)}^{sin(cos(x))}((cos(cos(x))*-sin(x))ln(cos(x)) + \frac{(sin(cos(x)))(-sin(x))}{(cos(x))}))ln(cos(x))sin^{2}(cos(x))sin^{4}(x)}{cos(x)} + \frac{2{cos(x)}^{sin(cos(x))}*-sin(x)sin^{2}(cos(x))sin^{4}(x)}{(cos(x))cos(x)} + \frac{2{cos(x)}^{sin(cos(x))}ln(cos(x))*2sin(cos(x))cos(cos(x))*-sin(x)sin^{4}(x)}{cos(x)} + \frac{2{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{2}(cos(x))*4sin^{3}(x)cos(x)}{cos(x)} + \frac{2{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{2}(cos(x))sin^{4}(x)sin(x)}{cos^{2}(x)} - 3({cos(x)}^{sin(cos(x))}((cos(cos(x))*-sin(x))ln(cos(x)) + \frac{(sin(cos(x)))(-sin(x))}{(cos(x))}))ln(cos(x))sin(cos(x))sin^{2}(x)cos(x) - \frac{3{cos(x)}^{sin(cos(x))}*-sin(x)sin(cos(x))sin^{2}(x)cos(x)}{(cos(x))} - 3{cos(x)}^{sin(cos(x))}ln(cos(x))cos(cos(x))*-sin(x)sin^{2}(x)cos(x) - 3{cos(x)}^{sin(cos(x))}ln(cos(x))sin(cos(x))*2sin(x)cos(x)cos(x) - 3{cos(x)}^{sin(cos(x))}ln(cos(x))sin(cos(x))sin^{2}(x)*-sin(x) + ({cos(x)}^{sin(cos(x))}((cos(cos(x))*-sin(x))ln(cos(x)) + \frac{(sin(cos(x)))(-sin(x))}{(cos(x))}))ln^{2}(cos(x))sin^{4}(x)sin(cos(x))cos(cos(x)) + \frac{{cos(x)}^{sin(cos(x))}*2ln(cos(x))*-sin(x)sin^{4}(x)sin(cos(x))cos(cos(x))}{(cos(x))} + {cos(x)}^{sin(cos(x))}ln^{2}(cos(x))*4sin^{3}(x)cos(x)sin(cos(x))cos(cos(x)) + {cos(x)}^{sin(cos(x))}ln^{2}(cos(x))sin^{4}(x)cos(cos(x))*-sin(x)cos(cos(x)) + {cos(x)}^{sin(cos(x))}ln^{2}(cos(x))sin^{4}(x)sin(cos(x))*-sin(cos(x))*-sin(x) + \frac{({cos(x)}^{sin(cos(x))}((cos(cos(x))*-sin(x))ln(cos(x)) + \frac{(sin(cos(x)))(-sin(x))}{(cos(x))}))sin^{4}(x)sin(cos(x))}{cos(x)} + \frac{{cos(x)}^{sin(cos(x))}*4sin^{3}(x)cos(x)sin(cos(x))}{cos(x)} + \frac{{cos(x)}^{sin(cos(x))}sin^{4}(x)cos(cos(x))*-sin(x)}{cos(x)} + \frac{{cos(x)}^{sin(cos(x))}sin^{4}(x)sin(cos(x))sin(x)}{cos^{2}(x)} + 3({cos(x)}^{sin(cos(x))}((cos(cos(x))*-sin(x))ln(cos(x)) + \frac{(sin(cos(x)))(-sin(x))}{(cos(x))}))ln^{2}(cos(x))sin^{2}(x)cos(x)cos^{2}(cos(x)) + \frac{3{cos(x)}^{sin(cos(x))}*2ln(cos(x))*-sin(x)sin^{2}(x)cos(x)cos^{2}(cos(x))}{(cos(x))} + 3{cos(x)}^{sin(cos(x))}ln^{2}(cos(x))*2sin(x)cos(x)cos(x)cos^{2}(cos(x)) + 3{cos(x)}^{sin(cos(x))}ln^{2}(cos(x))sin^{2}(x)*-sin(x)cos^{2}(cos(x)) + 3{cos(x)}^{sin(cos(x))}ln^{2}(cos(x))sin^{2}(x)cos(x)*-2cos(cos(x))sin(cos(x))*-sin(x) - 3({cos(x)}^{sin(cos(x))}((cos(cos(x))*-sin(x))ln(cos(x)) + \frac{(sin(cos(x)))(-sin(x))}{(cos(x))}))ln(cos(x))sin^{2}(x)sin(cos(x))cos(x) - \frac{3{cos(x)}^{sin(cos(x))}*-sin(x)sin^{2}(x)sin(cos(x))cos(x)}{(cos(x))} - 3{cos(x)}^{sin(cos(x))}ln(cos(x))*2sin(x)cos(x)sin(cos(x))cos(x) - 3{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{2}(x)cos(cos(x))*-sin(x)cos(x) - 3{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{2}(x)sin(cos(x))*-sin(x) + 3({cos(x)}^{sin(cos(x))}((cos(cos(x))*-sin(x))ln(cos(x)) + \frac{(sin(cos(x)))(-sin(x))}{(cos(x))}))ln(cos(x))sin(cos(x))sin^{2}(x)cos(cos(x)) + \frac{3{cos(x)}^{sin(cos(x))}*-sin(x)sin(cos(x))sin^{2}(x)cos(cos(x))}{(cos(x))} + 3{cos(x)}^{sin(cos(x))}ln(cos(x))cos(cos(x))*-sin(x)sin^{2}(x)cos(cos(x)) + 3{cos(x)}^{sin(cos(x))}ln(cos(x))sin(cos(x))*2sin(x)cos(x)cos(cos(x)) + 3{cos(x)}^{sin(cos(x))}ln(cos(x))sin(cos(x))sin^{2}(x)*-sin(cos(x))*-sin(x) - \frac{({cos(x)}^{sin(cos(x))}((cos(cos(x))*-sin(x))ln(cos(x)) + \frac{(sin(cos(x)))(-sin(x))}{(cos(x))}))sin^{4}(x)sin^{3}(cos(x))}{cos^{3}(x)} - \frac{{cos(x)}^{sin(cos(x))}*4sin^{3}(x)cos(x)sin^{3}(cos(x))}{cos^{3}(x)} - \frac{{cos(x)}^{sin(cos(x))}sin^{4}(x)*3sin^{2}(cos(x))cos(cos(x))*-sin(x)}{cos^{3}(x)} - \frac{{cos(x)}^{sin(cos(x))}sin^{4}(x)sin^{3}(cos(x))*3sin(x)}{cos^{4}(x)} + \frac{6({cos(x)}^{sin(cos(x))}((cos(cos(x))*-sin(x))ln(cos(x)) + \frac{(sin(cos(x)))(-sin(x))}{(cos(x))}))sin^{2}(x)sin^{2}(cos(x))}{cos(x)} + \frac{6{cos(x)}^{sin(cos(x))}*2sin(x)cos(x)sin^{2}(cos(x))}{cos(x)} + \frac{6{cos(x)}^{sin(cos(x))}sin^{2}(x)*2sin(cos(x))cos(cos(x))*-sin(x)}{cos(x)} + \frac{6{cos(x)}^{sin(cos(x))}sin^{2}(x)sin^{2}(cos(x))sin(x)}{cos^{2}(x)} + \frac{2({cos(x)}^{sin(cos(x))}((cos(cos(x))*-sin(x))ln(cos(x)) + \frac{(sin(cos(x)))(-sin(x))}{(cos(x))}))sin(cos(x))sin^{4}(x)}{cos(x)} + \frac{2{cos(x)}^{sin(cos(x))}cos(cos(x))*-sin(x)sin^{4}(x)}{cos(x)} + \frac{2{cos(x)}^{sin(cos(x))}sin(cos(x))*4sin^{3}(x)cos(x)}{cos(x)} + \frac{2{cos(x)}^{sin(cos(x))}sin(cos(x))sin^{4}(x)sin(x)}{cos^{2}(x)} + \frac{3({cos(x)}^{sin(cos(x))}((cos(cos(x))*-sin(x))ln(cos(x)) + \frac{(sin(cos(x)))(-sin(x))}{(cos(x))}))sin^{4}(x)sin^{2}(cos(x))}{cos^{3}(x)} + \frac{3{cos(x)}^{sin(cos(x))}*4sin^{3}(x)cos(x)sin^{2}(cos(x))}{cos^{3}(x)} + \frac{3{cos(x)}^{sin(cos(x))}sin^{4}(x)*2sin(cos(x))cos(cos(x))*-sin(x)}{cos^{3}(x)} + \frac{3{cos(x)}^{sin(cos(x))}sin^{4}(x)sin^{2}(cos(x))*3sin(x)}{cos^{4}(x)} - \frac{2({cos(x)}^{sin(cos(x))}((cos(cos(x))*-sin(x))ln(cos(x)) + \frac{(sin(cos(x)))(-sin(x))}{(cos(x))}))sin^{2}(x)sin(cos(x))}{cos(x)} - \frac{2{cos(x)}^{sin(cos(x))}*2sin(x)cos(x)sin(cos(x))}{cos(x)} - \frac{2{cos(x)}^{sin(cos(x))}sin^{2}(x)cos(cos(x))*-sin(x)}{cos(x)} - \frac{2{cos(x)}^{sin(cos(x))}sin^{2}(x)sin(cos(x))sin(x)}{cos^{2}(x)} + 12({cos(x)}^{sin(cos(x))}((cos(cos(x))*-sin(x))ln(cos(x)) + \frac{(sin(cos(x)))(-sin(x))}{(cos(x))}))sin^{2}(x)cos(cos(x)) + 12{cos(x)}^{sin(cos(x))}*2sin(x)cos(x)cos(cos(x)) + 12{cos(x)}^{sin(cos(x))}sin^{2}(x)*-sin(cos(x))*-sin(x) - \frac{2({cos(x)}^{sin(cos(x))}((cos(cos(x))*-sin(x))ln(cos(x)) + \frac{(sin(cos(x)))(-sin(x))}{(cos(x))}))sin^{4}(x)sin(cos(x))}{cos^{3}(x)} - \frac{2{cos(x)}^{sin(cos(x))}*4sin^{3}(x)cos(x)sin(cos(x))}{cos^{3}(x)} - \frac{2{cos(x)}^{sin(cos(x))}sin^{4}(x)cos(cos(x))*-sin(x)}{cos^{3}(x)} - \frac{2{cos(x)}^{sin(cos(x))}sin^{4}(x)sin(cos(x))*3sin(x)}{cos^{4}(x)} + 9({cos(x)}^{sin(cos(x))}((cos(cos(x))*-sin(x))ln(cos(x)) + \frac{(sin(cos(x)))(-sin(x))}{(cos(x))}))ln(cos(x))sin^{2}(x)sin(cos(x))cos(cos(x)) + \frac{9{cos(x)}^{sin(cos(x))}*-sin(x)sin^{2}(x)sin(cos(x))cos(cos(x))}{(cos(x))} + 9{cos(x)}^{sin(cos(x))}ln(cos(x))*2sin(x)cos(x)sin(cos(x))cos(cos(x)) + 9{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{2}(x)cos(cos(x))*-sin(x)cos(cos(x)) + 9{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{2}(x)sin(cos(x))*-sin(cos(x))*-sin(x) - 3({cos(x)}^{sin(cos(x))}((cos(cos(x))*-sin(x))ln(cos(x)) + \frac{(sin(cos(x)))(-sin(x))}{(cos(x))}))sin(cos(x))cos(x) - 3{cos(x)}^{sin(cos(x))}cos(cos(x))*-sin(x)cos(x) - 3{cos(x)}^{sin(cos(x))}sin(cos(x))*-sin(x) - ({cos(x)}^{sin(cos(x))}((cos(cos(x))*-sin(x))ln(cos(x)) + \frac{(sin(cos(x)))(-sin(x))}{(cos(x))}))ln^{3}(cos(x))sin^{4}(x)cos^{3}(cos(x)) - \frac{{cos(x)}^{sin(cos(x))}*3ln^{2}(cos(x))*-sin(x)sin^{4}(x)cos^{3}(cos(x))}{(cos(x))} - {cos(x)}^{sin(cos(x))}ln^{3}(cos(x))*4sin^{3}(x)cos(x)cos^{3}(cos(x)) - {cos(x)}^{sin(cos(x))}ln^{3}(cos(x))sin^{4}(x)*-3cos^{2}(cos(x))sin(cos(x))*-sin(x) + 4({cos(x)}^{sin(cos(x))}((cos(cos(x))*-sin(x))ln(cos(x)) + \frac{(sin(cos(x)))(-sin(x))}{(cos(x))}))ln(cos(x))sin^{2}(x)cos(cos(x)) + \frac{4{cos(x)}^{sin(cos(x))}*-sin(x)sin^{2}(x)cos(cos(x))}{(cos(x))} + 4{cos(x)}^{sin(cos(x))}ln(cos(x))*2sin(x)cos(x)cos(cos(x)) + 4{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{2}(x)*-sin(cos(x))*-sin(x) + ({cos(x)}^{sin(cos(x))}((cos(cos(x))*-sin(x))ln(cos(x)) + \frac{(sin(cos(x)))(-sin(x))}{(cos(x))}))ln(cos(x))sin^{4}(x)cos(cos(x)) + \frac{{cos(x)}^{sin(cos(x))}*-sin(x)sin^{4}(x)cos(cos(x))}{(cos(x))} + {cos(x)}^{sin(cos(x))}ln(cos(x))*4sin^{3}(x)cos(x)cos(cos(x)) + {cos(x)}^{sin(cos(x))}ln(cos(x))sin^{4}(x)*-sin(cos(x))*-sin(x) + 2({cos(x)}^{sin(cos(x))}((cos(cos(x))*-sin(x))ln(cos(x)) + \frac{(sin(cos(x)))(-sin(x))}{(cos(x))}))ln^{2}(cos(x))sin(cos(x))sin^{4}(x)cos(cos(x)) + \frac{2{cos(x)}^{sin(cos(x))}*2ln(cos(x))*-sin(x)sin(cos(x))sin^{4}(x)cos(cos(x))}{(cos(x))} + 2{cos(x)}^{sin(cos(x))}ln^{2}(cos(x))cos(cos(x))*-sin(x)sin^{4}(x)cos(cos(x)) + 2{cos(x)}^{sin(cos(x))}ln^{2}(cos(x))sin(cos(x))*4sin^{3}(x)cos(x)cos(cos(x)) + 2{cos(x)}^{sin(cos(x))}ln^{2}(cos(x))sin(cos(x))sin^{4}(x)*-sin(cos(x))*-sin(x) - ({cos(x)}^{sin(cos(x))}((cos(cos(x))*-sin(x))ln(cos(x)) + \frac{(sin(cos(x)))(-sin(x))}{(cos(x))}))cos(x) - {cos(x)}^{sin(cos(x))}*-sin(x)\\=&-6{cos(x)}^{sin(cos(x))}ln^{3}(cos(x))sin^{3}(x)cos^{3}(cos(x))cos(x) + \frac{10{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{5}(x)sin(cos(x))cos^{2}(cos(x))}{cos^{2}(x)} + 12{cos(x)}^{sin(cos(x))}ln^{2}(cos(x))sin(x)cos^{2}(x)cos^{2}(cos(x)) - \frac{10{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{5}(x)cos^{2}(cos(x))}{cos^{2}(x)} + \frac{12{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{3}(x)sin(cos(x))cos(cos(x))}{cos(x)} - \frac{5{cos(x)}^{sin(cos(x))}ln^{2}(cos(x))sin^{5}(x)sin(cos(x))cos^{2}(cos(x))}{cos^{2}(x)} - \frac{7{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{2}(cos(x))sin^{5}(x)cos(cos(x))}{cos^{3}(x)} + \frac{2{cos(x)}^{sin(cos(x))}ln(cos(x))sin(cos(x))sin^{5}(x)cos(cos(x))}{cos^{3}(x)} - \frac{14{cos(x)}^{sin(cos(x))}sin^{5}(x)sin(cos(x))cos(cos(x))}{cos^{3}(x)} + \frac{9{cos(x)}^{sin(cos(x))}ln^{2}(cos(x))sin^{5}(x)cos^{3}(cos(x))}{cos(x)} - \frac{4{cos(x)}^{sin(cos(x))}ln^{2}(cos(x))sin^{2}(cos(x))sin^{5}(x)cos(cos(x))}{cos(x)} + 3{cos(x)}^{sin(cos(x))}ln(cos(x))sin(cos(x))sin(x)cos(x)cos(cos(x)) + \frac{8{cos(x)}^{sin(cos(x))}sin^{3}(x)cos(cos(x))}{cos(x)} - \frac{48{cos(x)}^{sin(cos(x))}sin^{3}(x)sin(cos(x))cos(cos(x))}{cos(x)} + 3{cos(x)}^{sin(cos(x))}ln^{2}(cos(x))sin(x)cos^{2}(cos(x))cos^{2}(x) - \frac{5{cos(x)}^{sin(cos(x))}ln^{2}(cos(x))sin^{5}(x)sin^{2}(cos(x))cos(cos(x))}{cos(x)} + 27{cos(x)}^{sin(cos(x))}sin(x)cos(x)cos(cos(x)) + \frac{6{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{5}(x)sin(cos(x))cos(cos(x))}{cos^{3}(x)} + \frac{9{cos(x)}^{sin(cos(x))}sin^{5}(x)sin^{2}(cos(x))cos(cos(x))}{cos^{3}(x)} + \frac{6{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{5}(x)sin(cos(x))cos^{2}(cos(x))}{cos^{2}(x)} - \frac{12{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{3}(x)sin^{2}(cos(x))cos(cos(x))}{cos(x)} + \frac{3{cos(x)}^{sin(cos(x))}ln^{3}(cos(x))sin^{5}(x)sin(cos(x))cos^{3}(cos(x))}{cos(x)} + \frac{3{cos(x)}^{sin(cos(x))}ln^{2}(cos(x))sin^{2}(cos(x))sin^{5}(x)cos^{2}(cos(x))}{cos^{2}(x)} + \frac{2{cos(x)}^{sin(cos(x))}ln(cos(x))sin(cos(x))sin^{5}(x)cos^{2}(cos(x))}{cos^{2}(x)} + 12{cos(x)}^{sin(cos(x))}ln^{2}(cos(x))sin(cos(x))sin^{3}(x)cos(cos(x))cos(x) - \frac{2{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{5}(x)cos^{2}(cos(x))}{cos^{2}(x)} + \frac{3{cos(x)}^{sin(cos(x))}ln^{2}(cos(x))sin^{5}(x)sin^{2}(cos(x))cos^{2}(cos(x))}{cos^{2}(x)} + \frac{3{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{3}(cos(x))sin^{5}(x)cos(cos(x))}{cos^{3}(x)} - \frac{5{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{5}(x)sin^{2}(cos(x))cos(cos(x))}{cos^{3}(x)} - \frac{14{cos(x)}^{sin(cos(x))}ln(cos(x))sin(cos(x))sin^{5}(x)cos(cos(x))}{cos(x)} - \frac{{cos(x)}^{sin(cos(x))}ln^{2}(cos(x))sin(cos(x))sin^{5}(x)cos^{2}(cos(x))}{cos^{2}(x)} - \frac{7{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{5}(x)sin(cos(x))cos(cos(x))}{cos(x)} - \frac{10{cos(x)}^{sin(cos(x))}sin(cos(x))sin^{5}(x)cos(cos(x))}{cos^{3}(x)} + 12{cos(x)}^{sin(cos(x))}ln^{2}(cos(x))sin^{3}(x)sin(cos(x))cos(x)cos(cos(x)) - \frac{6{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{5}(x)sin(cos(x))cos(cos(x))}{cos(x)} + \frac{6{cos(x)}^{sin(cos(x))}ln(cos(x))sin(cos(x))sin^{5}(x)cos^{2}(cos(x))}{cos^{2}(x)} + \frac{6{cos(x)}^{sin(cos(x))}sin^{5}(x)cos^{2}(cos(x))}{cos^{2}(x)} + \frac{3{cos(x)}^{sin(cos(x))}sin^{2}(cos(x))sin^{5}(x)cos(cos(x))}{cos^{3}(x)} + 24{cos(x)}^{sin(cos(x))}ln(cos(x))sin(x)sin(cos(x))cos(x)cos(cos(x)) + \frac{6{cos(x)}^{sin(cos(x))}sin^{5}(x)cos^{2}(cos(x))}{cos^{2}(x)} + 6{cos(x)}^{sin(cos(x))}ln^{2}(cos(x))sin^{3}(x)sin(cos(x))cos(cos(x))cos(x) - \frac{3{cos(x)}^{sin(cos(x))}ln^{2}(cos(x))sin^{2}(cos(x))sin^{5}(x)cos(cos(x))}{cos(x)} - \frac{12{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{2}(cos(x))sin^{3}(x)cos(cos(x))}{cos(x)} + \frac{{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{5}(x)sin^{3}(cos(x))cos(cos(x))}{cos^{3}(x)} - \frac{6{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{3}(x)sin^{2}(cos(x))cos(cos(x))}{cos(x)} + 6{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{3}(x)cos(cos(x))cos(x) - \frac{12{cos(x)}^{sin(cos(x))}sin(cos(x))sin^{3}(x)cos(cos(x))}{cos(x)} + \frac{6{cos(x)}^{sin(cos(x))}sin^{5}(x)cos(cos(x))}{cos^{3}(x)} + \frac{2{cos(x)}^{sin(cos(x))}sin^{5}(x)cos(cos(x))}{cos^{3}(x)} + \frac{{cos(x)}^{sin(cos(x))}sin^{5}(x)sin(cos(x))}{cos^{2}(x)} + \frac{2{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{3}(x)sin(cos(x))cos(cos(x))}{cos(x)} + 3{cos(x)}^{sin(cos(x))}ln(cos(x))sin(x)sin(cos(x))cos(cos(x))cos(x) + 14{cos(x)}^{sin(cos(x))}ln(cos(x))sin(x)cos(x)cos(cos(x)) + \frac{{cos(x)}^{sin(cos(x))}ln^{3}(cos(x))sin(cos(x))sin^{5}(x)cos^{3}(cos(x))}{cos(x)} - \frac{4{cos(x)}^{sin(cos(x))}ln(cos(x))sin(cos(x))sin^{3}(x)cos(cos(x))}{cos(x)} - \frac{{cos(x)}^{sin(cos(x))}ln(cos(x))sin(cos(x))sin^{5}(x)cos(cos(x))}{cos(x)} - 3{cos(x)}^{sin(cos(x))}ln^{3}(cos(x))sin(cos(x))sin^{5}(x)cos^{2}(cos(x)) + \frac{4{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{2}(cos(x))sin^{5}(x)}{cos^{2}(x)} + \frac{3{cos(x)}^{sin(cos(x))}ln^{2}(cos(x))sin^{5}(x)cos^{3}(cos(x))}{cos(x)} - 15{cos(x)}^{sin(cos(x))}ln(cos(x))sin(x)sin(cos(x))cos^{2}(x) - \frac{8{cos(x)}^{sin(cos(x))}sin^{5}(x)sin^{2}(cos(x))}{cos^{2}(x)} - \frac{3{cos(x)}^{sin(cos(x))}sin^{5}(x)cos(cos(x))}{cos(x)} - \frac{4{cos(x)}^{sin(cos(x))}sin^{2}(cos(x))sin^{5}(x)}{cos^{2}(x)} - 4{cos(x)}^{sin(cos(x))}ln^{3}(cos(x))sin^{3}(x)cos(x)cos^{3}(cos(x)) - \frac{4{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{3}(cos(x))sin^{5}(x)}{cos^{2}(x)} - 6{cos(x)}^{sin(cos(x))}ln^{2}(cos(x))sin(cos(x))sin^{3}(x)cos^{2}(cos(x)) - 24{cos(x)}^{sin(cos(x))}ln^{2}(cos(x))sin^{3}(x)sin(cos(x))cos^{2}(cos(x)) - \frac{10{cos(x)}^{sin(cos(x))}sin^{3}(x)sin^{3}(cos(x))}{cos^{2}(x)} + \frac{2{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{5}(x)sin^{2}(cos(x))}{cos^{2}(x)} + \frac{{cos(x)}^{sin(cos(x))}sin^{5}(x)sin^{4}(cos(x))}{cos^{4}(x)} - \frac{6{cos(x)}^{sin(cos(x))}sin^{5}(x)sin^{3}(cos(x))}{cos^{4}(x)} + \frac{20{cos(x)}^{sin(cos(x))}sin^{3}(x)sin^{2}(cos(x))}{cos^{2}(x)} - 3{cos(x)}^{sin(cos(x))}ln^{3}(cos(x))sin^{5}(x)sin(cos(x))cos^{2}(cos(x)) + \frac{5{cos(x)}^{sin(cos(x))}sin(cos(x))sin^{5}(x)}{cos^{2}(x)} + \frac{11{cos(x)}^{sin(cos(x))}sin^{5}(x)sin^{2}(cos(x))}{cos^{4}(x)} - \frac{10{cos(x)}^{sin(cos(x))}sin^{3}(x)sin(cos(x))}{cos^{2}(x)} - \frac{6{cos(x)}^{sin(cos(x))}sin^{5}(x)sin(cos(x))}{cos^{4}(x)} - \frac{2{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{5}(x)sin^{3}(cos(x))}{cos^{2}(x)} + \frac{2{cos(x)}^{sin(cos(x))}sin^{3}(x)cos(cos(x))}{cos(x)} + 15{cos(x)}^{sin(cos(x))}sin(x)sin^{2}(cos(x)) + 4{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{3}(x)cos(x)cos(cos(x)) + 18{cos(x)}^{sin(cos(x))}sin^{3}(x)sin(cos(x)) + 12{cos(x)}^{sin(cos(x))}sin(cos(x))sin^{3}(x) + {cos(x)}^{sin(cos(x))}ln(cos(x))sin(x)cos(cos(x))cos(x) + 15{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{2}(cos(x))sin^{3}(x) + 3{cos(x)}^{sin(cos(x))}sin(x)cos(cos(x))cos(x) + {cos(x)}^{sin(cos(x))}ln^{4}(cos(x))sin^{5}(x)cos^{4}(cos(x)) + {cos(x)}^{sin(cos(x))}ln^{2}(cos(x))sin^{2}(cos(x))sin^{5}(x) - 4{cos(x)}^{sin(cos(x))}ln^{2}(cos(x))sin^{5}(x)cos^{2}(cos(x)) + 15{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{3}(x)sin^{2}(cos(x)) - 10{cos(x)}^{sin(cos(x))}ln^{2}(cos(x))sin^{3}(x)cos^{2}(cos(x)) + 7{cos(x)}^{sin(cos(x))}ln(cos(x))sin(cos(x))sin^{3}(x) + 2{cos(x)}^{sin(cos(x))}ln^{2}(cos(x))sin^{5}(x)sin^{2}(cos(x)) + 3{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{3}(x)sin(cos(x)) - \frac{{cos(x)}^{sin(cos(x))}sin^{5}(x)cos(cos(x))}{cos(x)} + {cos(x)}^{sin(cos(x))}ln(cos(x))sin(cos(x))sin^{5}(x) - 60{cos(x)}^{sin(cos(x))}ln(cos(x))sin^{3}(x)cos^{2}(cos(x)) + {cos(x)}^{sin(cos(x))}sin(x)\\ \end{split}\end{equation} \]



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