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。
\[ \begin{equation}\begin{split}【1/1】求函数tan({sin(x)}^{cos(x)}) 关于 x 的 4 阶导数：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &\color{blue}{函数的第 1 阶导数：}\\&\frac{d\left( tan({sin(x)}^{cos(x)})\right)}{dx}\\=&sec^{2}({sin(x)}^{cos(x)})(({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))})))\\=&-{sin(x)}^{cos(x)}ln(sin(x))sin(x)sec^{2}({sin(x)}^{cos(x)}) + \frac{{sin(x)}^{cos(x)}cos^{2}(x)sec^{2}({sin(x)}^{cos(x)})}{sin(x)}\\\\ &\color{blue}{函数的第 2 阶导数：} \\&\frac{d\left( -{sin(x)}^{cos(x)}ln(sin(x))sin(x)sec^{2}({sin(x)}^{cos(x)}) + \frac{{sin(x)}^{cos(x)}cos^{2}(x)sec^{2}({sin(x)}^{cos(x)})}{sin(x)}\right)}{dx}\\=&-({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))}))ln(sin(x))sin(x)sec^{2}({sin(x)}^{cos(x)}) - \frac{{sin(x)}^{cos(x)}cos(x)sin(x)sec^{2}({sin(x)}^{cos(x)})}{(sin(x))} - {sin(x)}^{cos(x)}ln(sin(x))cos(x)sec^{2}({sin(x)}^{cos(x)}) - {sin(x)}^{cos(x)}ln(sin(x))sin(x)*2sec^{2}({sin(x)}^{cos(x)})tan({sin(x)}^{cos(x)})({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))})) + \frac{({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))}))cos^{2}(x)sec^{2}({sin(x)}^{cos(x)})}{sin(x)} + \frac{{sin(x)}^{cos(x)}*-cos(x)cos^{2}(x)sec^{2}({sin(x)}^{cos(x)})}{sin^{2}(x)} + \frac{{sin(x)}^{cos(x)}*-2cos(x)sin(x)sec^{2}({sin(x)}^{cos(x)})}{sin(x)} + \frac{{sin(x)}^{cos(x)}cos^{2}(x)*2sec^{2}({sin(x)}^{cos(x)})tan({sin(x)}^{cos(x)})({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))}))}{sin(x)}\\=&{sin(x)}^{cos(x)}ln^{2}(sin(x))sin^{2}(x)sec^{2}({sin(x)}^{cos(x)}) - 2{sin(x)}^{cos(x)}ln(sin(x))cos^{2}(x)sec^{2}({sin(x)}^{cos(x)}) - 3{sin(x)}^{cos(x)}cos(x)sec^{2}({sin(x)}^{cos(x)}) - {sin(x)}^{cos(x)}ln(sin(x))cos(x)sec^{2}({sin(x)}^{cos(x)}) + 2{sin(x)}^{(2cos(x))}ln^{2}(sin(x))sin^{2}(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)}) - 4{sin(x)}^{(2cos(x))}ln(sin(x))cos^{2}(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)}) + \frac{{sin(x)}^{cos(x)}cos^{4}(x)sec^{2}({sin(x)}^{cos(x)})}{sin^{2}(x)} - \frac{{sin(x)}^{cos(x)}cos^{3}(x)sec^{2}({sin(x)}^{cos(x)})}{sin^{2}(x)} + \frac{2{sin(x)}^{(2cos(x))}cos^{4}(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)})}{sin^{2}(x)}\\\\ &\color{blue}{函数的第 3 阶导数：} \\&\frac{d\left( {sin(x)}^{cos(x)}ln^{2}(sin(x))sin^{2}(x)sec^{2}({sin(x)}^{cos(x)}) - 2{sin(x)}^{cos(x)}ln(sin(x))cos^{2}(x)sec^{2}({sin(x)}^{cos(x)}) - 3{sin(x)}^{cos(x)}cos(x)sec^{2}({sin(x)}^{cos(x)}) - {sin(x)}^{cos(x)}ln(sin(x))cos(x)sec^{2}({sin(x)}^{cos(x)}) + 2{sin(x)}^{(2cos(x))}ln^{2}(sin(x))sin^{2}(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)}) - 4{sin(x)}^{(2cos(x))}ln(sin(x))cos^{2}(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)}) + \frac{{sin(x)}^{cos(x)}cos^{4}(x)sec^{2}({sin(x)}^{cos(x)})}{sin^{2}(x)} - \frac{{sin(x)}^{cos(x)}cos^{3}(x)sec^{2}({sin(x)}^{cos(x)})}{sin^{2}(x)} + \frac{2{sin(x)}^{(2cos(x))}cos^{4}(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)})}{sin^{2}(x)}\right)}{dx}\\=&({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))}))ln^{2}(sin(x))sin^{2}(x)sec^{2}({sin(x)}^{cos(x)}) + \frac{{sin(x)}^{cos(x)}*2ln(sin(x))cos(x)sin^{2}(x)sec^{2}({sin(x)}^{cos(x)})}{(sin(x))} + {sin(x)}^{cos(x)}ln^{2}(sin(x))*2sin(x)cos(x)sec^{2}({sin(x)}^{cos(x)}) + {sin(x)}^{cos(x)}ln^{2}(sin(x))sin^{2}(x)*2sec^{2}({sin(x)}^{cos(x)})tan({sin(x)}^{cos(x)})({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))})) - 2({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))}))ln(sin(x))cos^{2}(x)sec^{2}({sin(x)}^{cos(x)}) - \frac{2{sin(x)}^{cos(x)}cos(x)cos^{2}(x)sec^{2}({sin(x)}^{cos(x)})}{(sin(x))} - 2{sin(x)}^{cos(x)}ln(sin(x))*-2cos(x)sin(x)sec^{2}({sin(x)}^{cos(x)}) - 2{sin(x)}^{cos(x)}ln(sin(x))cos^{2}(x)*2sec^{2}({sin(x)}^{cos(x)})tan({sin(x)}^{cos(x)})({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))})) - 3({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))}))cos(x)sec^{2}({sin(x)}^{cos(x)}) - 3{sin(x)}^{cos(x)}*-sin(x)sec^{2}({sin(x)}^{cos(x)}) - 3{sin(x)}^{cos(x)}cos(x)*2sec^{2}({sin(x)}^{cos(x)})tan({sin(x)}^{cos(x)})({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))})) - ({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))}))ln(sin(x))cos(x)sec^{2}({sin(x)}^{cos(x)}) - \frac{{sin(x)}^{cos(x)}cos(x)cos(x)sec^{2}({sin(x)}^{cos(x)})}{(sin(x))} - {sin(x)}^{cos(x)}ln(sin(x))*-sin(x)sec^{2}({sin(x)}^{cos(x)}) - {sin(x)}^{cos(x)}ln(sin(x))cos(x)*2sec^{2}({sin(x)}^{cos(x)})tan({sin(x)}^{cos(x)})({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))})) + 2({sin(x)}^{(2cos(x))}((2*-sin(x))ln(sin(x)) + \frac{(2cos(x))(cos(x))}{(sin(x))}))ln^{2}(sin(x))sin^{2}(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)}) + \frac{2{sin(x)}^{(2cos(x))}*2ln(sin(x))cos(x)sin^{2}(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)})}{(sin(x))} + 2{sin(x)}^{(2cos(x))}ln^{2}(sin(x))*2sin(x)cos(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)}) + 2{sin(x)}^{(2cos(x))}ln^{2}(sin(x))sin^{2}(x)sec^{2}({sin(x)}^{cos(x)})(({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))})))sec^{2}({sin(x)}^{cos(x)}) + 2{sin(x)}^{(2cos(x))}ln^{2}(sin(x))sin^{2}(x)tan({sin(x)}^{cos(x)})*2sec^{2}({sin(x)}^{cos(x)})tan({sin(x)}^{cos(x)})({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))})) - 4({sin(x)}^{(2cos(x))}((2*-sin(x))ln(sin(x)) + \frac{(2cos(x))(cos(x))}{(sin(x))}))ln(sin(x))cos^{2}(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)}) - \frac{4{sin(x)}^{(2cos(x))}cos(x)cos^{2}(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)})}{(sin(x))} - 4{sin(x)}^{(2cos(x))}ln(sin(x))*-2cos(x)sin(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)}) - 4{sin(x)}^{(2cos(x))}ln(sin(x))cos^{2}(x)sec^{2}({sin(x)}^{cos(x)})(({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))})))sec^{2}({sin(x)}^{cos(x)}) - 4{sin(x)}^{(2cos(x))}ln(sin(x))cos^{2}(x)tan({sin(x)}^{cos(x)})*2sec^{2}({sin(x)}^{cos(x)})tan({sin(x)}^{cos(x)})({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))})) + \frac{({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))}))cos^{4}(x)sec^{2}({sin(x)}^{cos(x)})}{sin^{2}(x)} + \frac{{sin(x)}^{cos(x)}*-2cos(x)cos^{4}(x)sec^{2}({sin(x)}^{cos(x)})}{sin^{3}(x)} + \frac{{sin(x)}^{cos(x)}*-4cos^{3}(x)sin(x)sec^{2}({sin(x)}^{cos(x)})}{sin^{2}(x)} + \frac{{sin(x)}^{cos(x)}cos^{4}(x)*2sec^{2}({sin(x)}^{cos(x)})tan({sin(x)}^{cos(x)})({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))}))}{sin^{2}(x)} - \frac{({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))}))cos^{3}(x)sec^{2}({sin(x)}^{cos(x)})}{sin^{2}(x)} - \frac{{sin(x)}^{cos(x)}*-2cos(x)cos^{3}(x)sec^{2}({sin(x)}^{cos(x)})}{sin^{3}(x)} - \frac{{sin(x)}^{cos(x)}*-3cos^{2}(x)sin(x)sec^{2}({sin(x)}^{cos(x)})}{sin^{2}(x)} - \frac{{sin(x)}^{cos(x)}cos^{3}(x)*2sec^{2}({sin(x)}^{cos(x)})tan({sin(x)}^{cos(x)})({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))}))}{sin^{2}(x)} + \frac{2({sin(x)}^{(2cos(x))}((2*-sin(x))ln(sin(x)) + \frac{(2cos(x))(cos(x))}{(sin(x))}))cos^{4}(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)})}{sin^{2}(x)} + \frac{2{sin(x)}^{(2cos(x))}*-2cos(x)cos^{4}(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)})}{sin^{3}(x)} + \frac{2{sin(x)}^{(2cos(x))}*-4cos^{3}(x)sin(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)})}{sin^{2}(x)} + \frac{2{sin(x)}^{(2cos(x))}cos^{4}(x)sec^{2}({sin(x)}^{cos(x)})(({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))})))sec^{2}({sin(x)}^{cos(x)})}{sin^{2}(x)} + \frac{2{sin(x)}^{(2cos(x))}cos^{4}(x)tan({sin(x)}^{cos(x)})*2sec^{2}({sin(x)}^{cos(x)})tan({sin(x)}^{cos(x)})({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))}))}{sin^{2}(x)}\\=&-{sin(x)}^{cos(x)}ln^{3}(sin(x))sin^{3}(x)sec^{2}({sin(x)}^{cos(x)}) + 3{sin(x)}^{cos(x)}ln^{2}(sin(x))sin(x)cos^{2}(x)sec^{2}({sin(x)}^{cos(x)}) + 9{sin(x)}^{cos(x)}ln(sin(x))sin(x)cos(x)sec^{2}({sin(x)}^{cos(x)}) + 3{sin(x)}^{cos(x)}ln^{2}(sin(x))sin(x)cos(x)sec^{2}({sin(x)}^{cos(x)}) - 6{sin(x)}^{(2cos(x))}ln^{3}(sin(x))sin^{3}(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)}) + 18{sin(x)}^{(2cos(x))}ln^{2}(sin(x))sin(x)cos^{2}(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)}) - \frac{3{sin(x)}^{cos(x)}ln(sin(x))cos^{4}(x)sec^{2}({sin(x)}^{cos(x)})}{sin(x)} - \frac{9{sin(x)}^{cos(x)}cos^{3}(x)sec^{2}({sin(x)}^{cos(x)})}{sin(x)} - \frac{18{sin(x)}^{(2cos(x))}ln(sin(x))cos^{4}(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)})}{sin(x)} + 3{sin(x)}^{cos(x)}sin(x)sec^{2}({sin(x)}^{cos(x)}) + 18{sin(x)}^{(2cos(x))}ln(sin(x))sin(x)cos(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)}) - \frac{18{sin(x)}^{(2cos(x))}cos^{3}(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)})}{sin(x)} + \frac{2{sin(x)}^{cos(x)}cos^{2}(x)sec^{2}({sin(x)}^{cos(x)})}{sin(x)} + {sin(x)}^{cos(x)}ln(sin(x))sin(x)sec^{2}({sin(x)}^{cos(x)}) + 6{sin(x)}^{(2cos(x))}ln^{2}(sin(x))sin(x)cos(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)}) - 2{sin(x)}^{(3cos(x))}ln^{3}(sin(x))sin^{3}(x)sec^{4}({sin(x)}^{cos(x)}) + 6{sin(x)}^{(3cos(x))}ln^{2}(sin(x))sin(x)cos^{2}(x)sec^{4}({sin(x)}^{cos(x)}) - 4{sin(x)}^{(3cos(x))}ln^{3}(sin(x))sin^{3}(x)tan^{2}({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)}) + 12{sin(x)}^{(3cos(x))}ln^{2}(sin(x))sin(x)cos^{2}(x)tan^{2}({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)}) - \frac{6{sin(x)}^{(3cos(x))}ln(sin(x))cos^{4}(x)sec^{4}({sin(x)}^{cos(x)})}{sin(x)} - \frac{12{sin(x)}^{(3cos(x))}ln(sin(x))cos^{4}(x)tan^{2}({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)})}{sin(x)} + \frac{{sin(x)}^{cos(x)}cos^{6}(x)sec^{2}({sin(x)}^{cos(x)})}{sin^{3}(x)} - \frac{3{sin(x)}^{cos(x)}cos^{5}(x)sec^{2}({sin(x)}^{cos(x)})}{sin^{3}(x)} + \frac{6{sin(x)}^{(2cos(x))}cos^{6}(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)})}{sin^{3}(x)} + \frac{2{sin(x)}^{cos(x)}cos^{4}(x)sec^{2}({sin(x)}^{cos(x)})}{sin^{3}(x)} - \frac{6{sin(x)}^{(2cos(x))}cos^{5}(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)})}{sin^{3}(x)} + \frac{2{sin(x)}^{(3cos(x))}cos^{6}(x)sec^{4}({sin(x)}^{cos(x)})}{sin^{3}(x)} + \frac{4{sin(x)}^{(3cos(x))}cos^{6}(x)tan^{2}({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)})}{sin^{3}(x)}\\\\ &\color{blue}{函数的第 4 阶导数：} \\&\frac{d\left( -{sin(x)}^{cos(x)}ln^{3}(sin(x))sin^{3}(x)sec^{2}({sin(x)}^{cos(x)}) + 3{sin(x)}^{cos(x)}ln^{2}(sin(x))sin(x)cos^{2}(x)sec^{2}({sin(x)}^{cos(x)}) + 9{sin(x)}^{cos(x)}ln(sin(x))sin(x)cos(x)sec^{2}({sin(x)}^{cos(x)}) + 3{sin(x)}^{cos(x)}ln^{2}(sin(x))sin(x)cos(x)sec^{2}({sin(x)}^{cos(x)}) - 6{sin(x)}^{(2cos(x))}ln^{3}(sin(x))sin^{3}(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)}) + 18{sin(x)}^{(2cos(x))}ln^{2}(sin(x))sin(x)cos^{2}(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)}) - \frac{3{sin(x)}^{cos(x)}ln(sin(x))cos^{4}(x)sec^{2}({sin(x)}^{cos(x)})}{sin(x)} - \frac{9{sin(x)}^{cos(x)}cos^{3}(x)sec^{2}({sin(x)}^{cos(x)})}{sin(x)} - \frac{18{sin(x)}^{(2cos(x))}ln(sin(x))cos^{4}(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)})}{sin(x)} + 3{sin(x)}^{cos(x)}sin(x)sec^{2}({sin(x)}^{cos(x)}) + 18{sin(x)}^{(2cos(x))}ln(sin(x))sin(x)cos(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)}) - \frac{18{sin(x)}^{(2cos(x))}cos^{3}(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)})}{sin(x)} + \frac{2{sin(x)}^{cos(x)}cos^{2}(x)sec^{2}({sin(x)}^{cos(x)})}{sin(x)} + {sin(x)}^{cos(x)}ln(sin(x))sin(x)sec^{2}({sin(x)}^{cos(x)}) + 6{sin(x)}^{(2cos(x))}ln^{2}(sin(x))sin(x)cos(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)}) - 2{sin(x)}^{(3cos(x))}ln^{3}(sin(x))sin^{3}(x)sec^{4}({sin(x)}^{cos(x)}) + 6{sin(x)}^{(3cos(x))}ln^{2}(sin(x))sin(x)cos^{2}(x)sec^{4}({sin(x)}^{cos(x)}) - 4{sin(x)}^{(3cos(x))}ln^{3}(sin(x))sin^{3}(x)tan^{2}({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)}) + 12{sin(x)}^{(3cos(x))}ln^{2}(sin(x))sin(x)cos^{2}(x)tan^{2}({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)}) - \frac{6{sin(x)}^{(3cos(x))}ln(sin(x))cos^{4}(x)sec^{4}({sin(x)}^{cos(x)})}{sin(x)} - \frac{12{sin(x)}^{(3cos(x))}ln(sin(x))cos^{4}(x)tan^{2}({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)})}{sin(x)} + \frac{{sin(x)}^{cos(x)}cos^{6}(x)sec^{2}({sin(x)}^{cos(x)})}{sin^{3}(x)} - \frac{3{sin(x)}^{cos(x)}cos^{5}(x)sec^{2}({sin(x)}^{cos(x)})}{sin^{3}(x)} + \frac{6{sin(x)}^{(2cos(x))}cos^{6}(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)})}{sin^{3}(x)} + \frac{2{sin(x)}^{cos(x)}cos^{4}(x)sec^{2}({sin(x)}^{cos(x)})}{sin^{3}(x)} - \frac{6{sin(x)}^{(2cos(x))}cos^{5}(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)})}{sin^{3}(x)} + \frac{2{sin(x)}^{(3cos(x))}cos^{6}(x)sec^{4}({sin(x)}^{cos(x)})}{sin^{3}(x)} + \frac{4{sin(x)}^{(3cos(x))}cos^{6}(x)tan^{2}({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)})}{sin^{3}(x)}\right)}{dx}\\=&-({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))}))ln^{3}(sin(x))sin^{3}(x)sec^{2}({sin(x)}^{cos(x)}) - \frac{{sin(x)}^{cos(x)}*3ln^{2}(sin(x))cos(x)sin^{3}(x)sec^{2}({sin(x)}^{cos(x)})}{(sin(x))} - {sin(x)}^{cos(x)}ln^{3}(sin(x))*3sin^{2}(x)cos(x)sec^{2}({sin(x)}^{cos(x)}) - {sin(x)}^{cos(x)}ln^{3}(sin(x))sin^{3}(x)*2sec^{2}({sin(x)}^{cos(x)})tan({sin(x)}^{cos(x)})({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))})) + 3({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))}))ln^{2}(sin(x))sin(x)cos^{2}(x)sec^{2}({sin(x)}^{cos(x)}) + \frac{3{sin(x)}^{cos(x)}*2ln(sin(x))cos(x)sin(x)cos^{2}(x)sec^{2}({sin(x)}^{cos(x)})}{(sin(x))} + 3{sin(x)}^{cos(x)}ln^{2}(sin(x))cos(x)cos^{2}(x)sec^{2}({sin(x)}^{cos(x)}) + 3{sin(x)}^{cos(x)}ln^{2}(sin(x))sin(x)*-2cos(x)sin(x)sec^{2}({sin(x)}^{cos(x)}) + 3{sin(x)}^{cos(x)}ln^{2}(sin(x))sin(x)cos^{2}(x)*2sec^{2}({sin(x)}^{cos(x)})tan({sin(x)}^{cos(x)})({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))})) + 9({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))}))ln(sin(x))sin(x)cos(x)sec^{2}({sin(x)}^{cos(x)}) + \frac{9{sin(x)}^{cos(x)}cos(x)sin(x)cos(x)sec^{2}({sin(x)}^{cos(x)})}{(sin(x))} + 9{sin(x)}^{cos(x)}ln(sin(x))cos(x)cos(x)sec^{2}({sin(x)}^{cos(x)}) + 9{sin(x)}^{cos(x)}ln(sin(x))sin(x)*-sin(x)sec^{2}({sin(x)}^{cos(x)}) + 9{sin(x)}^{cos(x)}ln(sin(x))sin(x)cos(x)*2sec^{2}({sin(x)}^{cos(x)})tan({sin(x)}^{cos(x)})({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))})) + 3({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))}))ln^{2}(sin(x))sin(x)cos(x)sec^{2}({sin(x)}^{cos(x)}) + \frac{3{sin(x)}^{cos(x)}*2ln(sin(x))cos(x)sin(x)cos(x)sec^{2}({sin(x)}^{cos(x)})}{(sin(x))} + 3{sin(x)}^{cos(x)}ln^{2}(sin(x))cos(x)cos(x)sec^{2}({sin(x)}^{cos(x)}) + 3{sin(x)}^{cos(x)}ln^{2}(sin(x))sin(x)*-sin(x)sec^{2}({sin(x)}^{cos(x)}) + 3{sin(x)}^{cos(x)}ln^{2}(sin(x))sin(x)cos(x)*2sec^{2}({sin(x)}^{cos(x)})tan({sin(x)}^{cos(x)})({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))})) - 6({sin(x)}^{(2cos(x))}((2*-sin(x))ln(sin(x)) + \frac{(2cos(x))(cos(x))}{(sin(x))}))ln^{3}(sin(x))sin^{3}(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)}) - \frac{6{sin(x)}^{(2cos(x))}*3ln^{2}(sin(x))cos(x)sin^{3}(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)})}{(sin(x))} - 6{sin(x)}^{(2cos(x))}ln^{3}(sin(x))*3sin^{2}(x)cos(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)}) - 6{sin(x)}^{(2cos(x))}ln^{3}(sin(x))sin^{3}(x)sec^{2}({sin(x)}^{cos(x)})(({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))})))sec^{2}({sin(x)}^{cos(x)}) - 6{sin(x)}^{(2cos(x))}ln^{3}(sin(x))sin^{3}(x)tan({sin(x)}^{cos(x)})*2sec^{2}({sin(x)}^{cos(x)})tan({sin(x)}^{cos(x)})({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))})) + 18({sin(x)}^{(2cos(x))}((2*-sin(x))ln(sin(x)) + \frac{(2cos(x))(cos(x))}{(sin(x))}))ln^{2}(sin(x))sin(x)cos^{2}(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)}) + \frac{18{sin(x)}^{(2cos(x))}*2ln(sin(x))cos(x)sin(x)cos^{2}(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)})}{(sin(x))} + 18{sin(x)}^{(2cos(x))}ln^{2}(sin(x))cos(x)cos^{2}(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)}) + 18{sin(x)}^{(2cos(x))}ln^{2}(sin(x))sin(x)*-2cos(x)sin(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)}) + 18{sin(x)}^{(2cos(x))}ln^{2}(sin(x))sin(x)cos^{2}(x)sec^{2}({sin(x)}^{cos(x)})(({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))})))sec^{2}({sin(x)}^{cos(x)}) + 18{sin(x)}^{(2cos(x))}ln^{2}(sin(x))sin(x)cos^{2}(x)tan({sin(x)}^{cos(x)})*2sec^{2}({sin(x)}^{cos(x)})tan({sin(x)}^{cos(x)})({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))})) - \frac{3({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))}))ln(sin(x))cos^{4}(x)sec^{2}({sin(x)}^{cos(x)})}{sin(x)} - \frac{3{sin(x)}^{cos(x)}cos(x)cos^{4}(x)sec^{2}({sin(x)}^{cos(x)})}{(sin(x))sin(x)} - \frac{3{sin(x)}^{cos(x)}ln(sin(x))*-cos(x)cos^{4}(x)sec^{2}({sin(x)}^{cos(x)})}{sin^{2}(x)} - \frac{3{sin(x)}^{cos(x)}ln(sin(x))*-4cos^{3}(x)sin(x)sec^{2}({sin(x)}^{cos(x)})}{sin(x)} - \frac{3{sin(x)}^{cos(x)}ln(sin(x))cos^{4}(x)*2sec^{2}({sin(x)}^{cos(x)})tan({sin(x)}^{cos(x)})({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))}))}{sin(x)} - \frac{9({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))}))cos^{3}(x)sec^{2}({sin(x)}^{cos(x)})}{sin(x)} - \frac{9{sin(x)}^{cos(x)}*-cos(x)cos^{3}(x)sec^{2}({sin(x)}^{cos(x)})}{sin^{2}(x)} - \frac{9{sin(x)}^{cos(x)}*-3cos^{2}(x)sin(x)sec^{2}({sin(x)}^{cos(x)})}{sin(x)} - \frac{9{sin(x)}^{cos(x)}cos^{3}(x)*2sec^{2}({sin(x)}^{cos(x)})tan({sin(x)}^{cos(x)})({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))}))}{sin(x)} - \frac{18({sin(x)}^{(2cos(x))}((2*-sin(x))ln(sin(x)) + \frac{(2cos(x))(cos(x))}{(sin(x))}))ln(sin(x))cos^{4}(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)})}{sin(x)} - \frac{18{sin(x)}^{(2cos(x))}cos(x)cos^{4}(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)})}{(sin(x))sin(x)} - \frac{18{sin(x)}^{(2cos(x))}ln(sin(x))*-cos(x)cos^{4}(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)})}{sin^{2}(x)} - \frac{18{sin(x)}^{(2cos(x))}ln(sin(x))*-4cos^{3}(x)sin(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)})}{sin(x)} - \frac{18{sin(x)}^{(2cos(x))}ln(sin(x))cos^{4}(x)sec^{2}({sin(x)}^{cos(x)})(({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))})))sec^{2}({sin(x)}^{cos(x)})}{sin(x)} - \frac{18{sin(x)}^{(2cos(x))}ln(sin(x))cos^{4}(x)tan({sin(x)}^{cos(x)})*2sec^{2}({sin(x)}^{cos(x)})tan({sin(x)}^{cos(x)})({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))}))}{sin(x)} + 3({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))}))sin(x)sec^{2}({sin(x)}^{cos(x)}) + 3{sin(x)}^{cos(x)}cos(x)sec^{2}({sin(x)}^{cos(x)}) + 3{sin(x)}^{cos(x)}sin(x)*2sec^{2}({sin(x)}^{cos(x)})tan({sin(x)}^{cos(x)})({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))})) + 18({sin(x)}^{(2cos(x))}((2*-sin(x))ln(sin(x)) + \frac{(2cos(x))(cos(x))}{(sin(x))}))ln(sin(x))sin(x)cos(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)}) + \frac{18{sin(x)}^{(2cos(x))}cos(x)sin(x)cos(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)})}{(sin(x))} + 18{sin(x)}^{(2cos(x))}ln(sin(x))cos(x)cos(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)}) + 18{sin(x)}^{(2cos(x))}ln(sin(x))sin(x)*-sin(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)}) + 18{sin(x)}^{(2cos(x))}ln(sin(x))sin(x)cos(x)sec^{2}({sin(x)}^{cos(x)})(({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))})))sec^{2}({sin(x)}^{cos(x)}) + 18{sin(x)}^{(2cos(x))}ln(sin(x))sin(x)cos(x)tan({sin(x)}^{cos(x)})*2sec^{2}({sin(x)}^{cos(x)})tan({sin(x)}^{cos(x)})({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))})) - \frac{18({sin(x)}^{(2cos(x))}((2*-sin(x))ln(sin(x)) + \frac{(2cos(x))(cos(x))}{(sin(x))}))cos^{3}(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)})}{sin(x)} - \frac{18{sin(x)}^{(2cos(x))}*-cos(x)cos^{3}(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)})}{sin^{2}(x)} - \frac{18{sin(x)}^{(2cos(x))}*-3cos^{2}(x)sin(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)})}{sin(x)} - \frac{18{sin(x)}^{(2cos(x))}cos^{3}(x)sec^{2}({sin(x)}^{cos(x)})(({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))})))sec^{2}({sin(x)}^{cos(x)})}{sin(x)} - \frac{18{sin(x)}^{(2cos(x))}cos^{3}(x)tan({sin(x)}^{cos(x)})*2sec^{2}({sin(x)}^{cos(x)})tan({sin(x)}^{cos(x)})({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))}))}{sin(x)} + \frac{2({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))}))cos^{2}(x)sec^{2}({sin(x)}^{cos(x)})}{sin(x)} + \frac{2{sin(x)}^{cos(x)}*-cos(x)cos^{2}(x)sec^{2}({sin(x)}^{cos(x)})}{sin^{2}(x)} + \frac{2{sin(x)}^{cos(x)}*-2cos(x)sin(x)sec^{2}({sin(x)}^{cos(x)})}{sin(x)} + \frac{2{sin(x)}^{cos(x)}cos^{2}(x)*2sec^{2}({sin(x)}^{cos(x)})tan({sin(x)}^{cos(x)})({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))}))}{sin(x)} + ({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))}))ln(sin(x))sin(x)sec^{2}({sin(x)}^{cos(x)}) + \frac{{sin(x)}^{cos(x)}cos(x)sin(x)sec^{2}({sin(x)}^{cos(x)})}{(sin(x))} + {sin(x)}^{cos(x)}ln(sin(x))cos(x)sec^{2}({sin(x)}^{cos(x)}) + {sin(x)}^{cos(x)}ln(sin(x))sin(x)*2sec^{2}({sin(x)}^{cos(x)})tan({sin(x)}^{cos(x)})({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))})) + 6({sin(x)}^{(2cos(x))}((2*-sin(x))ln(sin(x)) + \frac{(2cos(x))(cos(x))}{(sin(x))}))ln^{2}(sin(x))sin(x)cos(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)}) + \frac{6{sin(x)}^{(2cos(x))}*2ln(sin(x))cos(x)sin(x)cos(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)})}{(sin(x))} + 6{sin(x)}^{(2cos(x))}ln^{2}(sin(x))cos(x)cos(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)}) + 6{sin(x)}^{(2cos(x))}ln^{2}(sin(x))sin(x)*-sin(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)}) + 6{sin(x)}^{(2cos(x))}ln^{2}(sin(x))sin(x)cos(x)sec^{2}({sin(x)}^{cos(x)})(({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))})))sec^{2}({sin(x)}^{cos(x)}) + 6{sin(x)}^{(2cos(x))}ln^{2}(sin(x))sin(x)cos(x)tan({sin(x)}^{cos(x)})*2sec^{2}({sin(x)}^{cos(x)})tan({sin(x)}^{cos(x)})({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))})) - 2({sin(x)}^{(3cos(x))}((3*-sin(x))ln(sin(x)) + \frac{(3cos(x))(cos(x))}{(sin(x))}))ln^{3}(sin(x))sin^{3}(x)sec^{4}({sin(x)}^{cos(x)}) - \frac{2{sin(x)}^{(3cos(x))}*3ln^{2}(sin(x))cos(x)sin^{3}(x)sec^{4}({sin(x)}^{cos(x)})}{(sin(x))} - 2{sin(x)}^{(3cos(x))}ln^{3}(sin(x))*3sin^{2}(x)cos(x)sec^{4}({sin(x)}^{cos(x)}) - 2{sin(x)}^{(3cos(x))}ln^{3}(sin(x))sin^{3}(x)*4sec^{4}({sin(x)}^{cos(x)})tan({sin(x)}^{cos(x)})({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))})) + 6({sin(x)}^{(3cos(x))}((3*-sin(x))ln(sin(x)) + \frac{(3cos(x))(cos(x))}{(sin(x))}))ln^{2}(sin(x))sin(x)cos^{2}(x)sec^{4}({sin(x)}^{cos(x)}) + \frac{6{sin(x)}^{(3cos(x))}*2ln(sin(x))cos(x)sin(x)cos^{2}(x)sec^{4}({sin(x)}^{cos(x)})}{(sin(x))} + 6{sin(x)}^{(3cos(x))}ln^{2}(sin(x))cos(x)cos^{2}(x)sec^{4}({sin(x)}^{cos(x)}) + 6{sin(x)}^{(3cos(x))}ln^{2}(sin(x))sin(x)*-2cos(x)sin(x)sec^{4}({sin(x)}^{cos(x)}) + 6{sin(x)}^{(3cos(x))}ln^{2}(sin(x))sin(x)cos^{2}(x)*4sec^{4}({sin(x)}^{cos(x)})tan({sin(x)}^{cos(x)})({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))})) - 4({sin(x)}^{(3cos(x))}((3*-sin(x))ln(sin(x)) + \frac{(3cos(x))(cos(x))}{(sin(x))}))ln^{3}(sin(x))sin^{3}(x)tan^{2}({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)}) - \frac{4{sin(x)}^{(3cos(x))}*3ln^{2}(sin(x))cos(x)sin^{3}(x)tan^{2}({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)})}{(sin(x))} - 4{sin(x)}^{(3cos(x))}ln^{3}(sin(x))*3sin^{2}(x)cos(x)tan^{2}({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)}) - 4{sin(x)}^{(3cos(x))}ln^{3}(sin(x))sin^{3}(x)*2tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)})(({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))})))sec^{2}({sin(x)}^{cos(x)}) - 4{sin(x)}^{(3cos(x))}ln^{3}(sin(x))sin^{3}(x)tan^{2}({sin(x)}^{cos(x)})*2sec^{2}({sin(x)}^{cos(x)})tan({sin(x)}^{cos(x)})({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))})) + 12({sin(x)}^{(3cos(x))}((3*-sin(x))ln(sin(x)) + \frac{(3cos(x))(cos(x))}{(sin(x))}))ln^{2}(sin(x))sin(x)cos^{2}(x)tan^{2}({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)}) + \frac{12{sin(x)}^{(3cos(x))}*2ln(sin(x))cos(x)sin(x)cos^{2}(x)tan^{2}({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)})}{(sin(x))} + 12{sin(x)}^{(3cos(x))}ln^{2}(sin(x))cos(x)cos^{2}(x)tan^{2}({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)}) + 12{sin(x)}^{(3cos(x))}ln^{2}(sin(x))sin(x)*-2cos(x)sin(x)tan^{2}({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)}) + 12{sin(x)}^{(3cos(x))}ln^{2}(sin(x))sin(x)cos^{2}(x)*2tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)})(({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))})))sec^{2}({sin(x)}^{cos(x)}) + 12{sin(x)}^{(3cos(x))}ln^{2}(sin(x))sin(x)cos^{2}(x)tan^{2}({sin(x)}^{cos(x)})*2sec^{2}({sin(x)}^{cos(x)})tan({sin(x)}^{cos(x)})({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))})) - \frac{6({sin(x)}^{(3cos(x))}((3*-sin(x))ln(sin(x)) + \frac{(3cos(x))(cos(x))}{(sin(x))}))ln(sin(x))cos^{4}(x)sec^{4}({sin(x)}^{cos(x)})}{sin(x)} - \frac{6{sin(x)}^{(3cos(x))}cos(x)cos^{4}(x)sec^{4}({sin(x)}^{cos(x)})}{(sin(x))sin(x)} - \frac{6{sin(x)}^{(3cos(x))}ln(sin(x))*-cos(x)cos^{4}(x)sec^{4}({sin(x)}^{cos(x)})}{sin^{2}(x)} - \frac{6{sin(x)}^{(3cos(x))}ln(sin(x))*-4cos^{3}(x)sin(x)sec^{4}({sin(x)}^{cos(x)})}{sin(x)} - \frac{6{sin(x)}^{(3cos(x))}ln(sin(x))cos^{4}(x)*4sec^{4}({sin(x)}^{cos(x)})tan({sin(x)}^{cos(x)})({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))}))}{sin(x)} - \frac{12({sin(x)}^{(3cos(x))}((3*-sin(x))ln(sin(x)) + \frac{(3cos(x))(cos(x))}{(sin(x))}))ln(sin(x))cos^{4}(x)tan^{2}({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)})}{sin(x)} - \frac{12{sin(x)}^{(3cos(x))}cos(x)cos^{4}(x)tan^{2}({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)})}{(sin(x))sin(x)} - \frac{12{sin(x)}^{(3cos(x))}ln(sin(x))*-cos(x)cos^{4}(x)tan^{2}({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)})}{sin^{2}(x)} - \frac{12{sin(x)}^{(3cos(x))}ln(sin(x))*-4cos^{3}(x)sin(x)tan^{2}({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)})}{sin(x)} - \frac{12{sin(x)}^{(3cos(x))}ln(sin(x))cos^{4}(x)*2tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)})(({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))})))sec^{2}({sin(x)}^{cos(x)})}{sin(x)} - \frac{12{sin(x)}^{(3cos(x))}ln(sin(x))cos^{4}(x)tan^{2}({sin(x)}^{cos(x)})*2sec^{2}({sin(x)}^{cos(x)})tan({sin(x)}^{cos(x)})({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))}))}{sin(x)} + \frac{({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))}))cos^{6}(x)sec^{2}({sin(x)}^{cos(x)})}{sin^{3}(x)} + \frac{{sin(x)}^{cos(x)}*-3cos(x)cos^{6}(x)sec^{2}({sin(x)}^{cos(x)})}{sin^{4}(x)} + \frac{{sin(x)}^{cos(x)}*-6cos^{5}(x)sin(x)sec^{2}({sin(x)}^{cos(x)})}{sin^{3}(x)} + \frac{{sin(x)}^{cos(x)}cos^{6}(x)*2sec^{2}({sin(x)}^{cos(x)})tan({sin(x)}^{cos(x)})({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))}))}{sin^{3}(x)} - \frac{3({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))}))cos^{5}(x)sec^{2}({sin(x)}^{cos(x)})}{sin^{3}(x)} - \frac{3{sin(x)}^{cos(x)}*-3cos(x)cos^{5}(x)sec^{2}({sin(x)}^{cos(x)})}{sin^{4}(x)} - \frac{3{sin(x)}^{cos(x)}*-5cos^{4}(x)sin(x)sec^{2}({sin(x)}^{cos(x)})}{sin^{3}(x)} - \frac{3{sin(x)}^{cos(x)}cos^{5}(x)*2sec^{2}({sin(x)}^{cos(x)})tan({sin(x)}^{cos(x)})({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))}))}{sin^{3}(x)} + \frac{6({sin(x)}^{(2cos(x))}((2*-sin(x))ln(sin(x)) + \frac{(2cos(x))(cos(x))}{(sin(x))}))cos^{6}(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)})}{sin^{3}(x)} + \frac{6{sin(x)}^{(2cos(x))}*-3cos(x)cos^{6}(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)})}{sin^{4}(x)} + \frac{6{sin(x)}^{(2cos(x))}*-6cos^{5}(x)sin(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)})}{sin^{3}(x)} + \frac{6{sin(x)}^{(2cos(x))}cos^{6}(x)sec^{2}({sin(x)}^{cos(x)})(({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))})))sec^{2}({sin(x)}^{cos(x)})}{sin^{3}(x)} + \frac{6{sin(x)}^{(2cos(x))}cos^{6}(x)tan({sin(x)}^{cos(x)})*2sec^{2}({sin(x)}^{cos(x)})tan({sin(x)}^{cos(x)})({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))}))}{sin^{3}(x)} + \frac{2({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))}))cos^{4}(x)sec^{2}({sin(x)}^{cos(x)})}{sin^{3}(x)} + \frac{2{sin(x)}^{cos(x)}*-3cos(x)cos^{4}(x)sec^{2}({sin(x)}^{cos(x)})}{sin^{4}(x)} + \frac{2{sin(x)}^{cos(x)}*-4cos^{3}(x)sin(x)sec^{2}({sin(x)}^{cos(x)})}{sin^{3}(x)} + \frac{2{sin(x)}^{cos(x)}cos^{4}(x)*2sec^{2}({sin(x)}^{cos(x)})tan({sin(x)}^{cos(x)})({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))}))}{sin^{3}(x)} - \frac{6({sin(x)}^{(2cos(x))}((2*-sin(x))ln(sin(x)) + \frac{(2cos(x))(cos(x))}{(sin(x))}))cos^{5}(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)})}{sin^{3}(x)} - \frac{6{sin(x)}^{(2cos(x))}*-3cos(x)cos^{5}(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)})}{sin^{4}(x)} - \frac{6{sin(x)}^{(2cos(x))}*-5cos^{4}(x)sin(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)})}{sin^{3}(x)} - \frac{6{sin(x)}^{(2cos(x))}cos^{5}(x)sec^{2}({sin(x)}^{cos(x)})(({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))})))sec^{2}({sin(x)}^{cos(x)})}{sin^{3}(x)} - \frac{6{sin(x)}^{(2cos(x))}cos^{5}(x)tan({sin(x)}^{cos(x)})*2sec^{2}({sin(x)}^{cos(x)})tan({sin(x)}^{cos(x)})({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))}))}{sin^{3}(x)} + \frac{2({sin(x)}^{(3cos(x))}((3*-sin(x))ln(sin(x)) + \frac{(3cos(x))(cos(x))}{(sin(x))}))cos^{6}(x)sec^{4}({sin(x)}^{cos(x)})}{sin^{3}(x)} + \frac{2{sin(x)}^{(3cos(x))}*-3cos(x)cos^{6}(x)sec^{4}({sin(x)}^{cos(x)})}{sin^{4}(x)} + \frac{2{sin(x)}^{(3cos(x))}*-6cos^{5}(x)sin(x)sec^{4}({sin(x)}^{cos(x)})}{sin^{3}(x)} + \frac{2{sin(x)}^{(3cos(x))}cos^{6}(x)*4sec^{4}({sin(x)}^{cos(x)})tan({sin(x)}^{cos(x)})({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))}))}{sin^{3}(x)} + \frac{4({sin(x)}^{(3cos(x))}((3*-sin(x))ln(sin(x)) + \frac{(3cos(x))(cos(x))}{(sin(x))}))cos^{6}(x)tan^{2}({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)})}{sin^{3}(x)} + \frac{4{sin(x)}^{(3cos(x))}*-3cos(x)cos^{6}(x)tan^{2}({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)})}{sin^{4}(x)} + \frac{4{sin(x)}^{(3cos(x))}*-6cos^{5}(x)sin(x)tan^{2}({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)})}{sin^{3}(x)} + \frac{4{sin(x)}^{(3cos(x))}cos^{6}(x)*2tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)})(({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))})))sec^{2}({sin(x)}^{cos(x)})}{sin^{3}(x)} + \frac{4{sin(x)}^{(3cos(x))}cos^{6}(x)tan^{2}({sin(x)}^{cos(x)})*2sec^{2}({sin(x)}^{cos(x)})tan({sin(x)}^{cos(x)})({sin(x)}^{cos(x)}((-sin(x))ln(sin(x)) + \frac{(cos(x))(cos(x))}{(sin(x))}))}{sin^{3}(x)}\\=&{sin(x)}^{cos(x)}ln^{4}(sin(x))sin^{4}(x)sec^{2}({sin(x)}^{cos(x)}) - 4{sin(x)}^{cos(x)}ln^{3}(sin(x))sin^{2}(x)cos^{2}(x)sec^{2}({sin(x)}^{cos(x)}) - 18{sin(x)}^{cos(x)}ln^{2}(sin(x))sin^{2}(x)cos(x)sec^{2}({sin(x)}^{cos(x)}) - 6{sin(x)}^{cos(x)}ln^{3}(sin(x))sin^{2}(x)cos(x)sec^{2}({sin(x)}^{cos(x)}) + 16{sin(x)}^{(4cos(x))}ln^{4}(sin(x))sin^{4}(x)tan({sin(x)}^{cos(x)})sec^{4}({sin(x)}^{cos(x)}) - 64{sin(x)}^{(4cos(x))}ln^{3}(sin(x))sin^{2}(x)cos^{2}(x)tan({sin(x)}^{cos(x)})sec^{4}({sin(x)}^{cos(x)}) + 6{sin(x)}^{cos(x)}ln^{2}(sin(x))cos^{4}(x)sec^{2}({sin(x)}^{cos(x)}) + 36{sin(x)}^{cos(x)}ln(sin(x))cos^{3}(x)sec^{2}({sin(x)}^{cos(x)}) + 6{sin(x)}^{cos(x)}ln^{2}(sin(x))cos^{3}(x)sec^{2}({sin(x)}^{cos(x)}) + 96{sin(x)}^{(4cos(x))}ln^{2}(sin(x))cos^{4}(x)tan({sin(x)}^{cos(x)})sec^{4}({sin(x)}^{cos(x)}) + 39{sin(x)}^{cos(x)}cos^{2}(x)sec^{2}({sin(x)}^{cos(x)}) + 14{sin(x)}^{cos(x)}ln(sin(x))cos^{2}(x)sec^{2}({sin(x)}^{cos(x)}) - 12{sin(x)}^{cos(x)}ln(sin(x))sin^{2}(x)sec^{2}({sin(x)}^{cos(x)}) - \frac{64{sin(x)}^{(4cos(x))}ln(sin(x))cos^{6}(x)tan({sin(x)}^{cos(x)})sec^{4}({sin(x)}^{cos(x)})}{sin^{2}(x)} + 3{sin(x)}^{cos(x)}ln^{2}(sin(x))cos^{2}(x)sec^{2}({sin(x)}^{cos(x)}) - 4{sin(x)}^{cos(x)}ln^{2}(sin(x))sin^{2}(x)sec^{2}({sin(x)}^{cos(x)}) - 36{sin(x)}^{(2cos(x))}ln^{3}(sin(x))sin^{2}(x)cos(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)}) + 36{sin(x)}^{(2cos(x))}ln^{2}(sin(x))cos^{3}(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)}) + 14{sin(x)}^{(2cos(x))}ln^{4}(sin(x))sin^{4}(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)}) - 56{sin(x)}^{(2cos(x))}ln^{3}(sin(x))sin^{2}(x)cos^{2}(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)}) - 108{sin(x)}^{(2cos(x))}ln^{2}(sin(x))sin^{2}(x)cos(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)}) + 12{sin(x)}^{(3cos(x))}ln^{4}(sin(x))sin^{4}(x)sec^{4}({sin(x)}^{cos(x)}) - 48{sin(x)}^{(3cos(x))}ln^{3}(sin(x))sin^{2}(x)cos^{2}(x)sec^{4}({sin(x)}^{cos(x)}) + 24{sin(x)}^{(3cos(x))}ln^{4}(sin(x))sin^{4}(x)tan^{2}({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)}) - 96{sin(x)}^{(3cos(x))}ln^{3}(sin(x))sin^{2}(x)cos^{2}(x)tan^{2}({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)}) + 84{sin(x)}^{(2cos(x))}ln^{2}(sin(x))cos^{4}(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)}) + 216{sin(x)}^{(2cos(x))}ln(sin(x))cos^{3}(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)}) + 72{sin(x)}^{(3cos(x))}ln^{2}(sin(x))cos^{4}(x)sec^{4}({sin(x)}^{cos(x)}) + 144{sin(x)}^{(3cos(x))}ln^{2}(sin(x))cos^{4}(x)tan^{2}({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)}) - \frac{4{sin(x)}^{cos(x)}ln(sin(x))cos^{6}(x)sec^{2}({sin(x)}^{cos(x)})}{sin^{2}(x)} - \frac{18{sin(x)}^{cos(x)}cos^{5}(x)sec^{2}({sin(x)}^{cos(x)})}{sin^{2}(x)} + \frac{6{sin(x)}^{cos(x)}ln(sin(x))cos^{5}(x)sec^{2}({sin(x)}^{cos(x)})}{sin^{2}(x)} - \frac{56{sin(x)}^{(2cos(x))}ln(sin(x))cos^{6}(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)})}{sin^{2}(x)} + \frac{26{sin(x)}^{cos(x)}cos^{4}(x)sec^{2}({sin(x)}^{cos(x)})}{sin^{2}(x)} + \frac{16{sin(x)}^{(4cos(x))}cos^{8}(x)tan({sin(x)}^{cos(x)})sec^{4}({sin(x)}^{cos(x)})}{sin^{4}(x)} - \frac{108{sin(x)}^{(2cos(x))}cos^{5}(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)})}{sin^{2}(x)} + \frac{36{sin(x)}^{(2cos(x))}ln(sin(x))cos^{5}(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)})}{sin^{2}(x)} - \frac{48{sin(x)}^{(3cos(x))}ln(sin(x))cos^{6}(x)sec^{4}({sin(x)}^{cos(x)})}{sin^{2}(x)} - \frac{96{sin(x)}^{(3cos(x))}ln(sin(x))cos^{6}(x)tan^{2}({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)})}{sin^{2}(x)} - 24{sin(x)}^{(2cos(x))}ln(sin(x))sin^{2}(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)}) + 78{sin(x)}^{(2cos(x))}cos^{2}(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)}) + 28{sin(x)}^{(2cos(x))}ln(sin(x))cos^{2}(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)}) - 36{sin(x)}^{(3cos(x))}ln^{2}(sin(x))sin^{2}(x)cos(x)sec^{4}({sin(x)}^{cos(x)}) + 72{sin(x)}^{(3cos(x))}ln(sin(x))cos^{3}(x)sec^{4}({sin(x)}^{cos(x)}) - 72{sin(x)}^{(3cos(x))}ln^{2}(sin(x))sin^{2}(x)cos(x)tan^{2}({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)}) + 144{sin(x)}^{(3cos(x))}ln(sin(x))cos^{3}(x)tan^{2}({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)}) + \frac{52{sin(x)}^{(2cos(x))}cos^{4}(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)})}{sin^{2}(x)} - \frac{36{sin(x)}^{(3cos(x))}cos^{5}(x)sec^{4}({sin(x)}^{cos(x)})}{sin^{2}(x)} - \frac{72{sin(x)}^{(3cos(x))}cos^{5}(x)tan^{2}({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)})}{sin^{2}(x)} - \frac{10{sin(x)}^{cos(x)}cos^{3}(x)sec^{2}({sin(x)}^{cos(x)})}{sin^{2}(x)} + {sin(x)}^{cos(x)}ln(sin(x))cos(x)sec^{2}({sin(x)}^{cos(x)}) - 8{sin(x)}^{(2cos(x))}ln^{2}(sin(x))sin^{2}(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)}) + 6{sin(x)}^{(2cos(x))}ln^{2}(sin(x))cos^{2}(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)}) - 12{sin(x)}^{(3cos(x))}ln^{3}(sin(x))sin^{2}(x)cos(x)sec^{4}({sin(x)}^{cos(x)}) + 12{sin(x)}^{(3cos(x))}ln^{2}(sin(x))cos^{3}(x)sec^{4}({sin(x)}^{cos(x)}) - 24{sin(x)}^{(3cos(x))}ln^{3}(sin(x))sin^{2}(x)cos(x)tan^{2}({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)}) + 24{sin(x)}^{(3cos(x))}ln^{2}(sin(x))cos^{3}(x)tan^{2}({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)}) + 8{sin(x)}^{(4cos(x))}ln^{4}(sin(x))sin^{4}(x)tan^{3}({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)}) - 32{sin(x)}^{(4cos(x))}ln^{3}(sin(x))sin^{2}(x)cos^{2}(x)tan^{3}({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)}) + 48{sin(x)}^{(4cos(x))}ln^{2}(sin(x))cos^{4}(x)tan^{3}({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)}) + \frac{12{sin(x)}^{(3cos(x))}ln(sin(x))cos^{5}(x)sec^{4}({sin(x)}^{cos(x)})}{sin^{2}(x)} + \frac{24{sin(x)}^{(3cos(x))}ln(sin(x))cos^{5}(x)tan^{2}({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)})}{sin^{2}(x)} - \frac{32{sin(x)}^{(4cos(x))}ln(sin(x))cos^{6}(x)tan^{3}({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)})}{sin^{2}(x)} + \frac{{sin(x)}^{cos(x)}cos^{8}(x)sec^{2}({sin(x)}^{cos(x)})}{sin^{4}(x)} - \frac{6{sin(x)}^{cos(x)}cos^{7}(x)sec^{2}({sin(x)}^{cos(x)})}{sin^{4}(x)} + \frac{14{sin(x)}^{(2cos(x))}cos^{8}(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)})}{sin^{4}(x)} + \frac{11{sin(x)}^{cos(x)}cos^{6}(x)sec^{2}({sin(x)}^{cos(x)})}{sin^{4}(x)} - \frac{36{sin(x)}^{(2cos(x))}cos^{7}(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)})}{sin^{4}(x)} + \frac{12{sin(x)}^{(3cos(x))}cos^{8}(x)sec^{4}({sin(x)}^{cos(x)})}{sin^{4}(x)} + \frac{24{sin(x)}^{(3cos(x))}cos^{8}(x)tan^{2}({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)})}{sin^{4}(x)} - \frac{2{sin(x)}^{cos(x)}ln(sin(x))cos^{4}(x)sec^{2}({sin(x)}^{cos(x)})}{sin^{2}(x)} - \frac{6{sin(x)}^{cos(x)}cos^{5}(x)sec^{2}({sin(x)}^{cos(x)})}{sin^{4}(x)} - \frac{4{sin(x)}^{(2cos(x))}ln(sin(x))cos^{4}(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)})}{sin^{2}(x)} + \frac{22{sin(x)}^{(2cos(x))}cos^{6}(x)tan({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)})}{sin^{4}(x)} - \frac{12{sin(x)}^{(3cos(x))}cos^{7}(x)sec^{4}({sin(x)}^{cos(x)})}{sin^{4}(x)} - \frac{24{sin(x)}^{(3cos(x))}cos^{7}(x)tan^{2}({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)})}{sin^{4}(x)} + \frac{8{sin(x)}^{(4cos(x))}cos^{8}(x)tan^{3}({sin(x)}^{cos(x)})sec^{2}({sin(x)}^{cos(x)})}{sin^{4}(x)}\\ \end{split}\end{equation} \]

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