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 3 阶导数。
    注意,变量是区分大小写的。
\[ \begin{equation}\begin{split}【1/1】求函数cos(tan(cos({sin(36)}^{tan(x)}))) 关于 x 的 3 阶导数:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &\color{blue}{函数的第 1 阶导数:}\\&\frac{d\left( cos(tan(cos({sin(36)}^{tan(x)})))\right)}{dx}\\=&-sin(tan(cos({sin(36)}^{tan(x)})))sec^{2}(cos({sin(36)}^{tan(x)}))(-sin({sin(36)}^{tan(x)})({sin(36)}^{tan(x)}((sec^{2}(x)(1))ln(sin(36)) + \frac{(tan(x))(cos(36)*0)}{(sin(36))})))\\=&{sin(36)}^{tan(x)}ln(sin(36))sin({sin(36)}^{tan(x)})sin(tan(cos({sin(36)}^{tan(x)})))sec^{2}(x)sec^{2}(cos({sin(36)}^{tan(x)}))\\\\ &\color{blue}{函数的第 2 阶导数:} \\&\frac{d\left( {sin(36)}^{tan(x)}ln(sin(36))sin({sin(36)}^{tan(x)})sin(tan(cos({sin(36)}^{tan(x)})))sec^{2}(x)sec^{2}(cos({sin(36)}^{tan(x)}))\right)}{dx}\\=&({sin(36)}^{tan(x)}((sec^{2}(x)(1))ln(sin(36)) + \frac{(tan(x))(cos(36)*0)}{(sin(36))}))ln(sin(36))sin({sin(36)}^{tan(x)})sin(tan(cos({sin(36)}^{tan(x)})))sec^{2}(x)sec^{2}(cos({sin(36)}^{tan(x)})) + \frac{{sin(36)}^{tan(x)}cos(36)*0sin({sin(36)}^{tan(x)})sin(tan(cos({sin(36)}^{tan(x)})))sec^{2}(x)sec^{2}(cos({sin(36)}^{tan(x)}))}{(sin(36))} + {sin(36)}^{tan(x)}ln(sin(36))cos({sin(36)}^{tan(x)})({sin(36)}^{tan(x)}((sec^{2}(x)(1))ln(sin(36)) + \frac{(tan(x))(cos(36)*0)}{(sin(36))}))sin(tan(cos({sin(36)}^{tan(x)})))sec^{2}(x)sec^{2}(cos({sin(36)}^{tan(x)})) + {sin(36)}^{tan(x)}ln(sin(36))sin({sin(36)}^{tan(x)})cos(tan(cos({sin(36)}^{tan(x)})))sec^{2}(cos({sin(36)}^{tan(x)}))(-sin({sin(36)}^{tan(x)})({sin(36)}^{tan(x)}((sec^{2}(x)(1))ln(sin(36)) + \frac{(tan(x))(cos(36)*0)}{(sin(36))})))sec^{2}(x)sec^{2}(cos({sin(36)}^{tan(x)})) + {sin(36)}^{tan(x)}ln(sin(36))sin({sin(36)}^{tan(x)})sin(tan(cos({sin(36)}^{tan(x)})))*2sec^{2}(x)tan(x)sec^{2}(cos({sin(36)}^{tan(x)})) + {sin(36)}^{tan(x)}ln(sin(36))sin({sin(36)}^{tan(x)})sin(tan(cos({sin(36)}^{tan(x)})))sec^{2}(x)*2sec^{2}(cos({sin(36)}^{tan(x)}))tan(cos({sin(36)}^{tan(x)}))*-sin({sin(36)}^{tan(x)})({sin(36)}^{tan(x)}((sec^{2}(x)(1))ln(sin(36)) + \frac{(tan(x))(cos(36)*0)}{(sin(36))}))\\=&{sin(36)}^{tan(x)}ln^{2}(sin(36))sin({sin(36)}^{tan(x)})sin(tan(cos({sin(36)}^{tan(x)})))sec^{4}(x)sec^{2}(cos({sin(36)}^{tan(x)})) + {sin(36)}^{(2tan(x))}ln^{2}(sin(36))sin(tan(cos({sin(36)}^{tan(x)})))cos({sin(36)}^{tan(x)})sec^{4}(x)sec^{2}(cos({sin(36)}^{tan(x)})) - {sin(36)}^{(2tan(x))}ln^{2}(sin(36))sin^{2}({sin(36)}^{tan(x)})cos(tan(cos({sin(36)}^{tan(x)})))sec^{4}(x)sec^{4}(cos({sin(36)}^{tan(x)})) + 2{sin(36)}^{tan(x)}ln(sin(36))sin({sin(36)}^{tan(x)})sin(tan(cos({sin(36)}^{tan(x)})))tan(x)sec^{2}(x)sec^{2}(cos({sin(36)}^{tan(x)})) - 2{sin(36)}^{(2tan(x))}ln^{2}(sin(36))sin(tan(cos({sin(36)}^{tan(x)})))sin^{2}({sin(36)}^{tan(x)})tan(cos({sin(36)}^{tan(x)}))sec^{4}(x)sec^{2}(cos({sin(36)}^{tan(x)}))\\\\ &\color{blue}{函数的第 3 阶导数:} \\&\frac{d\left( {sin(36)}^{tan(x)}ln^{2}(sin(36))sin({sin(36)}^{tan(x)})sin(tan(cos({sin(36)}^{tan(x)})))sec^{4}(x)sec^{2}(cos({sin(36)}^{tan(x)})) + {sin(36)}^{(2tan(x))}ln^{2}(sin(36))sin(tan(cos({sin(36)}^{tan(x)})))cos({sin(36)}^{tan(x)})sec^{4}(x)sec^{2}(cos({sin(36)}^{tan(x)})) - {sin(36)}^{(2tan(x))}ln^{2}(sin(36))sin^{2}({sin(36)}^{tan(x)})cos(tan(cos({sin(36)}^{tan(x)})))sec^{4}(x)sec^{4}(cos({sin(36)}^{tan(x)})) + 2{sin(36)}^{tan(x)}ln(sin(36))sin({sin(36)}^{tan(x)})sin(tan(cos({sin(36)}^{tan(x)})))tan(x)sec^{2}(x)sec^{2}(cos({sin(36)}^{tan(x)})) - 2{sin(36)}^{(2tan(x))}ln^{2}(sin(36))sin(tan(cos({sin(36)}^{tan(x)})))sin^{2}({sin(36)}^{tan(x)})tan(cos({sin(36)}^{tan(x)}))sec^{4}(x)sec^{2}(cos({sin(36)}^{tan(x)}))\right)}{dx}\\=&({sin(36)}^{tan(x)}((sec^{2}(x)(1))ln(sin(36)) + \frac{(tan(x))(cos(36)*0)}{(sin(36))}))ln^{2}(sin(36))sin({sin(36)}^{tan(x)})sin(tan(cos({sin(36)}^{tan(x)})))sec^{4}(x)sec^{2}(cos({sin(36)}^{tan(x)})) + \frac{{sin(36)}^{tan(x)}*2ln(sin(36))cos(36)*0sin({sin(36)}^{tan(x)})sin(tan(cos({sin(36)}^{tan(x)})))sec^{4}(x)sec^{2}(cos({sin(36)}^{tan(x)}))}{(sin(36))} + {sin(36)}^{tan(x)}ln^{2}(sin(36))cos({sin(36)}^{tan(x)})({sin(36)}^{tan(x)}((sec^{2}(x)(1))ln(sin(36)) + \frac{(tan(x))(cos(36)*0)}{(sin(36))}))sin(tan(cos({sin(36)}^{tan(x)})))sec^{4}(x)sec^{2}(cos({sin(36)}^{tan(x)})) + {sin(36)}^{tan(x)}ln^{2}(sin(36))sin({sin(36)}^{tan(x)})cos(tan(cos({sin(36)}^{tan(x)})))sec^{2}(cos({sin(36)}^{tan(x)}))(-sin({sin(36)}^{tan(x)})({sin(36)}^{tan(x)}((sec^{2}(x)(1))ln(sin(36)) + \frac{(tan(x))(cos(36)*0)}{(sin(36))})))sec^{4}(x)sec^{2}(cos({sin(36)}^{tan(x)})) + {sin(36)}^{tan(x)}ln^{2}(sin(36))sin({sin(36)}^{tan(x)})sin(tan(cos({sin(36)}^{tan(x)})))*4sec^{4}(x)tan(x)sec^{2}(cos({sin(36)}^{tan(x)})) + {sin(36)}^{tan(x)}ln^{2}(sin(36))sin({sin(36)}^{tan(x)})sin(tan(cos({sin(36)}^{tan(x)})))sec^{4}(x)*2sec^{2}(cos({sin(36)}^{tan(x)}))tan(cos({sin(36)}^{tan(x)}))*-sin({sin(36)}^{tan(x)})({sin(36)}^{tan(x)}((sec^{2}(x)(1))ln(sin(36)) + \frac{(tan(x))(cos(36)*0)}{(sin(36))})) + ({sin(36)}^{(2tan(x))}((2sec^{2}(x)(1))ln(sin(36)) + \frac{(2tan(x))(cos(36)*0)}{(sin(36))}))ln^{2}(sin(36))sin(tan(cos({sin(36)}^{tan(x)})))cos({sin(36)}^{tan(x)})sec^{4}(x)sec^{2}(cos({sin(36)}^{tan(x)})) + \frac{{sin(36)}^{(2tan(x))}*2ln(sin(36))cos(36)*0sin(tan(cos({sin(36)}^{tan(x)})))cos({sin(36)}^{tan(x)})sec^{4}(x)sec^{2}(cos({sin(36)}^{tan(x)}))}{(sin(36))} + {sin(36)}^{(2tan(x))}ln^{2}(sin(36))cos(tan(cos({sin(36)}^{tan(x)})))sec^{2}(cos({sin(36)}^{tan(x)}))(-sin({sin(36)}^{tan(x)})({sin(36)}^{tan(x)}((sec^{2}(x)(1))ln(sin(36)) + \frac{(tan(x))(cos(36)*0)}{(sin(36))})))cos({sin(36)}^{tan(x)})sec^{4}(x)sec^{2}(cos({sin(36)}^{tan(x)})) + {sin(36)}^{(2tan(x))}ln^{2}(sin(36))sin(tan(cos({sin(36)}^{tan(x)})))*-sin({sin(36)}^{tan(x)})({sin(36)}^{tan(x)}((sec^{2}(x)(1))ln(sin(36)) + \frac{(tan(x))(cos(36)*0)}{(sin(36))}))sec^{4}(x)sec^{2}(cos({sin(36)}^{tan(x)})) + {sin(36)}^{(2tan(x))}ln^{2}(sin(36))sin(tan(cos({sin(36)}^{tan(x)})))cos({sin(36)}^{tan(x)})*4sec^{4}(x)tan(x)sec^{2}(cos({sin(36)}^{tan(x)})) + {sin(36)}^{(2tan(x))}ln^{2}(sin(36))sin(tan(cos({sin(36)}^{tan(x)})))cos({sin(36)}^{tan(x)})sec^{4}(x)*2sec^{2}(cos({sin(36)}^{tan(x)}))tan(cos({sin(36)}^{tan(x)}))*-sin({sin(36)}^{tan(x)})({sin(36)}^{tan(x)}((sec^{2}(x)(1))ln(sin(36)) + \frac{(tan(x))(cos(36)*0)}{(sin(36))})) - ({sin(36)}^{(2tan(x))}((2sec^{2}(x)(1))ln(sin(36)) + \frac{(2tan(x))(cos(36)*0)}{(sin(36))}))ln^{2}(sin(36))sin^{2}({sin(36)}^{tan(x)})cos(tan(cos({sin(36)}^{tan(x)})))sec^{4}(x)sec^{4}(cos({sin(36)}^{tan(x)})) - \frac{{sin(36)}^{(2tan(x))}*2ln(sin(36))cos(36)*0sin^{2}({sin(36)}^{tan(x)})cos(tan(cos({sin(36)}^{tan(x)})))sec^{4}(x)sec^{4}(cos({sin(36)}^{tan(x)}))}{(sin(36))} - {sin(36)}^{(2tan(x))}ln^{2}(sin(36))*2sin({sin(36)}^{tan(x)})cos({sin(36)}^{tan(x)})({sin(36)}^{tan(x)}((sec^{2}(x)(1))ln(sin(36)) + \frac{(tan(x))(cos(36)*0)}{(sin(36))}))cos(tan(cos({sin(36)}^{tan(x)})))sec^{4}(x)sec^{4}(cos({sin(36)}^{tan(x)})) - {sin(36)}^{(2tan(x))}ln^{2}(sin(36))sin^{2}({sin(36)}^{tan(x)})*-sin(tan(cos({sin(36)}^{tan(x)})))sec^{2}(cos({sin(36)}^{tan(x)}))(-sin({sin(36)}^{tan(x)})({sin(36)}^{tan(x)}((sec^{2}(x)(1))ln(sin(36)) + \frac{(tan(x))(cos(36)*0)}{(sin(36))})))sec^{4}(x)sec^{4}(cos({sin(36)}^{tan(x)})) - {sin(36)}^{(2tan(x))}ln^{2}(sin(36))sin^{2}({sin(36)}^{tan(x)})cos(tan(cos({sin(36)}^{tan(x)})))*4sec^{4}(x)tan(x)sec^{4}(cos({sin(36)}^{tan(x)})) - {sin(36)}^{(2tan(x))}ln^{2}(sin(36))sin^{2}({sin(36)}^{tan(x)})cos(tan(cos({sin(36)}^{tan(x)})))sec^{4}(x)*4sec^{4}(cos({sin(36)}^{tan(x)}))tan(cos({sin(36)}^{tan(x)}))*-sin({sin(36)}^{tan(x)})({sin(36)}^{tan(x)}((sec^{2}(x)(1))ln(sin(36)) + \frac{(tan(x))(cos(36)*0)}{(sin(36))})) + 2({sin(36)}^{tan(x)}((sec^{2}(x)(1))ln(sin(36)) + \frac{(tan(x))(cos(36)*0)}{(sin(36))}))ln(sin(36))sin({sin(36)}^{tan(x)})sin(tan(cos({sin(36)}^{tan(x)})))tan(x)sec^{2}(x)sec^{2}(cos({sin(36)}^{tan(x)})) + \frac{2{sin(36)}^{tan(x)}cos(36)*0sin({sin(36)}^{tan(x)})sin(tan(cos({sin(36)}^{tan(x)})))tan(x)sec^{2}(x)sec^{2}(cos({sin(36)}^{tan(x)}))}{(sin(36))} + 2{sin(36)}^{tan(x)}ln(sin(36))cos({sin(36)}^{tan(x)})({sin(36)}^{tan(x)}((sec^{2}(x)(1))ln(sin(36)) + \frac{(tan(x))(cos(36)*0)}{(sin(36))}))sin(tan(cos({sin(36)}^{tan(x)})))tan(x)sec^{2}(x)sec^{2}(cos({sin(36)}^{tan(x)})) + 2{sin(36)}^{tan(x)}ln(sin(36))sin({sin(36)}^{tan(x)})cos(tan(cos({sin(36)}^{tan(x)})))sec^{2}(cos({sin(36)}^{tan(x)}))(-sin({sin(36)}^{tan(x)})({sin(36)}^{tan(x)}((sec^{2}(x)(1))ln(sin(36)) + \frac{(tan(x))(cos(36)*0)}{(sin(36))})))tan(x)sec^{2}(x)sec^{2}(cos({sin(36)}^{tan(x)})) + 2{sin(36)}^{tan(x)}ln(sin(36))sin({sin(36)}^{tan(x)})sin(tan(cos({sin(36)}^{tan(x)})))sec^{2}(x)(1)sec^{2}(x)sec^{2}(cos({sin(36)}^{tan(x)})) + 2{sin(36)}^{tan(x)}ln(sin(36))sin({sin(36)}^{tan(x)})sin(tan(cos({sin(36)}^{tan(x)})))tan(x)*2sec^{2}(x)tan(x)sec^{2}(cos({sin(36)}^{tan(x)})) + 2{sin(36)}^{tan(x)}ln(sin(36))sin({sin(36)}^{tan(x)})sin(tan(cos({sin(36)}^{tan(x)})))tan(x)sec^{2}(x)*2sec^{2}(cos({sin(36)}^{tan(x)}))tan(cos({sin(36)}^{tan(x)}))*-sin({sin(36)}^{tan(x)})({sin(36)}^{tan(x)}((sec^{2}(x)(1))ln(sin(36)) + \frac{(tan(x))(cos(36)*0)}{(sin(36))})) - 2({sin(36)}^{(2tan(x))}((2sec^{2}(x)(1))ln(sin(36)) + \frac{(2tan(x))(cos(36)*0)}{(sin(36))}))ln^{2}(sin(36))sin(tan(cos({sin(36)}^{tan(x)})))sin^{2}({sin(36)}^{tan(x)})tan(cos({sin(36)}^{tan(x)}))sec^{4}(x)sec^{2}(cos({sin(36)}^{tan(x)})) - \frac{2{sin(36)}^{(2tan(x))}*2ln(sin(36))cos(36)*0sin(tan(cos({sin(36)}^{tan(x)})))sin^{2}({sin(36)}^{tan(x)})tan(cos({sin(36)}^{tan(x)}))sec^{4}(x)sec^{2}(cos({sin(36)}^{tan(x)}))}{(sin(36))} - 2{sin(36)}^{(2tan(x))}ln^{2}(sin(36))cos(tan(cos({sin(36)}^{tan(x)})))sec^{2}(cos({sin(36)}^{tan(x)}))(-sin({sin(36)}^{tan(x)})({sin(36)}^{tan(x)}((sec^{2}(x)(1))ln(sin(36)) + \frac{(tan(x))(cos(36)*0)}{(sin(36))})))sin^{2}({sin(36)}^{tan(x)})tan(cos({sin(36)}^{tan(x)}))sec^{4}(x)sec^{2}(cos({sin(36)}^{tan(x)})) - 2{sin(36)}^{(2tan(x))}ln^{2}(sin(36))sin(tan(cos({sin(36)}^{tan(x)})))*2sin({sin(36)}^{tan(x)})cos({sin(36)}^{tan(x)})({sin(36)}^{tan(x)}((sec^{2}(x)(1))ln(sin(36)) + \frac{(tan(x))(cos(36)*0)}{(sin(36))}))tan(cos({sin(36)}^{tan(x)}))sec^{4}(x)sec^{2}(cos({sin(36)}^{tan(x)})) - 2{sin(36)}^{(2tan(x))}ln^{2}(sin(36))sin(tan(cos({sin(36)}^{tan(x)})))sin^{2}({sin(36)}^{tan(x)})sec^{2}(cos({sin(36)}^{tan(x)}))(-sin({sin(36)}^{tan(x)})({sin(36)}^{tan(x)}((sec^{2}(x)(1))ln(sin(36)) + \frac{(tan(x))(cos(36)*0)}{(sin(36))})))sec^{4}(x)sec^{2}(cos({sin(36)}^{tan(x)})) - 2{sin(36)}^{(2tan(x))}ln^{2}(sin(36))sin(tan(cos({sin(36)}^{tan(x)})))sin^{2}({sin(36)}^{tan(x)})tan(cos({sin(36)}^{tan(x)}))*4sec^{4}(x)tan(x)sec^{2}(cos({sin(36)}^{tan(x)})) - 2{sin(36)}^{(2tan(x))}ln^{2}(sin(36))sin(tan(cos({sin(36)}^{tan(x)})))sin^{2}({sin(36)}^{tan(x)})tan(cos({sin(36)}^{tan(x)}))sec^{4}(x)*2sec^{2}(cos({sin(36)}^{tan(x)}))tan(cos({sin(36)}^{tan(x)}))*-sin({sin(36)}^{tan(x)})({sin(36)}^{tan(x)}((sec^{2}(x)(1))ln(sin(36)) + \frac{(tan(x))(cos(36)*0)}{(sin(36))}))\\=&{sin(36)}^{tan(x)}ln^{3}(sin(36))sin({sin(36)}^{tan(x)})sin(tan(cos({sin(36)}^{tan(x)})))sec^{6}(x)sec^{2}(cos({sin(36)}^{tan(x)})) + 3{sin(36)}^{(2tan(x))}ln^{3}(sin(36))sin(tan(cos({sin(36)}^{tan(x)})))cos({sin(36)}^{tan(x)})sec^{6}(x)sec^{2}(cos({sin(36)}^{tan(x)})) - 3{sin(36)}^{(2tan(x))}ln^{3}(sin(36))sin^{2}({sin(36)}^{tan(x)})cos(tan(cos({sin(36)}^{tan(x)})))sec^{6}(x)sec^{4}(cos({sin(36)}^{tan(x)})) + 6{sin(36)}^{tan(x)}ln^{2}(sin(36))sin({sin(36)}^{tan(x)})sin(tan(cos({sin(36)}^{tan(x)})))tan(x)sec^{4}(x)sec^{2}(cos({sin(36)}^{tan(x)})) - 6{sin(36)}^{(2tan(x))}ln^{3}(sin(36))sin(tan(cos({sin(36)}^{tan(x)})))sin^{2}({sin(36)}^{tan(x)})tan(cos({sin(36)}^{tan(x)}))sec^{6}(x)sec^{2}(cos({sin(36)}^{tan(x)})) - {sin(36)}^{(3tan(x))}ln^{3}(sin(36))sin({sin(36)}^{tan(x)})cos(tan(cos({sin(36)}^{tan(x)})))cos({sin(36)}^{tan(x)})sec^{6}(x)sec^{4}(cos({sin(36)}^{tan(x)})) - {sin(36)}^{(3tan(x))}ln^{3}(sin(36))sin({sin(36)}^{tan(x)})sin(tan(cos({sin(36)}^{tan(x)})))sec^{6}(x)sec^{2}(cos({sin(36)}^{tan(x)})) + 6{sin(36)}^{(2tan(x))}ln^{2}(sin(36))sin(tan(cos({sin(36)}^{tan(x)})))cos({sin(36)}^{tan(x)})tan(x)sec^{4}(x)sec^{2}(cos({sin(36)}^{tan(x)})) - 6{sin(36)}^{(2tan(x))}ln^{2}(sin(36))sin^{2}({sin(36)}^{tan(x)})cos(tan(cos({sin(36)}^{tan(x)})))tan(x)sec^{4}(x)sec^{4}(cos({sin(36)}^{tan(x)})) - 2{sin(36)}^{(3tan(x))}ln^{3}(sin(36))sin({sin(36)}^{tan(x)})cos({sin(36)}^{tan(x)})cos(tan(cos({sin(36)}^{tan(x)})))sec^{6}(x)sec^{4}(cos({sin(36)}^{tan(x)})) - {sin(36)}^{(3tan(x))}ln^{3}(sin(36))sin(tan(cos({sin(36)}^{tan(x)})))sin^{3}({sin(36)}^{tan(x)})sec^{6}(x)sec^{6}(cos({sin(36)}^{tan(x)})) + 6{sin(36)}^{(3tan(x))}ln^{3}(sin(36))sin^{3}({sin(36)}^{tan(x)})cos(tan(cos({sin(36)}^{tan(x)})))tan(cos({sin(36)}^{tan(x)}))sec^{6}(x)sec^{4}(cos({sin(36)}^{tan(x)})) - 6{sin(36)}^{(3tan(x))}ln^{3}(sin(36))sin({sin(36)}^{tan(x)})sin(tan(cos({sin(36)}^{tan(x)})))cos({sin(36)}^{tan(x)})tan(cos({sin(36)}^{tan(x)}))sec^{6}(x)sec^{2}(cos({sin(36)}^{tan(x)})) + 2{sin(36)}^{tan(x)}ln(sin(36))sin(tan(cos({sin(36)}^{tan(x)})))sin({sin(36)}^{tan(x)})sec^{4}(x)sec^{2}(cos({sin(36)}^{tan(x)})) + 4{sin(36)}^{tan(x)}ln(sin(36))sin({sin(36)}^{tan(x)})sin(tan(cos({sin(36)}^{tan(x)})))tan^{2}(x)sec^{2}(x)sec^{2}(cos({sin(36)}^{tan(x)})) - 12{sin(36)}^{(2tan(x))}ln^{2}(sin(36))sin(tan(cos({sin(36)}^{tan(x)})))sin^{2}({sin(36)}^{tan(x)})tan(x)tan(cos({sin(36)}^{tan(x)}))sec^{4}(x)sec^{2}(cos({sin(36)}^{tan(x)})) + 2{sin(36)}^{(3tan(x))}ln^{3}(sin(36))sin(tan(cos({sin(36)}^{tan(x)})))sin^{3}({sin(36)}^{tan(x)})sec^{6}(x)sec^{4}(cos({sin(36)}^{tan(x)})) + 4{sin(36)}^{(3tan(x))}ln^{3}(sin(36))sin^{3}({sin(36)}^{tan(x)})sin(tan(cos({sin(36)}^{tan(x)})))tan^{2}(cos({sin(36)}^{tan(x)}))sec^{6}(x)sec^{2}(cos({sin(36)}^{tan(x)}))\\ \end{split}\end{equation} \]



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