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。
\[ \begin{equation}\begin{split}【1/1】求函数{x}^{(\frac{36{x}^{5}}{sin(x)})} 关于 x 的 4 阶导数：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = {x}^{(\frac{36x^{5}}{sin(x)})}\\&\color{blue}{函数的第 1 阶导数：}\\&\frac{d\left( {x}^{(\frac{36x^{5}}{sin(x)})}\right)}{dx}\\=&({x}^{(\frac{36x^{5}}{sin(x)})}((\frac{36*5x^{4}}{sin(x)} + \frac{36x^{5}*-cos(x)}{sin^{2}(x)})ln(x) + \frac{(\frac{36x^{5}}{sin(x)})(1)}{(x)}))\\=&\frac{-36x^{5}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)cos(x)}{sin^{2}(x)} + \frac{180x^{4}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)}{sin(x)} + \frac{36x^{4}{x}^{(\frac{36x^{5}}{sin(x)})}}{sin(x)}\\\\ &\color{blue}{函数的第 2 阶导数：} \\&\frac{d\left( \frac{-36x^{5}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)cos(x)}{sin^{2}(x)} + \frac{180x^{4}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)}{sin(x)} + \frac{36x^{4}{x}^{(\frac{36x^{5}}{sin(x)})}}{sin(x)}\right)}{dx}\\=&\frac{-36*5x^{4}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)cos(x)}{sin^{2}(x)} - \frac{36x^{5}({x}^{(\frac{36x^{5}}{sin(x)})}((\frac{36*5x^{4}}{sin(x)} + \frac{36x^{5}*-cos(x)}{sin^{2}(x)})ln(x) + \frac{(\frac{36x^{5}}{sin(x)})(1)}{(x)}))ln(x)cos(x)}{sin^{2}(x)} - \frac{36x^{5}{x}^{(\frac{36x^{5}}{sin(x)})}cos(x)}{(x)sin^{2}(x)} - \frac{36x^{5}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)*-2cos(x)cos(x)}{sin^{3}(x)} - \frac{36x^{5}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)*-sin(x)}{sin^{2}(x)} + \frac{180*4x^{3}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)}{sin(x)} + \frac{180x^{4}({x}^{(\frac{36x^{5}}{sin(x)})}((\frac{36*5x^{4}}{sin(x)} + \frac{36x^{5}*-cos(x)}{sin^{2}(x)})ln(x) + \frac{(\frac{36x^{5}}{sin(x)})(1)}{(x)}))ln(x)}{sin(x)} + \frac{180x^{4}{x}^{(\frac{36x^{5}}{sin(x)})}}{(x)sin(x)} + \frac{180x^{4}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)*-cos(x)}{sin^{2}(x)} + \frac{36*4x^{3}{x}^{(\frac{36x^{5}}{sin(x)})}}{sin(x)} + \frac{36x^{4}({x}^{(\frac{36x^{5}}{sin(x)})}((\frac{36*5x^{4}}{sin(x)} + \frac{36x^{5}*-cos(x)}{sin^{2}(x)})ln(x) + \frac{(\frac{36x^{5}}{sin(x)})(1)}{(x)}))}{sin(x)} + \frac{36x^{4}{x}^{(\frac{36x^{5}}{sin(x)})}*-cos(x)}{sin^{2}(x)}\\=&\frac{-360x^{4}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)cos(x)}{sin^{2}(x)} + \frac{1296x^{10}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)cos^{2}(x)}{sin^{4}(x)} - \frac{12960x^{9}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)cos(x)}{sin^{3}(x)} - \frac{2592x^{9}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)cos(x)}{sin^{3}(x)} - \frac{72x^{4}{x}^{(\frac{36x^{5}}{sin(x)})}cos(x)}{sin^{2}(x)} + \frac{72x^{5}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)cos^{2}(x)}{sin^{3}(x)} + \frac{36x^{5}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)}{sin(x)} + \frac{720x^{3}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)}{sin(x)} + \frac{32400x^{8}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)}{sin^{2}(x)} + \frac{12960x^{8}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)}{sin^{2}(x)} + \frac{324x^{3}{x}^{(\frac{36x^{5}}{sin(x)})}}{sin(x)} + \frac{1296x^{8}{x}^{(\frac{36x^{5}}{sin(x)})}}{sin^{2}(x)}\\\\ &\color{blue}{函数的第 3 阶导数：} \\&\frac{d\left( \frac{-360x^{4}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)cos(x)}{sin^{2}(x)} + \frac{1296x^{10}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)cos^{2}(x)}{sin^{4}(x)} - \frac{12960x^{9}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)cos(x)}{sin^{3}(x)} - \frac{2592x^{9}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)cos(x)}{sin^{3}(x)} - \frac{72x^{4}{x}^{(\frac{36x^{5}}{sin(x)})}cos(x)}{sin^{2}(x)} + \frac{72x^{5}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)cos^{2}(x)}{sin^{3}(x)} + \frac{36x^{5}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)}{sin(x)} + \frac{720x^{3}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)}{sin(x)} + \frac{32400x^{8}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)}{sin^{2}(x)} + \frac{12960x^{8}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)}{sin^{2}(x)} + \frac{324x^{3}{x}^{(\frac{36x^{5}}{sin(x)})}}{sin(x)} + \frac{1296x^{8}{x}^{(\frac{36x^{5}}{sin(x)})}}{sin^{2}(x)}\right)}{dx}\\=&\frac{-360*4x^{3}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)cos(x)}{sin^{2}(x)} - \frac{360x^{4}({x}^{(\frac{36x^{5}}{sin(x)})}((\frac{36*5x^{4}}{sin(x)} + \frac{36x^{5}*-cos(x)}{sin^{2}(x)})ln(x) + \frac{(\frac{36x^{5}}{sin(x)})(1)}{(x)}))ln(x)cos(x)}{sin^{2}(x)} - \frac{360x^{4}{x}^{(\frac{36x^{5}}{sin(x)})}cos(x)}{(x)sin^{2}(x)} - \frac{360x^{4}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)*-2cos(x)cos(x)}{sin^{3}(x)} - \frac{360x^{4}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)*-sin(x)}{sin^{2}(x)} + \frac{1296*10x^{9}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)cos^{2}(x)}{sin^{4}(x)} + \frac{1296x^{10}({x}^{(\frac{36x^{5}}{sin(x)})}((\frac{36*5x^{4}}{sin(x)} + \frac{36x^{5}*-cos(x)}{sin^{2}(x)})ln(x) + \frac{(\frac{36x^{5}}{sin(x)})(1)}{(x)}))ln^{2}(x)cos^{2}(x)}{sin^{4}(x)} + \frac{1296x^{10}{x}^{(\frac{36x^{5}}{sin(x)})}*2ln(x)cos^{2}(x)}{(x)sin^{4}(x)} + \frac{1296x^{10}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)*-4cos(x)cos^{2}(x)}{sin^{5}(x)} + \frac{1296x^{10}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)*-2cos(x)sin(x)}{sin^{4}(x)} - \frac{12960*9x^{8}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)cos(x)}{sin^{3}(x)} - \frac{12960x^{9}({x}^{(\frac{36x^{5}}{sin(x)})}((\frac{36*5x^{4}}{sin(x)} + \frac{36x^{5}*-cos(x)}{sin^{2}(x)})ln(x) + \frac{(\frac{36x^{5}}{sin(x)})(1)}{(x)}))ln^{2}(x)cos(x)}{sin^{3}(x)} - \frac{12960x^{9}{x}^{(\frac{36x^{5}}{sin(x)})}*2ln(x)cos(x)}{(x)sin^{3}(x)} - \frac{12960x^{9}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)*-3cos(x)cos(x)}{sin^{4}(x)} - \frac{12960x^{9}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)*-sin(x)}{sin^{3}(x)} - \frac{2592*9x^{8}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)cos(x)}{sin^{3}(x)} - \frac{2592x^{9}({x}^{(\frac{36x^{5}}{sin(x)})}((\frac{36*5x^{4}}{sin(x)} + \frac{36x^{5}*-cos(x)}{sin^{2}(x)})ln(x) + \frac{(\frac{36x^{5}}{sin(x)})(1)}{(x)}))ln(x)cos(x)}{sin^{3}(x)} - \frac{2592x^{9}{x}^{(\frac{36x^{5}}{sin(x)})}cos(x)}{(x)sin^{3}(x)} - \frac{2592x^{9}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)*-3cos(x)cos(x)}{sin^{4}(x)} - \frac{2592x^{9}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)*-sin(x)}{sin^{3}(x)} - \frac{72*4x^{3}{x}^{(\frac{36x^{5}}{sin(x)})}cos(x)}{sin^{2}(x)} - \frac{72x^{4}({x}^{(\frac{36x^{5}}{sin(x)})}((\frac{36*5x^{4}}{sin(x)} + \frac{36x^{5}*-cos(x)}{sin^{2}(x)})ln(x) + \frac{(\frac{36x^{5}}{sin(x)})(1)}{(x)}))cos(x)}{sin^{2}(x)} - \frac{72x^{4}{x}^{(\frac{36x^{5}}{sin(x)})}*-2cos(x)cos(x)}{sin^{3}(x)} - \frac{72x^{4}{x}^{(\frac{36x^{5}}{sin(x)})}*-sin(x)}{sin^{2}(x)} + \frac{72*5x^{4}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)cos^{2}(x)}{sin^{3}(x)} + \frac{72x^{5}({x}^{(\frac{36x^{5}}{sin(x)})}((\frac{36*5x^{4}}{sin(x)} + \frac{36x^{5}*-cos(x)}{sin^{2}(x)})ln(x) + \frac{(\frac{36x^{5}}{sin(x)})(1)}{(x)}))ln(x)cos^{2}(x)}{sin^{3}(x)} + \frac{72x^{5}{x}^{(\frac{36x^{5}}{sin(x)})}cos^{2}(x)}{(x)sin^{3}(x)} + \frac{72x^{5}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)*-3cos(x)cos^{2}(x)}{sin^{4}(x)} + \frac{72x^{5}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)*-2cos(x)sin(x)}{sin^{3}(x)} + \frac{36*5x^{4}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)}{sin(x)} + \frac{36x^{5}({x}^{(\frac{36x^{5}}{sin(x)})}((\frac{36*5x^{4}}{sin(x)} + \frac{36x^{5}*-cos(x)}{sin^{2}(x)})ln(x) + \frac{(\frac{36x^{5}}{sin(x)})(1)}{(x)}))ln(x)}{sin(x)} + \frac{36x^{5}{x}^{(\frac{36x^{5}}{sin(x)})}}{(x)sin(x)} + \frac{36x^{5}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)*-cos(x)}{sin^{2}(x)} + \frac{720*3x^{2}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)}{sin(x)} + \frac{720x^{3}({x}^{(\frac{36x^{5}}{sin(x)})}((\frac{36*5x^{4}}{sin(x)} + \frac{36x^{5}*-cos(x)}{sin^{2}(x)})ln(x) + \frac{(\frac{36x^{5}}{sin(x)})(1)}{(x)}))ln(x)}{sin(x)} + \frac{720x^{3}{x}^{(\frac{36x^{5}}{sin(x)})}}{(x)sin(x)} + \frac{720x^{3}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)*-cos(x)}{sin^{2}(x)} + \frac{32400*8x^{7}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)}{sin^{2}(x)} + \frac{32400x^{8}({x}^{(\frac{36x^{5}}{sin(x)})}((\frac{36*5x^{4}}{sin(x)} + \frac{36x^{5}*-cos(x)}{sin^{2}(x)})ln(x) + \frac{(\frac{36x^{5}}{sin(x)})(1)}{(x)}))ln^{2}(x)}{sin^{2}(x)} + \frac{32400x^{8}{x}^{(\frac{36x^{5}}{sin(x)})}*2ln(x)}{(x)sin^{2}(x)} + \frac{32400x^{8}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)*-2cos(x)}{sin^{3}(x)} + \frac{12960*8x^{7}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)}{sin^{2}(x)} + \frac{12960x^{8}({x}^{(\frac{36x^{5}}{sin(x)})}((\frac{36*5x^{4}}{sin(x)} + \frac{36x^{5}*-cos(x)}{sin^{2}(x)})ln(x) + \frac{(\frac{36x^{5}}{sin(x)})(1)}{(x)}))ln(x)}{sin^{2}(x)} + \frac{12960x^{8}{x}^{(\frac{36x^{5}}{sin(x)})}}{(x)sin^{2}(x)} + \frac{12960x^{8}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)*-2cos(x)}{sin^{3}(x)} + \frac{324*3x^{2}{x}^{(\frac{36x^{5}}{sin(x)})}}{sin(x)} + \frac{324x^{3}({x}^{(\frac{36x^{5}}{sin(x)})}((\frac{36*5x^{4}}{sin(x)} + \frac{36x^{5}*-cos(x)}{sin^{2}(x)})ln(x) + \frac{(\frac{36x^{5}}{sin(x)})(1)}{(x)}))}{sin(x)} + \frac{324x^{3}{x}^{(\frac{36x^{5}}{sin(x)})}*-cos(x)}{sin^{2}(x)} + \frac{1296*8x^{7}{x}^{(\frac{36x^{5}}{sin(x)})}}{sin^{2}(x)} + \frac{1296x^{8}({x}^{(\frac{36x^{5}}{sin(x)})}((\frac{36*5x^{4}}{sin(x)} + \frac{36x^{5}*-cos(x)}{sin^{2}(x)})ln(x) + \frac{(\frac{36x^{5}}{sin(x)})(1)}{(x)}))}{sin^{2}(x)} + \frac{1296x^{8}{x}^{(\frac{36x^{5}}{sin(x)})}*-2cos(x)}{sin^{3}(x)}\\=&\frac{-2160x^{3}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)cos(x)}{sin^{2}(x)} + \frac{77760x^{9}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)cos^{2}(x)}{sin^{4}(x)} - \frac{46656x^{15}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{3}(x)cos^{3}(x)}{sin^{6}(x)} - \frac{112752x^{8}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)cos(x)}{sin^{3}(x)} - \frac{972x^{3}{x}^{(\frac{36x^{5}}{sin(x)})}cos(x)}{sin^{2}(x)} + \frac{1080x^{4}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)cos^{2}(x)}{sin^{3}(x)} - \frac{3888x^{10}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)cos(x)}{sin^{3}(x)} + \frac{699840x^{14}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{3}(x)cos^{2}(x)}{sin^{5}(x)} + \frac{139968x^{14}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)cos^{2}(x)}{sin^{5}(x)} + \frac{15552x^{9}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)cos^{2}(x)}{sin^{4}(x)} - \frac{7776x^{10}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)cos^{3}(x)}{sin^{5}(x)} - \frac{180x^{5}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)cos(x)}{sin^{2}(x)} - \frac{272160x^{8}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)cos(x)}{sin^{3}(x)} - \frac{1399680x^{13}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)cos(x)}{sin^{4}(x)} - \frac{216x^{5}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)cos^{3}(x)}{sin^{4}(x)} - \frac{139968x^{13}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)cos(x)}{sin^{4}(x)} - \frac{7776x^{8}{x}^{(\frac{36x^{5}}{sin(x)})}cos(x)}{sin^{3}(x)} - \frac{3499200x^{13}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{3}(x)cos(x)}{sin^{4}(x)} + \frac{216x^{4}{x}^{(\frac{36x^{5}}{sin(x)})}cos^{2}(x)}{sin^{3}(x)} + \frac{108x^{4}{x}^{(\frac{36x^{5}}{sin(x)})}}{sin(x)} + \frac{3888x^{9}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)}{sin^{2}(x)} + \frac{19440x^{9}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)}{sin^{2}(x)} + \frac{540x^{4}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)}{sin(x)} + \frac{2160x^{2}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)}{sin(x)} + \frac{252720x^{7}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)}{sin^{2}(x)} + \frac{1692x^{2}{x}^{(\frac{36x^{5}}{sin(x)})}}{sin(x)} + \frac{388800x^{7}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)}{sin^{2}(x)} + \frac{5832000x^{12}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{3}(x)}{sin^{3}(x)} + \frac{3499200x^{12}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)}{sin^{3}(x)} + \frac{699840x^{12}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)}{sin^{3}(x)} + \frac{34992x^{7}{x}^{(\frac{36x^{5}}{sin(x)})}}{sin^{2}(x)} + \frac{46656x^{12}{x}^{(\frac{36x^{5}}{sin(x)})}}{sin^{3}(x)}\\\\ &\color{blue}{函数的第 4 阶导数：} \\&\frac{d\left( \frac{-2160x^{3}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)cos(x)}{sin^{2}(x)} + \frac{77760x^{9}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)cos^{2}(x)}{sin^{4}(x)} - \frac{46656x^{15}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{3}(x)cos^{3}(x)}{sin^{6}(x)} - \frac{112752x^{8}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)cos(x)}{sin^{3}(x)} - \frac{972x^{3}{x}^{(\frac{36x^{5}}{sin(x)})}cos(x)}{sin^{2}(x)} + \frac{1080x^{4}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)cos^{2}(x)}{sin^{3}(x)} - \frac{3888x^{10}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)cos(x)}{sin^{3}(x)} + \frac{699840x^{14}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{3}(x)cos^{2}(x)}{sin^{5}(x)} + \frac{139968x^{14}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)cos^{2}(x)}{sin^{5}(x)} + \frac{15552x^{9}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)cos^{2}(x)}{sin^{4}(x)} - \frac{7776x^{10}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)cos^{3}(x)}{sin^{5}(x)} - \frac{180x^{5}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)cos(x)}{sin^{2}(x)} - \frac{272160x^{8}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)cos(x)}{sin^{3}(x)} - \frac{1399680x^{13}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)cos(x)}{sin^{4}(x)} - \frac{216x^{5}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)cos^{3}(x)}{sin^{4}(x)} - \frac{139968x^{13}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)cos(x)}{sin^{4}(x)} - \frac{7776x^{8}{x}^{(\frac{36x^{5}}{sin(x)})}cos(x)}{sin^{3}(x)} - \frac{3499200x^{13}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{3}(x)cos(x)}{sin^{4}(x)} + \frac{216x^{4}{x}^{(\frac{36x^{5}}{sin(x)})}cos^{2}(x)}{sin^{3}(x)} + \frac{108x^{4}{x}^{(\frac{36x^{5}}{sin(x)})}}{sin(x)} + \frac{3888x^{9}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)}{sin^{2}(x)} + \frac{19440x^{9}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)}{sin^{2}(x)} + \frac{540x^{4}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)}{sin(x)} + \frac{2160x^{2}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)}{sin(x)} + \frac{252720x^{7}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)}{sin^{2}(x)} + \frac{1692x^{2}{x}^{(\frac{36x^{5}}{sin(x)})}}{sin(x)} + \frac{388800x^{7}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)}{sin^{2}(x)} + \frac{5832000x^{12}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{3}(x)}{sin^{3}(x)} + \frac{3499200x^{12}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)}{sin^{3}(x)} + \frac{699840x^{12}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)}{sin^{3}(x)} + \frac{34992x^{7}{x}^{(\frac{36x^{5}}{sin(x)})}}{sin^{2}(x)} + \frac{46656x^{12}{x}^{(\frac{36x^{5}}{sin(x)})}}{sin^{3}(x)}\right)}{dx}\\=&\frac{-2160*3x^{2}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)cos(x)}{sin^{2}(x)} - \frac{2160x^{3}({x}^{(\frac{36x^{5}}{sin(x)})}((\frac{36*5x^{4}}{sin(x)} + \frac{36x^{5}*-cos(x)}{sin^{2}(x)})ln(x) + \frac{(\frac{36x^{5}}{sin(x)})(1)}{(x)}))ln(x)cos(x)}{sin^{2}(x)} - \frac{2160x^{3}{x}^{(\frac{36x^{5}}{sin(x)})}cos(x)}{(x)sin^{2}(x)} - \frac{2160x^{3}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)*-2cos(x)cos(x)}{sin^{3}(x)} - \frac{2160x^{3}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)*-sin(x)}{sin^{2}(x)} + \frac{77760*9x^{8}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)cos^{2}(x)}{sin^{4}(x)} + \frac{77760x^{9}({x}^{(\frac{36x^{5}}{sin(x)})}((\frac{36*5x^{4}}{sin(x)} + \frac{36x^{5}*-cos(x)}{sin^{2}(x)})ln(x) + \frac{(\frac{36x^{5}}{sin(x)})(1)}{(x)}))ln^{2}(x)cos^{2}(x)}{sin^{4}(x)} + \frac{77760x^{9}{x}^{(\frac{36x^{5}}{sin(x)})}*2ln(x)cos^{2}(x)}{(x)sin^{4}(x)} + \frac{77760x^{9}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)*-4cos(x)cos^{2}(x)}{sin^{5}(x)} + \frac{77760x^{9}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)*-2cos(x)sin(x)}{sin^{4}(x)} - \frac{46656*15x^{14}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{3}(x)cos^{3}(x)}{sin^{6}(x)} - \frac{46656x^{15}({x}^{(\frac{36x^{5}}{sin(x)})}((\frac{36*5x^{4}}{sin(x)} + \frac{36x^{5}*-cos(x)}{sin^{2}(x)})ln(x) + \frac{(\frac{36x^{5}}{sin(x)})(1)}{(x)}))ln^{3}(x)cos^{3}(x)}{sin^{6}(x)} - \frac{46656x^{15}{x}^{(\frac{36x^{5}}{sin(x)})}*3ln^{2}(x)cos^{3}(x)}{(x)sin^{6}(x)} - \frac{46656x^{15}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{3}(x)*-6cos(x)cos^{3}(x)}{sin^{7}(x)} - \frac{46656x^{15}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{3}(x)*-3cos^{2}(x)sin(x)}{sin^{6}(x)} - \frac{112752*8x^{7}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)cos(x)}{sin^{3}(x)} - \frac{112752x^{8}({x}^{(\frac{36x^{5}}{sin(x)})}((\frac{36*5x^{4}}{sin(x)} + \frac{36x^{5}*-cos(x)}{sin^{2}(x)})ln(x) + \frac{(\frac{36x^{5}}{sin(x)})(1)}{(x)}))ln(x)cos(x)}{sin^{3}(x)} - \frac{112752x^{8}{x}^{(\frac{36x^{5}}{sin(x)})}cos(x)}{(x)sin^{3}(x)} - \frac{112752x^{8}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)*-3cos(x)cos(x)}{sin^{4}(x)} - \frac{112752x^{8}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)*-sin(x)}{sin^{3}(x)} - \frac{972*3x^{2}{x}^{(\frac{36x^{5}}{sin(x)})}cos(x)}{sin^{2}(x)} - \frac{972x^{3}({x}^{(\frac{36x^{5}}{sin(x)})}((\frac{36*5x^{4}}{sin(x)} + \frac{36x^{5}*-cos(x)}{sin^{2}(x)})ln(x) + \frac{(\frac{36x^{5}}{sin(x)})(1)}{(x)}))cos(x)}{sin^{2}(x)} - \frac{972x^{3}{x}^{(\frac{36x^{5}}{sin(x)})}*-2cos(x)cos(x)}{sin^{3}(x)} - \frac{972x^{3}{x}^{(\frac{36x^{5}}{sin(x)})}*-sin(x)}{sin^{2}(x)} + \frac{1080*4x^{3}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)cos^{2}(x)}{sin^{3}(x)} + \frac{1080x^{4}({x}^{(\frac{36x^{5}}{sin(x)})}((\frac{36*5x^{4}}{sin(x)} + \frac{36x^{5}*-cos(x)}{sin^{2}(x)})ln(x) + \frac{(\frac{36x^{5}}{sin(x)})(1)}{(x)}))ln(x)cos^{2}(x)}{sin^{3}(x)} + \frac{1080x^{4}{x}^{(\frac{36x^{5}}{sin(x)})}cos^{2}(x)}{(x)sin^{3}(x)} + \frac{1080x^{4}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)*-3cos(x)cos^{2}(x)}{sin^{4}(x)} + \frac{1080x^{4}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)*-2cos(x)sin(x)}{sin^{3}(x)} - \frac{3888*10x^{9}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)cos(x)}{sin^{3}(x)} - \frac{3888x^{10}({x}^{(\frac{36x^{5}}{sin(x)})}((\frac{36*5x^{4}}{sin(x)} + \frac{36x^{5}*-cos(x)}{sin^{2}(x)})ln(x) + \frac{(\frac{36x^{5}}{sin(x)})(1)}{(x)}))ln^{2}(x)cos(x)}{sin^{3}(x)} - \frac{3888x^{10}{x}^{(\frac{36x^{5}}{sin(x)})}*2ln(x)cos(x)}{(x)sin^{3}(x)} - \frac{3888x^{10}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)*-3cos(x)cos(x)}{sin^{4}(x)} - \frac{3888x^{10}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)*-sin(x)}{sin^{3}(x)} + \frac{699840*14x^{13}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{3}(x)cos^{2}(x)}{sin^{5}(x)} + \frac{699840x^{14}({x}^{(\frac{36x^{5}}{sin(x)})}((\frac{36*5x^{4}}{sin(x)} + \frac{36x^{5}*-cos(x)}{sin^{2}(x)})ln(x) + \frac{(\frac{36x^{5}}{sin(x)})(1)}{(x)}))ln^{3}(x)cos^{2}(x)}{sin^{5}(x)} + \frac{699840x^{14}{x}^{(\frac{36x^{5}}{sin(x)})}*3ln^{2}(x)cos^{2}(x)}{(x)sin^{5}(x)} + \frac{699840x^{14}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{3}(x)*-5cos(x)cos^{2}(x)}{sin^{6}(x)} + \frac{699840x^{14}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{3}(x)*-2cos(x)sin(x)}{sin^{5}(x)} + \frac{139968*14x^{13}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)cos^{2}(x)}{sin^{5}(x)} + \frac{139968x^{14}({x}^{(\frac{36x^{5}}{sin(x)})}((\frac{36*5x^{4}}{sin(x)} + \frac{36x^{5}*-cos(x)}{sin^{2}(x)})ln(x) + \frac{(\frac{36x^{5}}{sin(x)})(1)}{(x)}))ln^{2}(x)cos^{2}(x)}{sin^{5}(x)} + \frac{139968x^{14}{x}^{(\frac{36x^{5}}{sin(x)})}*2ln(x)cos^{2}(x)}{(x)sin^{5}(x)} + \frac{139968x^{14}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)*-5cos(x)cos^{2}(x)}{sin^{6}(x)} + \frac{139968x^{14}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)*-2cos(x)sin(x)}{sin^{5}(x)} + \frac{15552*9x^{8}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)cos^{2}(x)}{sin^{4}(x)} + \frac{15552x^{9}({x}^{(\frac{36x^{5}}{sin(x)})}((\frac{36*5x^{4}}{sin(x)} + \frac{36x^{5}*-cos(x)}{sin^{2}(x)})ln(x) + \frac{(\frac{36x^{5}}{sin(x)})(1)}{(x)}))ln(x)cos^{2}(x)}{sin^{4}(x)} + \frac{15552x^{9}{x}^{(\frac{36x^{5}}{sin(x)})}cos^{2}(x)}{(x)sin^{4}(x)} + \frac{15552x^{9}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)*-4cos(x)cos^{2}(x)}{sin^{5}(x)} + \frac{15552x^{9}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)*-2cos(x)sin(x)}{sin^{4}(x)} - \frac{7776*10x^{9}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)cos^{3}(x)}{sin^{5}(x)} - \frac{7776x^{10}({x}^{(\frac{36x^{5}}{sin(x)})}((\frac{36*5x^{4}}{sin(x)} + \frac{36x^{5}*-cos(x)}{sin^{2}(x)})ln(x) + \frac{(\frac{36x^{5}}{sin(x)})(1)}{(x)}))ln^{2}(x)cos^{3}(x)}{sin^{5}(x)} - \frac{7776x^{10}{x}^{(\frac{36x^{5}}{sin(x)})}*2ln(x)cos^{3}(x)}{(x)sin^{5}(x)} - \frac{7776x^{10}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)*-5cos(x)cos^{3}(x)}{sin^{6}(x)} - \frac{7776x^{10}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)*-3cos^{2}(x)sin(x)}{sin^{5}(x)} - \frac{180*5x^{4}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)cos(x)}{sin^{2}(x)} - \frac{180x^{5}({x}^{(\frac{36x^{5}}{sin(x)})}((\frac{36*5x^{4}}{sin(x)} + \frac{36x^{5}*-cos(x)}{sin^{2}(x)})ln(x) + \frac{(\frac{36x^{5}}{sin(x)})(1)}{(x)}))ln(x)cos(x)}{sin^{2}(x)} - \frac{180x^{5}{x}^{(\frac{36x^{5}}{sin(x)})}cos(x)}{(x)sin^{2}(x)} - \frac{180x^{5}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)*-2cos(x)cos(x)}{sin^{3}(x)} - \frac{180x^{5}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)*-sin(x)}{sin^{2}(x)} - \frac{272160*8x^{7}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)cos(x)}{sin^{3}(x)} - \frac{272160x^{8}({x}^{(\frac{36x^{5}}{sin(x)})}((\frac{36*5x^{4}}{sin(x)} + \frac{36x^{5}*-cos(x)}{sin^{2}(x)})ln(x) + \frac{(\frac{36x^{5}}{sin(x)})(1)}{(x)}))ln^{2}(x)cos(x)}{sin^{3}(x)} - \frac{272160x^{8}{x}^{(\frac{36x^{5}}{sin(x)})}*2ln(x)cos(x)}{(x)sin^{3}(x)} - \frac{272160x^{8}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)*-3cos(x)cos(x)}{sin^{4}(x)} - \frac{272160x^{8}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)*-sin(x)}{sin^{3}(x)} - \frac{1399680*13x^{12}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)cos(x)}{sin^{4}(x)} - \frac{1399680x^{13}({x}^{(\frac{36x^{5}}{sin(x)})}((\frac{36*5x^{4}}{sin(x)} + \frac{36x^{5}*-cos(x)}{sin^{2}(x)})ln(x) + \frac{(\frac{36x^{5}}{sin(x)})(1)}{(x)}))ln^{2}(x)cos(x)}{sin^{4}(x)} - \frac{1399680x^{13}{x}^{(\frac{36x^{5}}{sin(x)})}*2ln(x)cos(x)}{(x)sin^{4}(x)} - \frac{1399680x^{13}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)*-4cos(x)cos(x)}{sin^{5}(x)} - \frac{1399680x^{13}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)*-sin(x)}{sin^{4}(x)} - \frac{216*5x^{4}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)cos^{3}(x)}{sin^{4}(x)} - \frac{216x^{5}({x}^{(\frac{36x^{5}}{sin(x)})}((\frac{36*5x^{4}}{sin(x)} + \frac{36x^{5}*-cos(x)}{sin^{2}(x)})ln(x) + \frac{(\frac{36x^{5}}{sin(x)})(1)}{(x)}))ln(x)cos^{3}(x)}{sin^{4}(x)} - \frac{216x^{5}{x}^{(\frac{36x^{5}}{sin(x)})}cos^{3}(x)}{(x)sin^{4}(x)} - \frac{216x^{5}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)*-4cos(x)cos^{3}(x)}{sin^{5}(x)} - \frac{216x^{5}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)*-3cos^{2}(x)sin(x)}{sin^{4}(x)} - \frac{139968*13x^{12}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)cos(x)}{sin^{4}(x)} - \frac{139968x^{13}({x}^{(\frac{36x^{5}}{sin(x)})}((\frac{36*5x^{4}}{sin(x)} + \frac{36x^{5}*-cos(x)}{sin^{2}(x)})ln(x) + \frac{(\frac{36x^{5}}{sin(x)})(1)}{(x)}))ln(x)cos(x)}{sin^{4}(x)} - \frac{139968x^{13}{x}^{(\frac{36x^{5}}{sin(x)})}cos(x)}{(x)sin^{4}(x)} - \frac{139968x^{13}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)*-4cos(x)cos(x)}{sin^{5}(x)} - \frac{139968x^{13}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)*-sin(x)}{sin^{4}(x)} - \frac{7776*8x^{7}{x}^{(\frac{36x^{5}}{sin(x)})}cos(x)}{sin^{3}(x)} - \frac{7776x^{8}({x}^{(\frac{36x^{5}}{sin(x)})}((\frac{36*5x^{4}}{sin(x)} + \frac{36x^{5}*-cos(x)}{sin^{2}(x)})ln(x) + \frac{(\frac{36x^{5}}{sin(x)})(1)}{(x)}))cos(x)}{sin^{3}(x)} - \frac{7776x^{8}{x}^{(\frac{36x^{5}}{sin(x)})}*-3cos(x)cos(x)}{sin^{4}(x)} - \frac{7776x^{8}{x}^{(\frac{36x^{5}}{sin(x)})}*-sin(x)}{sin^{3}(x)} - \frac{3499200*13x^{12}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{3}(x)cos(x)}{sin^{4}(x)} - \frac{3499200x^{13}({x}^{(\frac{36x^{5}}{sin(x)})}((\frac{36*5x^{4}}{sin(x)} + \frac{36x^{5}*-cos(x)}{sin^{2}(x)})ln(x) + \frac{(\frac{36x^{5}}{sin(x)})(1)}{(x)}))ln^{3}(x)cos(x)}{sin^{4}(x)} - \frac{3499200x^{13}{x}^{(\frac{36x^{5}}{sin(x)})}*3ln^{2}(x)cos(x)}{(x)sin^{4}(x)} - \frac{3499200x^{13}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{3}(x)*-4cos(x)cos(x)}{sin^{5}(x)} - \frac{3499200x^{13}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{3}(x)*-sin(x)}{sin^{4}(x)} + \frac{216*4x^{3}{x}^{(\frac{36x^{5}}{sin(x)})}cos^{2}(x)}{sin^{3}(x)} + \frac{216x^{4}({x}^{(\frac{36x^{5}}{sin(x)})}((\frac{36*5x^{4}}{sin(x)} + \frac{36x^{5}*-cos(x)}{sin^{2}(x)})ln(x) + \frac{(\frac{36x^{5}}{sin(x)})(1)}{(x)}))cos^{2}(x)}{sin^{3}(x)} + \frac{216x^{4}{x}^{(\frac{36x^{5}}{sin(x)})}*-3cos(x)cos^{2}(x)}{sin^{4}(x)} + \frac{216x^{4}{x}^{(\frac{36x^{5}}{sin(x)})}*-2cos(x)sin(x)}{sin^{3}(x)} + \frac{108*4x^{3}{x}^{(\frac{36x^{5}}{sin(x)})}}{sin(x)} + \frac{108x^{4}({x}^{(\frac{36x^{5}}{sin(x)})}((\frac{36*5x^{4}}{sin(x)} + \frac{36x^{5}*-cos(x)}{sin^{2}(x)})ln(x) + \frac{(\frac{36x^{5}}{sin(x)})(1)}{(x)}))}{sin(x)} + \frac{108x^{4}{x}^{(\frac{36x^{5}}{sin(x)})}*-cos(x)}{sin^{2}(x)} + \frac{3888*9x^{8}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)}{sin^{2}(x)} + \frac{3888x^{9}({x}^{(\frac{36x^{5}}{sin(x)})}((\frac{36*5x^{4}}{sin(x)} + \frac{36x^{5}*-cos(x)}{sin^{2}(x)})ln(x) + \frac{(\frac{36x^{5}}{sin(x)})(1)}{(x)}))ln(x)}{sin^{2}(x)} + \frac{3888x^{9}{x}^{(\frac{36x^{5}}{sin(x)})}}{(x)sin^{2}(x)} + \frac{3888x^{9}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)*-2cos(x)}{sin^{3}(x)} + \frac{19440*9x^{8}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)}{sin^{2}(x)} + \frac{19440x^{9}({x}^{(\frac{36x^{5}}{sin(x)})}((\frac{36*5x^{4}}{sin(x)} + \frac{36x^{5}*-cos(x)}{sin^{2}(x)})ln(x) + \frac{(\frac{36x^{5}}{sin(x)})(1)}{(x)}))ln^{2}(x)}{sin^{2}(x)} + \frac{19440x^{9}{x}^{(\frac{36x^{5}}{sin(x)})}*2ln(x)}{(x)sin^{2}(x)} + \frac{19440x^{9}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)*-2cos(x)}{sin^{3}(x)} + \frac{540*4x^{3}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)}{sin(x)} + \frac{540x^{4}({x}^{(\frac{36x^{5}}{sin(x)})}((\frac{36*5x^{4}}{sin(x)} + \frac{36x^{5}*-cos(x)}{sin^{2}(x)})ln(x) + \frac{(\frac{36x^{5}}{sin(x)})(1)}{(x)}))ln(x)}{sin(x)} + \frac{540x^{4}{x}^{(\frac{36x^{5}}{sin(x)})}}{(x)sin(x)} + \frac{540x^{4}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)*-cos(x)}{sin^{2}(x)} + \frac{2160*2x{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)}{sin(x)} + \frac{2160x^{2}({x}^{(\frac{36x^{5}}{sin(x)})}((\frac{36*5x^{4}}{sin(x)} + \frac{36x^{5}*-cos(x)}{sin^{2}(x)})ln(x) + \frac{(\frac{36x^{5}}{sin(x)})(1)}{(x)}))ln(x)}{sin(x)} + \frac{2160x^{2}{x}^{(\frac{36x^{5}}{sin(x)})}}{(x)sin(x)} + \frac{2160x^{2}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)*-cos(x)}{sin^{2}(x)} + \frac{252720*7x^{6}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)}{sin^{2}(x)} + \frac{252720x^{7}({x}^{(\frac{36x^{5}}{sin(x)})}((\frac{36*5x^{4}}{sin(x)} + \frac{36x^{5}*-cos(x)}{sin^{2}(x)})ln(x) + \frac{(\frac{36x^{5}}{sin(x)})(1)}{(x)}))ln(x)}{sin^{2}(x)} + \frac{252720x^{7}{x}^{(\frac{36x^{5}}{sin(x)})}}{(x)sin^{2}(x)} + \frac{252720x^{7}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)*-2cos(x)}{sin^{3}(x)} + \frac{1692*2x{x}^{(\frac{36x^{5}}{sin(x)})}}{sin(x)} + \frac{1692x^{2}({x}^{(\frac{36x^{5}}{sin(x)})}((\frac{36*5x^{4}}{sin(x)} + \frac{36x^{5}*-cos(x)}{sin^{2}(x)})ln(x) + \frac{(\frac{36x^{5}}{sin(x)})(1)}{(x)}))}{sin(x)} + \frac{1692x^{2}{x}^{(\frac{36x^{5}}{sin(x)})}*-cos(x)}{sin^{2}(x)} + \frac{388800*7x^{6}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)}{sin^{2}(x)} + \frac{388800x^{7}({x}^{(\frac{36x^{5}}{sin(x)})}((\frac{36*5x^{4}}{sin(x)} + \frac{36x^{5}*-cos(x)}{sin^{2}(x)})ln(x) + \frac{(\frac{36x^{5}}{sin(x)})(1)}{(x)}))ln^{2}(x)}{sin^{2}(x)} + \frac{388800x^{7}{x}^{(\frac{36x^{5}}{sin(x)})}*2ln(x)}{(x)sin^{2}(x)} + \frac{388800x^{7}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)*-2cos(x)}{sin^{3}(x)} + \frac{5832000*12x^{11}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{3}(x)}{sin^{3}(x)} + \frac{5832000x^{12}({x}^{(\frac{36x^{5}}{sin(x)})}((\frac{36*5x^{4}}{sin(x)} + \frac{36x^{5}*-cos(x)}{sin^{2}(x)})ln(x) + \frac{(\frac{36x^{5}}{sin(x)})(1)}{(x)}))ln^{3}(x)}{sin^{3}(x)} + \frac{5832000x^{12}{x}^{(\frac{36x^{5}}{sin(x)})}*3ln^{2}(x)}{(x)sin^{3}(x)} + \frac{5832000x^{12}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{3}(x)*-3cos(x)}{sin^{4}(x)} + \frac{3499200*12x^{11}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)}{sin^{3}(x)} + \frac{3499200x^{12}({x}^{(\frac{36x^{5}}{sin(x)})}((\frac{36*5x^{4}}{sin(x)} + \frac{36x^{5}*-cos(x)}{sin^{2}(x)})ln(x) + \frac{(\frac{36x^{5}}{sin(x)})(1)}{(x)}))ln^{2}(x)}{sin^{3}(x)} + \frac{3499200x^{12}{x}^{(\frac{36x^{5}}{sin(x)})}*2ln(x)}{(x)sin^{3}(x)} + \frac{3499200x^{12}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)*-3cos(x)}{sin^{4}(x)} + \frac{699840*12x^{11}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)}{sin^{3}(x)} + \frac{699840x^{12}({x}^{(\frac{36x^{5}}{sin(x)})}((\frac{36*5x^{4}}{sin(x)} + \frac{36x^{5}*-cos(x)}{sin^{2}(x)})ln(x) + \frac{(\frac{36x^{5}}{sin(x)})(1)}{(x)}))ln(x)}{sin^{3}(x)} + \frac{699840x^{12}{x}^{(\frac{36x^{5}}{sin(x)})}}{(x)sin^{3}(x)} + \frac{699840x^{12}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)*-3cos(x)}{sin^{4}(x)} + \frac{34992*7x^{6}{x}^{(\frac{36x^{5}}{sin(x)})}}{sin^{2}(x)} + \frac{34992x^{7}({x}^{(\frac{36x^{5}}{sin(x)})}((\frac{36*5x^{4}}{sin(x)} + \frac{36x^{5}*-cos(x)}{sin^{2}(x)})ln(x) + \frac{(\frac{36x^{5}}{sin(x)})(1)}{(x)}))}{sin^{2}(x)} + \frac{34992x^{7}{x}^{(\frac{36x^{5}}{sin(x)})}*-2cos(x)}{sin^{3}(x)} + \frac{46656*12x^{11}{x}^{(\frac{36x^{5}}{sin(x)})}}{sin^{3}(x)} + \frac{46656x^{12}({x}^{(\frac{36x^{5}}{sin(x)})}((\frac{36*5x^{4}}{sin(x)} + \frac{36x^{5}*-cos(x)}{sin^{2}(x)})ln(x) + \frac{(\frac{36x^{5}}{sin(x)})(1)}{(x)}))}{sin^{3}(x)} + \frac{46656x^{12}{x}^{(\frac{36x^{5}}{sin(x)})}*-3cos(x)}{sin^{4}(x)}\\=&\frac{-8640x^{2}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)cos(x)}{sin^{2}(x)} + \frac{1788480x^{8}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)cos^{2}(x)}{sin^{4}(x)} - \frac{8398080x^{14}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{3}(x)cos^{3}(x)}{sin^{6}(x)} - \frac{2265408x^{7}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)cos(x)}{sin^{3}(x)} - \frac{6768x^{2}{x}^{(\frac{36x^{5}}{sin(x)})}cos(x)}{sin^{2}(x)} + \frac{8640x^{3}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)cos^{2}(x)}{sin^{3}(x)} - \frac{285120x^{9}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)cos(x)}{sin^{3}(x)} + \frac{1679616x^{20}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{4}(x)cos^{4}(x)}{sin^{8}(x)} + \frac{19315584x^{13}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)cos^{2}(x)}{sin^{5}(x)} + \frac{746496x^{8}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)cos^{2}(x)}{sin^{4}(x)} - \frac{466560x^{9}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)cos^{3}(x)}{sin^{5}(x)} + \frac{279936x^{15}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{3}(x)cos^{2}(x)}{sin^{5}(x)} - \frac{6718464x^{19}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{3}(x)cos^{3}(x)}{sin^{7}(x)} - \frac{1679616x^{14}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)cos^{3}(x)}{sin^{6}(x)} + \frac{559872x^{15}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{3}(x)cos^{4}(x)}{sin^{7}(x)} - \frac{3600x^{4}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)cos(x)}{sin^{2}(x)} - \frac{33592320x^{19}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{4}(x)cos^{3}(x)}{sin^{7}(x)} - \frac{13436928x^{12}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)cos(x)}{sin^{4}(x)} - \frac{279936x^{7}{x}^{(\frac{36x^{5}}{sin(x)})}cos(x)}{sin^{3}(x)} - \frac{2799360x^{14}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{3}(x)cos(x)}{sin^{4}(x)} + \frac{1679616x^{13}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)cos^{2}(x)}{sin^{5}(x)} + \frac{3888x^{3}{x}^{(\frac{36x^{5}}{sin(x)})}cos^{2}(x)}{sin^{3}(x)} - \frac{720x^{4}{x}^{(\frac{36x^{5}}{sin(x)})}cos(x)}{sin^{2}(x)} - \frac{4320x^{4}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)cos^{3}(x)}{sin^{4}(x)} - \frac{559872x^{14}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)cos(x)}{sin^{4}(x)} + \frac{41472x^{10}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)cos^{2}(x)}{sin^{4}(x)} + \frac{47589120x^{13}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{3}(x)cos^{2}(x)}{sin^{5}(x)} - \frac{57024x^{9}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)cos(x)}{sin^{3}(x)} + \frac{100776960x^{18}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{3}(x)cos^{2}(x)}{sin^{6}(x)} + \frac{46656x^{10}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)cos^{4}(x)}{sin^{6}(x)} + \frac{10077696x^{18}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)cos^{2}(x)}{sin^{6}(x)} + \frac{251942400x^{18}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{4}(x)cos^{2}(x)}{sin^{6}(x)} + \frac{1008x^{5}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)cos^{2}(x)}{sin^{3}(x)} + \frac{46656x^{8}{x}^{(\frac{36x^{5}}{sin(x)})}cos^{2}(x)}{sin^{4}(x)} - \frac{93312x^{9}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)cos^{3}(x)}{sin^{5}(x)} - \frac{3421440x^{7}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)cos(x)}{sin^{3}(x)} - \frac{78382080x^{12}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)cos(x)}{sin^{4}(x)} + \frac{864x^{5}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)cos^{4}(x)}{sin^{5}(x)} - \frac{125971200x^{12}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{3}(x)cos(x)}{sin^{4}(x)} - \frac{503884800x^{17}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{3}(x)cos(x)}{sin^{5}(x)} - \frac{100776960x^{17}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)cos(x)}{sin^{5}(x)} - \frac{6718464x^{17}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)cos(x)}{sin^{5}(x)} - \frac{839808000x^{17}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{4}(x)cos(x)}{sin^{5}(x)} + \frac{2799360x^{13}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)}{sin^{3}(x)} - \frac{864x^{4}{x}^{(\frac{36x^{5}}{sin(x)})}cos^{3}(x)}{sin^{4}(x)} + \frac{3888x^{10}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)}{sin^{2}(x)} + \frac{4320x^{3}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)}{sin(x)} + \frac{225504x^{8}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)}{sin^{2}(x)} - \frac{559872x^{12}{x}^{(\frac{36x^{5}}{sin(x)})}cos(x)}{sin^{4}(x)} + \frac{279936x^{13}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)}{sin^{3}(x)} + \frac{15552x^{8}{x}^{(\frac{36x^{5}}{sin(x)})}}{sin^{2}(x)} + \frac{544320x^{8}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)}{sin^{2}(x)} + \frac{180x^{5}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)}{sin(x)} + \frac{6998400x^{13}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{3}(x)}{sin^{3}(x)} + \frac{1944x^{3}{x}^{(\frac{36x^{5}}{sin(x)})}}{sin(x)} + \frac{4320x{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)}{sin(x)} + \frac{2928960x^{6}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)}{sin^{2}(x)} + \frac{5544x{x}^{(\frac{36x^{5}}{sin(x)})}}{sin(x)} + \frac{30792960x^{11}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)}{sin^{3}(x)} + \frac{558576x^{6}{x}^{(\frac{36x^{5}}{sin(x)})}}{sin^{2}(x)} + \frac{3110400x^{6}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)}{sin^{2}(x)} + \frac{139968000x^{11}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{3}(x)}{sin^{3}(x)} + \frac{118972800x^{11}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)}{sin^{3}(x)} + \frac{1049760000x^{16}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{4}(x)}{sin^{4}(x)} + \frac{839808000x^{16}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{3}(x)}{sin^{4}(x)} + \frac{251942400x^{16}{x}^{(\frac{36x^{5}}{sin(x)})}ln^{2}(x)}{sin^{4}(x)} + \frac{33592320x^{16}{x}^{(\frac{36x^{5}}{sin(x)})}ln(x)}{sin^{4}(x)} + \frac{2519424x^{11}{x}^{(\frac{36x^{5}}{sin(x)})}}{sin^{3}(x)} + \frac{1679616x^{16}{x}^{(\frac{36x^{5}}{sin(x)})}}{sin^{4}(x)}\\ \end{split}\end{equation} \]

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