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。
\[ \begin{equation}\begin{split}【1/1】求函数{{sh(x)}^{sh(x)}}^{sh(x)} 关于 x 的 4 阶导数:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &\color{blue}{函数的第 1 阶导数:}\\&\frac{d\left( {{sh(x)}^{sh(x)}}^{sh(x)}\right)}{dx}\\=&({{sh(x)}^{sh(x)}}^{sh(x)}((ch(x))ln({sh(x)}^{sh(x)}) + \frac{(sh(x))(({sh(x)}^{sh(x)}((ch(x))ln(sh(x)) + \frac{(sh(x))(ch(x))}{(sh(x))})))}{({sh(x)}^{sh(x)})}))\\=&{{sh(x)}^{sh(x)}}^{sh(x)}ln({sh(x)}^{sh(x)})ch(x) + {{sh(x)}^{sh(x)}}^{sh(x)}ln(sh(x))sh(x)ch(x) + {{sh(x)}^{sh(x)}}^{sh(x)}sh(x)ch(x)\\\\ &\color{blue}{函数的第 2 阶导数:} \\&\frac{d\left( {{sh(x)}^{sh(x)}}^{sh(x)}ln({sh(x)}^{sh(x)})ch(x) + {{sh(x)}^{sh(x)}}^{sh(x)}ln(sh(x))sh(x)ch(x) + {{sh(x)}^{sh(x)}}^{sh(x)}sh(x)ch(x)\right)}{dx}\\=&({{sh(x)}^{sh(x)}}^{sh(x)}((ch(x))ln({sh(x)}^{sh(x)}) + \frac{(sh(x))(({sh(x)}^{sh(x)}((ch(x))ln(sh(x)) + \frac{(sh(x))(ch(x))}{(sh(x))})))}{({sh(x)}^{sh(x)})}))ln({sh(x)}^{sh(x)})ch(x) + \frac{{{sh(x)}^{sh(x)}}^{sh(x)}({sh(x)}^{sh(x)}((ch(x))ln(sh(x)) + \frac{(sh(x))(ch(x))}{(sh(x))}))ch(x)}{({sh(x)}^{sh(x)})} + {{sh(x)}^{sh(x)}}^{sh(x)}ln({sh(x)}^{sh(x)})sh(x) + ({{sh(x)}^{sh(x)}}^{sh(x)}((ch(x))ln({sh(x)}^{sh(x)}) + \frac{(sh(x))(({sh(x)}^{sh(x)}((ch(x))ln(sh(x)) + \frac{(sh(x))(ch(x))}{(sh(x))})))}{({sh(x)}^{sh(x)})}))ln(sh(x))sh(x)ch(x) + \frac{{{sh(x)}^{sh(x)}}^{sh(x)}ch(x)sh(x)ch(x)}{(sh(x))} + {{sh(x)}^{sh(x)}}^{sh(x)}ln(sh(x))ch(x)ch(x) + {{sh(x)}^{sh(x)}}^{sh(x)}ln(sh(x))sh(x)sh(x) + ({{sh(x)}^{sh(x)}}^{sh(x)}((ch(x))ln({sh(x)}^{sh(x)}) + \frac{(sh(x))(({sh(x)}^{sh(x)}((ch(x))ln(sh(x)) + \frac{(sh(x))(ch(x))}{(sh(x))})))}{({sh(x)}^{sh(x)})}))sh(x)ch(x) + {{sh(x)}^{sh(x)}}^{sh(x)}ch(x)ch(x) + {{sh(x)}^{sh(x)}}^{sh(x)}sh(x)sh(x)\\=&{{sh(x)}^{sh(x)}}^{sh(x)}ln^{2}({sh(x)}^{sh(x)})ch^{2}(x) + {{sh(x)}^{sh(x)}}^{sh(x)}ln(sh(x))ln({sh(x)}^{sh(x)})sh(x)ch^{2}(x) + 2{{sh(x)}^{sh(x)}}^{sh(x)}ln({sh(x)}^{sh(x)})sh(x)ch^{2}(x) + 2{{sh(x)}^{sh(x)}}^{sh(x)}ln(sh(x))ch^{2}(x) + 3{{sh(x)}^{sh(x)}}^{sh(x)}ch^{2}(x) + {{sh(x)}^{sh(x)}}^{sh(x)}ln({sh(x)}^{sh(x)})ln(sh(x))sh(x)ch^{2}(x) + {{sh(x)}^{sh(x)}}^{sh(x)}ln^{2}(sh(x))sh^{2}(x)ch^{2}(x) + 2{{sh(x)}^{sh(x)}}^{sh(x)}ln(sh(x))sh^{2}(x)ch^{2}(x) + {{sh(x)}^{sh(x)}}^{sh(x)}ln({sh(x)}^{sh(x)})sh(x) + {{sh(x)}^{sh(x)}}^{sh(x)}ln(sh(x))sh^{2}(x) + {{sh(x)}^{sh(x)}}^{sh(x)}sh^{2}(x)ch^{2}(x) + {{sh(x)}^{sh(x)}}^{sh(x)}sh^{2}(x)\\\\ &\color{blue}{函数的第 3 阶导数:} \\&\frac{d\left( {{sh(x)}^{sh(x)}}^{sh(x)}ln^{2}({sh(x)}^{sh(x)})ch^{2}(x) + {{sh(x)}^{sh(x)}}^{sh(x)}ln(sh(x))ln({sh(x)}^{sh(x)})sh(x)ch^{2}(x) + 2{{sh(x)}^{sh(x)}}^{sh(x)}ln({sh(x)}^{sh(x)})sh(x)ch^{2}(x) + 2{{sh(x)}^{sh(x)}}^{sh(x)}ln(sh(x))ch^{2}(x) + 3{{sh(x)}^{sh(x)}}^{sh(x)}ch^{2}(x) + {{sh(x)}^{sh(x)}}^{sh(x)}ln({sh(x)}^{sh(x)})ln(sh(x))sh(x)ch^{2}(x) + {{sh(x)}^{sh(x)}}^{sh(x)}ln^{2}(sh(x))sh^{2}(x)ch^{2}(x) + 2{{sh(x)}^{sh(x)}}^{sh(x)}ln(sh(x))sh^{2}(x)ch^{2}(x) + {{sh(x)}^{sh(x)}}^{sh(x)}ln({sh(x)}^{sh(x)})sh(x) + {{sh(x)}^{sh(x)}}^{sh(x)}ln(sh(x))sh^{2}(x) + {{sh(x)}^{sh(x)}}^{sh(x)}sh^{2}(x)ch^{2}(x) + {{sh(x)}^{sh(x)}}^{sh(x)}sh^{2}(x)\right)}{dx}\\=&({{sh(x)}^{sh(x)}}^{sh(x)}((ch(x))ln({sh(x)}^{sh(x)}) + \frac{(sh(x))(({sh(x)}^{sh(x)}((ch(x))ln(sh(x)) + \frac{(sh(x))(ch(x))}{(sh(x))})))}{({sh(x)}^{sh(x)})}))ln^{2}({sh(x)}^{sh(x)})ch^{2}(x) + \frac{{{sh(x)}^{sh(x)}}^{sh(x)}*2ln({sh(x)}^{sh(x)})({sh(x)}^{sh(x)}((ch(x))ln(sh(x)) + \frac{(sh(x))(ch(x))}{(sh(x))}))ch^{2}(x)}{({sh(x)}^{sh(x)})} + {{sh(x)}^{sh(x)}}^{sh(x)}ln^{2}({sh(x)}^{sh(x)})*2ch(x)sh(x) + ({{sh(x)}^{sh(x)}}^{sh(x)}((ch(x))ln({sh(x)}^{sh(x)}) + \frac{(sh(x))(({sh(x)}^{sh(x)}((ch(x))ln(sh(x)) + \frac{(sh(x))(ch(x))}{(sh(x))})))}{({sh(x)}^{sh(x)})}))ln(sh(x))ln({sh(x)}^{sh(x)})sh(x)ch^{2}(x) + \frac{{{sh(x)}^{sh(x)}}^{sh(x)}ch(x)ln({sh(x)}^{sh(x)})sh(x)ch^{2}(x)}{(sh(x))} + \frac{{{sh(x)}^{sh(x)}}^{sh(x)}ln(sh(x))({sh(x)}^{sh(x)}((ch(x))ln(sh(x)) + \frac{(sh(x))(ch(x))}{(sh(x))}))sh(x)ch^{2}(x)}{({sh(x)}^{sh(x)})} + {{sh(x)}^{sh(x)}}^{sh(x)}ln(sh(x))ln({sh(x)}^{sh(x)})ch(x)ch^{2}(x) + {{sh(x)}^{sh(x)}}^{sh(x)}ln(sh(x))ln({sh(x)}^{sh(x)})sh(x)*2ch(x)sh(x) + 2({{sh(x)}^{sh(x)}}^{sh(x)}((ch(x))ln({sh(x)}^{sh(x)}) + \frac{(sh(x))(({sh(x)}^{sh(x)}((ch(x))ln(sh(x)) + \frac{(sh(x))(ch(x))}{(sh(x))})))}{({sh(x)}^{sh(x)})}))ln({sh(x)}^{sh(x)})sh(x)ch^{2}(x) + \frac{2{{sh(x)}^{sh(x)}}^{sh(x)}({sh(x)}^{sh(x)}((ch(x))ln(sh(x)) + \frac{(sh(x))(ch(x))}{(sh(x))}))sh(x)ch^{2}(x)}{({sh(x)}^{sh(x)})} + 2{{sh(x)}^{sh(x)}}^{sh(x)}ln({sh(x)}^{sh(x)})ch(x)ch^{2}(x) + 2{{sh(x)}^{sh(x)}}^{sh(x)}ln({sh(x)}^{sh(x)})sh(x)*2ch(x)sh(x) + 2({{sh(x)}^{sh(x)}}^{sh(x)}((ch(x))ln({sh(x)}^{sh(x)}) + \frac{(sh(x))(({sh(x)}^{sh(x)}((ch(x))ln(sh(x)) + \frac{(sh(x))(ch(x))}{(sh(x))})))}{({sh(x)}^{sh(x)})}))ln(sh(x))ch^{2}(x) + \frac{2{{sh(x)}^{sh(x)}}^{sh(x)}ch(x)ch^{2}(x)}{(sh(x))} + 2{{sh(x)}^{sh(x)}}^{sh(x)}ln(sh(x))*2ch(x)sh(x) + 3({{sh(x)}^{sh(x)}}^{sh(x)}((ch(x))ln({sh(x)}^{sh(x)}) + \frac{(sh(x))(({sh(x)}^{sh(x)}((ch(x))ln(sh(x)) + \frac{(sh(x))(ch(x))}{(sh(x))})))}{({sh(x)}^{sh(x)})}))ch^{2}(x) + 3{{sh(x)}^{sh(x)}}^{sh(x)}*2ch(x)sh(x) + ({{sh(x)}^{sh(x)}}^{sh(x)}((ch(x))ln({sh(x)}^{sh(x)}) + \frac{(sh(x))(({sh(x)}^{sh(x)}((ch(x))ln(sh(x)) + \frac{(sh(x))(ch(x))}{(sh(x))})))}{({sh(x)}^{sh(x)})}))ln({sh(x)}^{sh(x)})ln(sh(x))sh(x)ch^{2}(x) + \frac{{{sh(x)}^{sh(x)}}^{sh(x)}({sh(x)}^{sh(x)}((ch(x))ln(sh(x)) + \frac{(sh(x))(ch(x))}{(sh(x))}))ln(sh(x))sh(x)ch^{2}(x)}{({sh(x)}^{sh(x)})} + \frac{{{sh(x)}^{sh(x)}}^{sh(x)}ln({sh(x)}^{sh(x)})ch(x)sh(x)ch^{2}(x)}{(sh(x))} + {{sh(x)}^{sh(x)}}^{sh(x)}ln({sh(x)}^{sh(x)})ln(sh(x))ch(x)ch^{2}(x) + {{sh(x)}^{sh(x)}}^{sh(x)}ln({sh(x)}^{sh(x)})ln(sh(x))sh(x)*2ch(x)sh(x) + ({{sh(x)}^{sh(x)}}^{sh(x)}((ch(x))ln({sh(x)}^{sh(x)}) + \frac{(sh(x))(({sh(x)}^{sh(x)}((ch(x))ln(sh(x)) + \frac{(sh(x))(ch(x))}{(sh(x))})))}{({sh(x)}^{sh(x)})}))ln^{2}(sh(x))sh^{2}(x)ch^{2}(x) + \frac{{{sh(x)}^{sh(x)}}^{sh(x)}*2ln(sh(x))ch(x)sh^{2}(x)ch^{2}(x)}{(sh(x))} + {{sh(x)}^{sh(x)}}^{sh(x)}ln^{2}(sh(x))*2sh(x)ch(x)ch^{2}(x) + {{sh(x)}^{sh(x)}}^{sh(x)}ln^{2}(sh(x))sh^{2}(x)*2ch(x)sh(x) + 2({{sh(x)}^{sh(x)}}^{sh(x)}((ch(x))ln({sh(x)}^{sh(x)}) + \frac{(sh(x))(({sh(x)}^{sh(x)}((ch(x))ln(sh(x)) + \frac{(sh(x))(ch(x))}{(sh(x))})))}{({sh(x)}^{sh(x)})}))ln(sh(x))sh^{2}(x)ch^{2}(x) + \frac{2{{sh(x)}^{sh(x)}}^{sh(x)}ch(x)sh^{2}(x)ch^{2}(x)}{(sh(x))} + 2{{sh(x)}^{sh(x)}}^{sh(x)}ln(sh(x))*2sh(x)ch(x)ch^{2}(x) + 2{{sh(x)}^{sh(x)}}^{sh(x)}ln(sh(x))sh^{2}(x)*2ch(x)sh(x) + ({{sh(x)}^{sh(x)}}^{sh(x)}((ch(x))ln({sh(x)}^{sh(x)}) + \frac{(sh(x))(({sh(x)}^{sh(x)}((ch(x))ln(sh(x)) + \frac{(sh(x))(ch(x))}{(sh(x))})))}{({sh(x)}^{sh(x)})}))ln({sh(x)}^{sh(x)})sh(x) + \frac{{{sh(x)}^{sh(x)}}^{sh(x)}({sh(x)}^{sh(x)}((ch(x))ln(sh(x)) + \frac{(sh(x))(ch(x))}{(sh(x))}))sh(x)}{({sh(x)}^{sh(x)})} + {{sh(x)}^{sh(x)}}^{sh(x)}ln({sh(x)}^{sh(x)})ch(x) + ({{sh(x)}^{sh(x)}}^{sh(x)}((ch(x))ln({sh(x)}^{sh(x)}) + \frac{(sh(x))(({sh(x)}^{sh(x)}((ch(x))ln(sh(x)) + \frac{(sh(x))(ch(x))}{(sh(x))})))}{({sh(x)}^{sh(x)})}))ln(sh(x))sh^{2}(x) + \frac{{{sh(x)}^{sh(x)}}^{sh(x)}ch(x)sh^{2}(x)}{(sh(x))} + {{sh(x)}^{sh(x)}}^{sh(x)}ln(sh(x))*2sh(x)ch(x) + ({{sh(x)}^{sh(x)}}^{sh(x)}((ch(x))ln({sh(x)}^{sh(x)}) + \frac{(sh(x))(({sh(x)}^{sh(x)}((ch(x))ln(sh(x)) + \frac{(sh(x))(ch(x))}{(sh(x))})))}{({sh(x)}^{sh(x)})}))sh^{2}(x)ch^{2}(x) + {{sh(x)}^{sh(x)}}^{sh(x)}*2sh(x)ch(x)ch^{2}(x) + {{sh(x)}^{sh(x)}}^{sh(x)}sh^{2}(x)*2ch(x)sh(x) + ({{sh(x)}^{sh(x)}}^{sh(x)}((ch(x))ln({sh(x)}^{sh(x)}) + \frac{(sh(x))(({sh(x)}^{sh(x)}((ch(x))ln(sh(x)) + \frac{(sh(x))(ch(x))}{(sh(x))})))}{({sh(x)}^{sh(x)})}))sh^{2}(x) + {{sh(x)}^{sh(x)}}^{sh(x)}*2sh(x)ch(x)\\=&{{sh(x)}^{sh(x)}}^{sh(x)}ln^{3}({sh(x)}^{sh(x)})ch^{3}(x) + {{sh(x)}^{sh(x)}}^{sh(x)}ln(sh(x))ln^{2}({sh(x)}^{sh(x)})sh(x)ch^{3}(x) + 3{{sh(x)}^{sh(x)}}^{sh(x)}ln^{2}({sh(x)}^{sh(x)})sh(x)ch^{3}(x) + 3{{sh(x)}^{sh(x)}}^{sh(x)}ln(sh(x))ln({sh(x)}^{sh(x)})ch^{3}(x) + 9{{sh(x)}^{sh(x)}}^{sh(x)}ln({sh(x)}^{sh(x)})ch^{3}(x) + 6{{sh(x)}^{sh(x)}}^{sh(x)}ln^{2}(sh(x))sh(x)ch^{3}(x) + 2{{sh(x)}^{sh(x)}}^{sh(x)}ln^{2}({sh(x)}^{sh(x)})ln(sh(x))sh(x)ch^{3}(x) + 2{{sh(x)}^{sh(x)}}^{sh(x)}ln^{2}(sh(x))ln({sh(x)}^{sh(x)})sh^{2}(x)ch^{3}(x) + 3{{sh(x)}^{sh(x)}}^{sh(x)}ln(sh(x))ln({sh(x)}^{sh(x)})sh^{2}(x)ch^{3}(x) + 15{{sh(x)}^{sh(x)}}^{sh(x)}ln(sh(x))sh(x)ch^{3}(x) + 3{{sh(x)}^{sh(x)}}^{sh(x)}ln(sh(x))ln({sh(x)}^{sh(x)})sh^{2}(x)ch(x) + 3{{sh(x)}^{sh(x)}}^{sh(x)}ln({sh(x)}^{sh(x)})sh^{2}(x)ch^{3}(x) + 9{{sh(x)}^{sh(x)}}^{sh(x)}sh(x)ch^{3}(x) + 6{{sh(x)}^{sh(x)}}^{sh(x)}ln({sh(x)}^{sh(x)})sh^{2}(x)ch(x) + 3{{sh(x)}^{sh(x)}}^{sh(x)}ln({sh(x)}^{sh(x)})ln(sh(x))ch^{3}(x) + \frac{2{{sh(x)}^{sh(x)}}^{sh(x)}ch^{3}(x)}{sh(x)} + 3{{sh(x)}^{sh(x)}}^{sh(x)}ln({sh(x)}^{sh(x)})ln(sh(x))sh^{2}(x)ch^{3}(x) + 3{{sh(x)}^{sh(x)}}^{sh(x)}ln({sh(x)}^{sh(x)})ln(sh(x))sh^{2}(x)ch(x) + {{sh(x)}^{sh(x)}}^{sh(x)}ln({sh(x)}^{sh(x)})ln^{2}(sh(x))sh^{2}(x)ch^{3}(x) + {{sh(x)}^{sh(x)}}^{sh(x)}ln^{3}(sh(x))sh^{3}(x)ch^{3}(x) + 3{{sh(x)}^{sh(x)}}^{sh(x)}ln^{2}(sh(x))sh^{3}(x)ch^{3}(x) + 3{{sh(x)}^{sh(x)}}^{sh(x)}ln^{2}({sh(x)}^{sh(x)})sh(x)ch(x) + 3{{sh(x)}^{sh(x)}}^{sh(x)}ln^{2}(sh(x))sh^{3}(x)ch(x) + 3{{sh(x)}^{sh(x)}}^{sh(x)}ln(sh(x))sh^{3}(x)ch^{3}(x) + 7{{sh(x)}^{sh(x)}}^{sh(x)}ln(sh(x))sh(x)ch(x) + 6{{sh(x)}^{sh(x)}}^{sh(x)}ln(sh(x))sh^{3}(x)ch(x) + 10{{sh(x)}^{sh(x)}}^{sh(x)}sh(x)ch(x) + {{sh(x)}^{sh(x)}}^{sh(x)}ln({sh(x)}^{sh(x)})ch(x) + {{sh(x)}^{sh(x)}}^{sh(x)}sh^{3}(x)ch^{3}(x) + 3{{sh(x)}^{sh(x)}}^{sh(x)}sh^{3}(x)ch(x)\\\\ &\color{blue}{函数的第 4 阶导数:} \\&\frac{d\left( {{sh(x)}^{sh(x)}}^{sh(x)}ln^{3}({sh(x)}^{sh(x)})ch^{3}(x) + {{sh(x)}^{sh(x)}}^{sh(x)}ln(sh(x))ln^{2}({sh(x)}^{sh(x)})sh(x)ch^{3}(x) + 3{{sh(x)}^{sh(x)}}^{sh(x)}ln^{2}({sh(x)}^{sh(x)})sh(x)ch^{3}(x) + 3{{sh(x)}^{sh(x)}}^{sh(x)}ln(sh(x))ln({sh(x)}^{sh(x)})ch^{3}(x) + 9{{sh(x)}^{sh(x)}}^{sh(x)}ln({sh(x)}^{sh(x)})ch^{3}(x) + 6{{sh(x)}^{sh(x)}}^{sh(x)}ln^{2}(sh(x))sh(x)ch^{3}(x) + 2{{sh(x)}^{sh(x)}}^{sh(x)}ln^{2}({sh(x)}^{sh(x)})ln(sh(x))sh(x)ch^{3}(x) + 2{{sh(x)}^{sh(x)}}^{sh(x)}ln^{2}(sh(x))ln({sh(x)}^{sh(x)})sh^{2}(x)ch^{3}(x) + 3{{sh(x)}^{sh(x)}}^{sh(x)}ln(sh(x))ln({sh(x)}^{sh(x)})sh^{2}(x)ch^{3}(x) + 15{{sh(x)}^{sh(x)}}^{sh(x)}ln(sh(x))sh(x)ch^{3}(x) + 3{{sh(x)}^{sh(x)}}^{sh(x)}ln(sh(x))ln({sh(x)}^{sh(x)})sh^{2}(x)ch(x) + 3{{sh(x)}^{sh(x)}}^{sh(x)}ln({sh(x)}^{sh(x)})sh^{2}(x)ch^{3}(x) + 9{{sh(x)}^{sh(x)}}^{sh(x)}sh(x)ch^{3}(x) + 6{{sh(x)}^{sh(x)}}^{sh(x)}ln({sh(x)}^{sh(x)})sh^{2}(x)ch(x) + 3{{sh(x)}^{sh(x)}}^{sh(x)}ln({sh(x)}^{sh(x)})ln(sh(x))ch^{3}(x) + \frac{2{{sh(x)}^{sh(x)}}^{sh(x)}ch^{3}(x)}{sh(x)} + 3{{sh(x)}^{sh(x)}}^{sh(x)}ln({sh(x)}^{sh(x)})ln(sh(x))sh^{2}(x)ch^{3}(x) + 3{{sh(x)}^{sh(x)}}^{sh(x)}ln({sh(x)}^{sh(x)})ln(sh(x))sh^{2}(x)ch(x) + {{sh(x)}^{sh(x)}}^{sh(x)}ln({sh(x)}^{sh(x)})ln^{2}(sh(x))sh^{2}(x)ch^{3}(x) + {{sh(x)}^{sh(x)}}^{sh(x)}ln^{3}(sh(x))sh^{3}(x)ch^{3}(x) + 3{{sh(x)}^{sh(x)}}^{sh(x)}ln^{2}(sh(x))sh^{3}(x)ch^{3}(x) + 3{{sh(x)}^{sh(x)}}^{sh(x)}ln^{2}({sh(x)}^{sh(x)})sh(x)ch(x) + 3{{sh(x)}^{sh(x)}}^{sh(x)}ln^{2}(sh(x))sh^{3}(x)ch(x) + 3{{sh(x)}^{sh(x)}}^{sh(x)}ln(sh(x))sh^{3}(x)ch^{3}(x) + 7{{sh(x)}^{sh(x)}}^{sh(x)}ln(sh(x))sh(x)ch(x) + 6{{sh(x)}^{sh(x)}}^{sh(x)}ln(sh(x))sh^{3}(x)ch(x) + 10{{sh(x)}^{sh(x)}}^{sh(x)}sh(x)ch(x) + {{sh(x)}^{sh(x)}}^{sh(x)}ln({sh(x)}^{sh(x)})ch(x) + {{sh(x)}^{sh(x)}}^{sh(x)}sh^{3}(x)ch^{3}(x) + 3{{sh(x)}^{sh(x)}}^{sh(x)}sh^{3}(x)ch(x)\right)}{dx}\\=&({{sh(x)}^{sh(x)}}^{sh(x)}((ch(x))ln({sh(x)}^{sh(x)}) + \frac{(sh(x))(({sh(x)}^{sh(x)}((ch(x))ln(sh(x)) + \frac{(sh(x))(ch(x))}{(sh(x))})))}{({sh(x)}^{sh(x)})}))ln^{3}({sh(x)}^{sh(x)})ch^{3}(x) + \frac{{{sh(x)}^{sh(x)}}^{sh(x)}*3ln^{2}({sh(x)}^{sh(x)})({sh(x)}^{sh(x)}((ch(x))ln(sh(x)) + \frac{(sh(x))(ch(x))}{(sh(x))}))ch^{3}(x)}{({sh(x)}^{sh(x)})} + {{sh(x)}^{sh(x)}}^{sh(x)}ln^{3}({sh(x)}^{sh(x)})*3ch^{2}(x)sh(x) + ({{sh(x)}^{sh(x)}}^{sh(x)}((ch(x))ln({sh(x)}^{sh(x)}) + \frac{(sh(x))(({sh(x)}^{sh(x)}((ch(x))ln(sh(x)) + \frac{(sh(x))(ch(x))}{(sh(x))})))}{({sh(x)}^{sh(x)})}))ln(sh(x))ln^{2}({sh(x)}^{sh(x)})sh(x)ch^{3}(x) + \frac{{{sh(x)}^{sh(x)}}^{sh(x)}ch(x)ln^{2}({sh(x)}^{sh(x)})sh(x)ch^{3}(x)}{(sh(x))} + \frac{{{sh(x)}^{sh(x)}}^{sh(x)}ln(sh(x))*2ln({sh(x)}^{sh(x)})({sh(x)}^{sh(x)}((ch(x))ln(sh(x)) + \frac{(sh(x))(ch(x))}{(sh(x))}))sh(x)ch^{3}(x)}{({sh(x)}^{sh(x)})} + {{sh(x)}^{sh(x)}}^{sh(x)}ln(sh(x))ln^{2}({sh(x)}^{sh(x)})ch(x)ch^{3}(x) + {{sh(x)}^{sh(x)}}^{sh(x)}ln(sh(x))ln^{2}({sh(x)}^{sh(x)})sh(x)*3ch^{2}(x)sh(x) + 3({{sh(x)}^{sh(x)}}^{sh(x)}((ch(x))ln({sh(x)}^{sh(x)}) + \frac{(sh(x))(({sh(x)}^{sh(x)}((ch(x))ln(sh(x)) + \frac{(sh(x))(ch(x))}{(sh(x))})))}{({sh(x)}^{sh(x)})}))ln^{2}({sh(x)}^{sh(x)})sh(x)ch^{3}(x) + \frac{3{{sh(x)}^{sh(x)}}^{sh(x)}*2ln({sh(x)}^{sh(x)})({sh(x)}^{sh(x)}((ch(x))ln(sh(x)) + \frac{(sh(x))(ch(x))}{(sh(x))}))sh(x)ch^{3}(x)}{({sh(x)}^{sh(x)})} + 3{{sh(x)}^{sh(x)}}^{sh(x)}ln^{2}({sh(x)}^{sh(x)})ch(x)ch^{3}(x) + 3{{sh(x)}^{sh(x)}}^{sh(x)}ln^{2}({sh(x)}^{sh(x)})sh(x)*3ch^{2}(x)sh(x) + 3({{sh(x)}^{sh(x)}}^{sh(x)}((ch(x))ln({sh(x)}^{sh(x)}) + \frac{(sh(x))(({sh(x)}^{sh(x)}((ch(x))ln(sh(x)) + \frac{(sh(x))(ch(x))}{(sh(x))})))}{({sh(x)}^{sh(x)})}))ln(sh(x))ln({sh(x)}^{sh(x)})ch^{3}(x) + \frac{3{{sh(x)}^{sh(x)}}^{sh(x)}ch(x)ln({sh(x)}^{sh(x)})ch^{3}(x)}{(sh(x))} + \frac{3{{sh(x)}^{sh(x)}}^{sh(x)}ln(sh(x))({sh(x)}^{sh(x)}((ch(x))ln(sh(x)) + \frac{(sh(x))(ch(x))}{(sh(x))}))ch^{3}(x)}{({sh(x)}^{sh(x)})} + 3{{sh(x)}^{sh(x)}}^{sh(x)}ln(sh(x))ln({sh(x)}^{sh(x)})*3ch^{2}(x)sh(x) + 9({{sh(x)}^{sh(x)}}^{sh(x)}((ch(x))ln({sh(x)}^{sh(x)}) + \frac{(sh(x))(({sh(x)}^{sh(x)}((ch(x))ln(sh(x)) + \frac{(sh(x))(ch(x))}{(sh(x))})))}{({sh(x)}^{sh(x)})}))ln({sh(x)}^{sh(x)})ch^{3}(x) + \frac{9{{sh(x)}^{sh(x)}}^{sh(x)}({sh(x)}^{sh(x)}((ch(x))ln(sh(x)) + \frac{(sh(x))(ch(x))}{(sh(x))}))ch^{3}(x)}{({sh(x)}^{sh(x)})} + 9{{sh(x)}^{sh(x)}}^{sh(x)}ln({sh(x)}^{sh(x)})*3ch^{2}(x)sh(x) + 6({{sh(x)}^{sh(x)}}^{sh(x)}((ch(x))ln({sh(x)}^{sh(x)}) + \frac{(sh(x))(({sh(x)}^{sh(x)}((ch(x))ln(sh(x)) + \frac{(sh(x))(ch(x))}{(sh(x))})))}{({sh(x)}^{sh(x)})}))ln^{2}(sh(x))sh(x)ch^{3}(x) + \frac{6{{sh(x)}^{sh(x)}}^{sh(x)}*2ln(sh(x))ch(x)sh(x)ch^{3}(x)}{(sh(x))} + 6{{sh(x)}^{sh(x)}}^{sh(x)}ln^{2}(sh(x))ch(x)ch^{3}(x) + 6{{sh(x)}^{sh(x)}}^{sh(x)}ln^{2}(sh(x))sh(x)*3ch^{2}(x)sh(x) + 2({{sh(x)}^{sh(x)}}^{sh(x)}((ch(x))ln({sh(x)}^{sh(x)}) + \frac{(sh(x))(({sh(x)}^{sh(x)}((ch(x))ln(sh(x)) + \frac{(sh(x))(ch(x))}{(sh(x))})))}{({sh(x)}^{sh(x)})}))ln^{2}({sh(x)}^{sh(x)})ln(sh(x))sh(x)ch^{3}(x) + \frac{2{{sh(x)}^{sh(x)}}^{sh(x)}*2ln({sh(x)}^{sh(x)})({sh(x)}^{sh(x)}((ch(x))ln(sh(x)) + \frac{(sh(x))(ch(x))}{(sh(x))}))ln(sh(x))sh(x)ch^{3}(x)}{({sh(x)}^{sh(x)})} + \frac{2{{sh(x)}^{sh(x)}}^{sh(x)}ln^{2}({sh(x)}^{sh(x)})ch(x)sh(x)ch^{3}(x)}{(sh(x))} + 2{{sh(x)}^{sh(x)}}^{sh(x)}ln^{2}({sh(x)}^{sh(x)})ln(sh(x))ch(x)ch^{3}(x) + 2{{sh(x)}^{sh(x)}}^{sh(x)}ln^{2}({sh(x)}^{sh(x)})ln(sh(x))sh(x)*3ch^{2}(x)sh(x) + 2({{sh(x)}^{sh(x)}}^{sh(x)}((ch(x))ln({sh(x)}^{sh(x)}) + \frac{(sh(x))(({sh(x)}^{sh(x)}((ch(x))ln(sh(x)) + \frac{(sh(x))(ch(x))}{(sh(x))})))}{({sh(x)}^{sh(x)})}))ln^{2}(sh(x))ln({sh(x)}^{sh(x)})sh^{2}(x)ch^{3}(x) + \frac{2{{sh(x)}^{sh(x)}}^{sh(x)}*2ln(sh(x))ch(x)ln({sh(x)}^{sh(x)})sh^{2}(x)ch^{3}(x)}{(sh(x))} + \frac{2{{sh(x)}^{sh(x)}}^{sh(x)}ln^{2}(sh(x))({sh(x)}^{sh(x)}((ch(x))ln(sh(x)) + \frac{(sh(x))(ch(x))}{(sh(x))}))sh^{2}(x)ch^{3}(x)}{({sh(x)}^{sh(x)})} + 2{{sh(x)}^{sh(x)}}^{sh(x)}ln^{2}(sh(x))ln({sh(x)}^{sh(x)})*2sh(x)ch(x)ch^{3}(x) + 2{{sh(x)}^{sh(x)}}^{sh(x)}ln^{2}(sh(x))ln({sh(x)}^{sh(x)})sh^{2}(x)*3ch^{2}(x)sh(x) + 3({{sh(x)}^{sh(x)}}^{sh(x)}((ch(x))ln({sh(x)}^{sh(x)}) + \frac{(sh(x))(({sh(x)}^{sh(x)}((ch(x))ln(sh(x)) + \frac{(sh(x))(ch(x))}{(sh(x))})))}{({sh(x)}^{sh(x)})}))ln(sh(x))ln({sh(x)}^{sh(x)})sh^{2}(x)ch^{3}(x) + \frac{3{{sh(x)}^{sh(x)}}^{sh(x)}ch(x)ln({sh(x)}^{sh(x)})sh^{2}(x)ch^{3}(x)}{(sh(x))} + \frac{3{{sh(x)}^{sh(x)}}^{sh(x)}ln(sh(x))({sh(x)}^{sh(x)}((ch(x))ln(sh(x)) + \frac{(sh(x))(ch(x))}{(sh(x))}))sh^{2}(x)ch^{3}(x)}{({sh(x)}^{sh(x)})} + 3{{sh(x)}^{sh(x)}}^{sh(x)}ln(sh(x))ln({sh(x)}^{sh(x)})*2sh(x)ch(x)ch^{3}(x) + 3{{sh(x)}^{sh(x)}}^{sh(x)}ln(sh(x))ln({sh(x)}^{sh(x)})sh^{2}(x)*3ch^{2}(x)sh(x) + 15({{sh(x)}^{sh(x)}}^{sh(x)}((ch(x))ln({sh(x)}^{sh(x)}) + \frac{(sh(x))(({sh(x)}^{sh(x)}((ch(x))ln(sh(x)) + \frac{(sh(x))(ch(x))}{(sh(x))})))}{({sh(x)}^{sh(x)})}))ln(sh(x))sh(x)ch^{3}(x) + \frac{15{{sh(x)}^{sh(x)}}^{sh(x)}ch(x)sh(x)ch^{3}(x)}{(sh(x))} + 15{{sh(x)}^{sh(x)}}^{sh(x)}ln(sh(x))ch(x)ch^{3}(x) + 15{{sh(x)}^{sh(x)}}^{sh(x)}ln(sh(x))sh(x)*3ch^{2}(x)sh(x) + 3({{sh(x)}^{sh(x)}}^{sh(x)}((ch(x))ln({sh(x)}^{sh(x)}) + \frac{(sh(x))(({sh(x)}^{sh(x)}((ch(x))ln(sh(x)) + \frac{(sh(x))(ch(x))}{(sh(x))})))}{({sh(x)}^{sh(x)})}))ln(sh(x))ln({sh(x)}^{sh(x)})sh^{2}(x)ch(x) + \frac{3{{sh(x)}^{sh(x)}}^{sh(x)}ch(x)ln({sh(x)}^{sh(x)})sh^{2}(x)ch(x)}{(sh(x))} + \frac{3{{sh(x)}^{sh(x)}}^{sh(x)}ln(sh(x))({sh(x)}^{sh(x)}((ch(x))ln(sh(x)) + \frac{(sh(x))(ch(x))}{(sh(x))}))sh^{2}(x)ch(x)}{({sh(x)}^{sh(x)})} + 3{{sh(x)}^{sh(x)}}^{sh(x)}ln(sh(x))ln({sh(x)}^{sh(x)})*2sh(x)ch(x)ch(x) + 3{{sh(x)}^{sh(x)}}^{sh(x)}ln(sh(x))ln({sh(x)}^{sh(x)})sh^{2}(x)sh(x) + 3({{sh(x)}^{sh(x)}}^{sh(x)}((ch(x))ln({sh(x)}^{sh(x)}) + \frac{(sh(x))(({sh(x)}^{sh(x)}((ch(x))ln(sh(x)) + \frac{(sh(x))(ch(x))}{(sh(x))})))}{({sh(x)}^{sh(x)})}))ln({sh(x)}^{sh(x)})sh^{2}(x)ch^{3}(x) + \frac{3{{sh(x)}^{sh(x)}}^{sh(x)}({sh(x)}^{sh(x)}((ch(x))ln(sh(x)) + \frac{(sh(x))(ch(x))}{(sh(x))}))sh^{2}(x)ch^{3}(x)}{({sh(x)}^{sh(x)})} + 3{{sh(x)}^{sh(x)}}^{sh(x)}ln({sh(x)}^{sh(x)})*2sh(x)ch(x)ch^{3}(x) + 3{{sh(x)}^{sh(x)}}^{sh(x)}ln({sh(x)}^{sh(x)})sh^{2}(x)*3ch^{2}(x)sh(x) + 9({{sh(x)}^{sh(x)}}^{sh(x)}((ch(x))ln({sh(x)}^{sh(x)}) + \frac{(sh(x))(({sh(x)}^{sh(x)}((ch(x))ln(sh(x)) + \frac{(sh(x))(ch(x))}{(sh(x))})))}{({sh(x)}^{sh(x)})}))sh(x)ch^{3}(x) + 9{{sh(x)}^{sh(x)}}^{sh(x)}ch(x)ch^{3}(x) + 9{{sh(x)}^{sh(x)}}^{sh(x)}sh(x)*3ch^{2}(x)sh(x) + 6({{sh(x)}^{sh(x)}}^{sh(x)}((ch(x))ln({sh(x)}^{sh(x)}) + \frac{(sh(x))(({sh(x)}^{sh(x)}((ch(x))ln(sh(x)) + \frac{(sh(x))(ch(x))}{(sh(x))})))}{({sh(x)}^{sh(x)})}))ln({sh(x)}^{sh(x)})sh^{2}(x)ch(x) + \frac{6{{sh(x)}^{sh(x)}}^{sh(x)}({sh(x)}^{sh(x)}((ch(x))ln(sh(x)) + \frac{(sh(x))(ch(x))}{(sh(x))}))sh^{2}(x)ch(x)}{({sh(x)}^{sh(x)})} + 6{{sh(x)}^{sh(x)}}^{sh(x)}ln({sh(x)}^{sh(x)})*2sh(x)ch(x)ch(x) + 6{{sh(x)}^{sh(x)}}^{sh(x)}ln({sh(x)}^{sh(x)})sh^{2}(x)sh(x) + 3({{sh(x)}^{sh(x)}}^{sh(x)}((ch(x))ln({sh(x)}^{sh(x)}) + \frac{(sh(x))(({sh(x)}^{sh(x)}((ch(x))ln(sh(x)) + \frac{(sh(x))(ch(x))}{(sh(x))})))}{({sh(x)}^{sh(x)})}))ln({sh(x)}^{sh(x)})ln(sh(x))ch^{3}(x) + \frac{3{{sh(x)}^{sh(x)}}^{sh(x)}({sh(x)}^{sh(x)}((ch(x))ln(sh(x)) + \frac{(sh(x))(ch(x))}{(sh(x))}))ln(sh(x))ch^{3}(x)}{({sh(x)}^{sh(x)})} + \frac{3{{sh(x)}^{sh(x)}}^{sh(x)}ln({sh(x)}^{sh(x)})ch(x)ch^{3}(x)}{(sh(x))} + 3{{sh(x)}^{sh(x)}}^{sh(x)}ln({sh(x)}^{sh(x)})ln(sh(x))*3ch^{2}(x)sh(x) + \frac{2({{sh(x)}^{sh(x)}}^{sh(x)}((ch(x))ln({sh(x)}^{sh(x)}) + \frac{(sh(x))(({sh(x)}^{sh(x)}((ch(x))ln(sh(x)) + \frac{(sh(x))(ch(x))}{(sh(x))})))}{({sh(x)}^{sh(x)})}))ch^{3}(x)}{sh(x)} + \frac{2{{sh(x)}^{sh(x)}}^{sh(x)}*-ch(x)ch^{3}(x)}{sh^{2}(x)} + \frac{2{{sh(x)}^{sh(x)}}^{sh(x)}*3ch^{2}(x)sh(x)}{sh(x)} + 3({{sh(x)}^{sh(x)}}^{sh(x)}((ch(x))ln({sh(x)}^{sh(x)}) + \frac{(sh(x))(({sh(x)}^{sh(x)}((ch(x))ln(sh(x)) + \frac{(sh(x))(ch(x))}{(sh(x))})))}{({sh(x)}^{sh(x)})}))ln({sh(x)}^{sh(x)})ln(sh(x))sh^{2}(x)ch^{3}(x) + \frac{3{{sh(x)}^{sh(x)}}^{sh(x)}({sh(x)}^{sh(x)}((ch(x))ln(sh(x)) + \frac{(sh(x))(ch(x))}{(sh(x))}))ln(sh(x))sh^{2}(x)ch^{3}(x)}{({sh(x)}^{sh(x)})} + \frac{3{{sh(x)}^{sh(x)}}^{sh(x)}ln({sh(x)}^{sh(x)})ch(x)sh^{2}(x)ch^{3}(x)}{(sh(x))} + 3{{sh(x)}^{sh(x)}}^{sh(x)}ln({sh(x)}^{sh(x)})ln(sh(x))*2sh(x)ch(x)ch^{3}(x) + 3{{sh(x)}^{sh(x)}}^{sh(x)}ln({sh(x)}^{sh(x)})ln(sh(x))sh^{2}(x)*3ch^{2}(x)sh(x) + 3({{sh(x)}^{sh(x)}}^{sh(x)}((ch(x))ln({sh(x)}^{sh(x)}) + \frac{(sh(x))(({sh(x)}^{sh(x)}((ch(x))ln(sh(x)) + \frac{(sh(x))(ch(x))}{(sh(x))})))}{({sh(x)}^{sh(x)})}))ln({sh(x)}^{sh(x)})ln(sh(x))sh^{2}(x)ch(x) + \frac{3{{sh(x)}^{sh(x)}}^{sh(x)}({sh(x)}^{sh(x)}((ch(x))ln(sh(x)) + \frac{(sh(x))(ch(x))}{(sh(x))}))ln(sh(x))sh^{2}(x)ch(x)}{({sh(x)}^{sh(x)})} + \frac{3{{sh(x)}^{sh(x)}}^{sh(x)}ln({sh(x)}^{sh(x)})ch(x)sh^{2}(x)ch(x)}{(sh(x))} + 3{{sh(x)}^{sh(x)}}^{sh(x)}ln({sh(x)}^{sh(x)})ln(sh(x))*2sh(x)ch(x)ch(x) + 3{{sh(x)}^{sh(x)}}^{sh(x)}ln({sh(x)}^{sh(x)})ln(sh(x))sh^{2}(x)sh(x) + ({{sh(x)}^{sh(x)}}^{sh(x)}((ch(x))ln({sh(x)}^{sh(x)}) + \frac{(sh(x))(({sh(x)}^{sh(x)}((ch(x))ln(sh(x)) + \frac{(sh(x))(ch(x))}{(sh(x))})))}{({sh(x)}^{sh(x)})}))ln({sh(x)}^{sh(x)})ln^{2}(sh(x))sh^{2}(x)ch^{3}(x) + \frac{{{sh(x)}^{sh(x)}}^{sh(x)}({sh(x)}^{sh(x)}((ch(x))ln(sh(x)) + \frac{(sh(x))(ch(x))}{(sh(x))}))ln^{2}(sh(x))sh^{2}(x)ch^{3}(x)}{({sh(x)}^{sh(x)})} + \frac{{{sh(x)}^{sh(x)}}^{sh(x)}ln({sh(x)}^{sh(x)})*2ln(sh(x))ch(x)sh^{2}(x)ch^{3}(x)}{(sh(x))} + {{sh(x)}^{sh(x)}}^{sh(x)}ln({sh(x)}^{sh(x)})ln^{2}(sh(x))*2sh(x)ch(x)ch^{3}(x) + {{sh(x)}^{sh(x)}}^{sh(x)}ln({sh(x)}^{sh(x)})ln^{2}(sh(x))sh^{2}(x)*3ch^{2}(x)sh(x) + ({{sh(x)}^{sh(x)}}^{sh(x)}((ch(x))ln({sh(x)}^{sh(x)}) + \frac{(sh(x))(({sh(x)}^{sh(x)}((ch(x))ln(sh(x)) + \frac{(sh(x))(ch(x))}{(sh(x))})))}{({sh(x)}^{sh(x)})}))ln^{3}(sh(x))sh^{3}(x)ch^{3}(x) + \frac{{{sh(x)}^{sh(x)}}^{sh(x)}*3ln^{2}(sh(x))ch(x)sh^{3}(x)ch^{3}(x)}{(sh(x))} + {{sh(x)}^{sh(x)}}^{sh(x)}ln^{3}(sh(x))*3sh^{2}(x)ch(x)ch^{3}(x) + {{sh(x)}^{sh(x)}}^{sh(x)}ln^{3}(sh(x))sh^{3}(x)*3ch^{2}(x)sh(x) + 3({{sh(x)}^{sh(x)}}^{sh(x)}((ch(x))ln({sh(x)}^{sh(x)}) + \frac{(sh(x))(({sh(x)}^{sh(x)}((ch(x))ln(sh(x)) + \frac{(sh(x))(ch(x))}{(sh(x))})))}{({sh(x)}^{sh(x)})}))ln^{2}(sh(x))sh^{3}(x)ch^{3}(x) + \frac{3{{sh(x)}^{sh(x)}}^{sh(x)}*2ln(sh(x))ch(x)sh^{3}(x)ch^{3}(x)}{(sh(x))} + 3{{sh(x)}^{sh(x)}}^{sh(x)}ln^{2}(sh(x))*3sh^{2}(x)ch(x)ch^{3}(x) + 3{{sh(x)}^{sh(x)}}^{sh(x)}ln^{2}(sh(x))sh^{3}(x)*3ch^{2}(x)sh(x) + 3({{sh(x)}^{sh(x)}}^{sh(x)}((ch(x))ln({sh(x)}^{sh(x)}) + \frac{(sh(x))(({sh(x)}^{sh(x)}((ch(x))ln(sh(x)) + \frac{(sh(x))(ch(x))}{(sh(x))})))}{({sh(x)}^{sh(x)})}))ln^{2}({sh(x)}^{sh(x)})sh(x)ch(x) + \frac{3{{sh(x)}^{sh(x)}}^{sh(x)}*2ln({sh(x)}^{sh(x)})({sh(x)}^{sh(x)}((ch(x))ln(sh(x)) + \frac{(sh(x))(ch(x))}{(sh(x))}))sh(x)ch(x)}{({sh(x)}^{sh(x)})} + 3{{sh(x)}^{sh(x)}}^{sh(x)}ln^{2}({sh(x)}^{sh(x)})ch(x)ch(x) + 3{{sh(x)}^{sh(x)}}^{sh(x)}ln^{2}({sh(x)}^{sh(x)})sh(x)sh(x) + 3({{sh(x)}^{sh(x)}}^{sh(x)}((ch(x))ln({sh(x)}^{sh(x)}) + \frac{(sh(x))(({sh(x)}^{sh(x)}((ch(x))ln(sh(x)) + \frac{(sh(x))(ch(x))}{(sh(x))})))}{({sh(x)}^{sh(x)})}))ln^{2}(sh(x))sh^{3}(x)ch(x) + \frac{3{{sh(x)}^{sh(x)}}^{sh(x)}*2ln(sh(x))ch(x)sh^{3}(x)ch(x)}{(sh(x))} + 3{{sh(x)}^{sh(x)}}^{sh(x)}ln^{2}(sh(x))*3sh^{2}(x)ch(x)ch(x) + 3{{sh(x)}^{sh(x)}}^{sh(x)}ln^{2}(sh(x))sh^{3}(x)sh(x) + 3({{sh(x)}^{sh(x)}}^{sh(x)}((ch(x))ln({sh(x)}^{sh(x)}) + \frac{(sh(x))(({sh(x)}^{sh(x)}((ch(x))ln(sh(x)) + \frac{(sh(x))(ch(x))}{(sh(x))})))}{({sh(x)}^{sh(x)})}))ln(sh(x))sh^{3}(x)ch^{3}(x) + \frac{3{{sh(x)}^{sh(x)}}^{sh(x)}ch(x)sh^{3}(x)ch^{3}(x)}{(sh(x))} + 3{{sh(x)}^{sh(x)}}^{sh(x)}ln(sh(x))*3sh^{2}(x)ch(x)ch^{3}(x) + 3{{sh(x)}^{sh(x)}}^{sh(x)}ln(sh(x))sh^{3}(x)*3ch^{2}(x)sh(x) + 7({{sh(x)}^{sh(x)}}^{sh(x)}((ch(x))ln({sh(x)}^{sh(x)}) + \frac{(sh(x))(({sh(x)}^{sh(x)}((ch(x))ln(sh(x)) + \frac{(sh(x))(ch(x))}{(sh(x))})))}{({sh(x)}^{sh(x)})}))ln(sh(x))sh(x)ch(x) + \frac{7{{sh(x)}^{sh(x)}}^{sh(x)}ch(x)sh(x)ch(x)}{(sh(x))} + 7{{sh(x)}^{sh(x)}}^{sh(x)}ln(sh(x))ch(x)ch(x) + 7{{sh(x)}^{sh(x)}}^{sh(x)}ln(sh(x))sh(x)sh(x) + 6({{sh(x)}^{sh(x)}}^{sh(x)}((ch(x))ln({sh(x)}^{sh(x)}) + \frac{(sh(x))(({sh(x)}^{sh(x)}((ch(x))ln(sh(x)) + \frac{(sh(x))(ch(x))}{(sh(x))})))}{({sh(x)}^{sh(x)})}))ln(sh(x))sh^{3}(x)ch(x) + \frac{6{{sh(x)}^{sh(x)}}^{sh(x)}ch(x)sh^{3}(x)ch(x)}{(sh(x))} + 6{{sh(x)}^{sh(x)}}^{sh(x)}ln(sh(x))*3sh^{2}(x)ch(x)ch(x) + 6{{sh(x)}^{sh(x)}}^{sh(x)}ln(sh(x))sh^{3}(x)sh(x) + 10({{sh(x)}^{sh(x)}}^{sh(x)}((ch(x))ln({sh(x)}^{sh(x)}) + \frac{(sh(x))(({sh(x)}^{sh(x)}((ch(x))ln(sh(x)) + \frac{(sh(x))(ch(x))}{(sh(x))})))}{({sh(x)}^{sh(x)})}))sh(x)ch(x) + 10{{sh(x)}^{sh(x)}}^{sh(x)}ch(x)ch(x) + 10{{sh(x)}^{sh(x)}}^{sh(x)}sh(x)sh(x) + ({{sh(x)}^{sh(x)}}^{sh(x)}((ch(x))ln({sh(x)}^{sh(x)}) + \frac{(sh(x))(({sh(x)}^{sh(x)}((ch(x))ln(sh(x)) + \frac{(sh(x))(ch(x))}{(sh(x))})))}{({sh(x)}^{sh(x)})}))ln({sh(x)}^{sh(x)})ch(x) + \frac{{{sh(x)}^{sh(x)}}^{sh(x)}({sh(x)}^{sh(x)}((ch(x))ln(sh(x)) + \frac{(sh(x))(ch(x))}{(sh(x))}))ch(x)}{({sh(x)}^{sh(x)})} + {{sh(x)}^{sh(x)}}^{sh(x)}ln({sh(x)}^{sh(x)})sh(x) + ({{sh(x)}^{sh(x)}}^{sh(x)}((ch(x))ln({sh(x)}^{sh(x)}) + \frac{(sh(x))(({sh(x)}^{sh(x)}((ch(x))ln(sh(x)) + \frac{(sh(x))(ch(x))}{(sh(x))})))}{({sh(x)}^{sh(x)})}))sh^{3}(x)ch^{3}(x) + {{sh(x)}^{sh(x)}}^{sh(x)}*3sh^{2}(x)ch(x)ch^{3}(x) + {{sh(x)}^{sh(x)}}^{sh(x)}sh^{3}(x)*3ch^{2}(x)sh(x) + 3({{sh(x)}^{sh(x)}}^{sh(x)}((ch(x))ln({sh(x)}^{sh(x)}) + \frac{(sh(x))(({sh(x)}^{sh(x)}((ch(x))ln(sh(x)) + \frac{(sh(x))(ch(x))}{(sh(x))})))}{({sh(x)}^{sh(x)})}))sh^{3}(x)ch(x) + 3{{sh(x)}^{sh(x)}}^{sh(x)}*3sh^{2}(x)ch(x)ch(x) + 3{{sh(x)}^{sh(x)}}^{sh(x)}sh^{3}(x)sh(x)\\=&{{sh(x)}^{sh(x)}}^{sh(x)}ln^{4}({sh(x)}^{sh(x)})ch^{4}(x) + {{sh(x)}^{sh(x)}}^{sh(x)}ln(sh(x))ln^{3}({sh(x)}^{sh(x)})sh(x)ch^{4}(x) + 4{{sh(x)}^{sh(x)}}^{sh(x)}ln^{3}({sh(x)}^{sh(x)})sh(x)ch^{4}(x) + 4{{sh(x)}^{sh(x)}}^{sh(x)}ln(sh(x))ln^{2}({sh(x)}^{sh(x)})ch^{4}(x) + 18{{sh(x)}^{sh(x)}}^{sh(x)}ln^{2}({sh(x)}^{sh(x)})ch^{4}(x) + 36{{sh(x)}^{sh(x)}}^{sh(x)}ln({sh(x)}^{sh(x)})sh(x)ch^{4}(x) + 3{{sh(x)}^{sh(x)}}^{sh(x)}ln^{3}({sh(x)}^{sh(x)})ln(sh(x))sh(x)ch^{4}(x) + 3{{sh(x)}^{sh(x)}}^{sh(x)}ln^{2}(sh(x))ln^{2}({sh(x)}^{sh(x)})sh^{2}(x)ch^{4}(x) + 4{{sh(x)}^{sh(x)}}^{sh(x)}ln(sh(x))ln^{2}({sh(x)}^{sh(x)})sh^{2}(x)ch^{4}(x) + 16{{sh(x)}^{sh(x)}}^{sh(x)}ln^{2}(sh(x))ln({sh(x)}^{sh(x)})sh(x)ch^{4}(x) + 32{{sh(x)}^{sh(x)}}^{sh(x)}ln({sh(x)}^{sh(x)})ln(sh(x))sh(x)ch^{4}(x) + 6{{sh(x)}^{sh(x)}}^{sh(x)}ln(sh(x))ln^{2}({sh(x)}^{sh(x)})sh^{2}(x)ch^{2}(x) + 6{{sh(x)}^{sh(x)}}^{sh(x)}ln^{2}({sh(x)}^{sh(x)})sh^{2}(x)ch^{4}(x) + 28{{sh(x)}^{sh(x)}}^{sh(x)}ln(sh(x))ln({sh(x)}^{sh(x)})sh(x)ch^{4}(x) + 18{{sh(x)}^{sh(x)}}^{sh(x)}ln^{2}({sh(x)}^{sh(x)})sh^{2}(x)ch^{2}(x) + 8{{sh(x)}^{sh(x)}}^{sh(x)}ln^{2}({sh(x)}^{sh(x)})ln(sh(x))ch^{4}(x) + \frac{8{{sh(x)}^{sh(x)}}^{sh(x)}ln({sh(x)}^{sh(x)})ch^{4}(x)}{sh(x)} + 12{{sh(x)}^{sh(x)}}^{sh(x)}ln^{2}(sh(x))ch^{4}(x) + 44{{sh(x)}^{sh(x)}}^{sh(x)}ln(sh(x))ch^{4}(x) + 35{{sh(x)}^{sh(x)}}^{sh(x)}ch^{4}(x) + 62{{sh(x)}^{sh(x)}}^{sh(x)}ln({sh(x)}^{sh(x)})sh(x)ch^{2}(x) + 8{{sh(x)}^{sh(x)}}^{sh(x)}ln({sh(x)}^{sh(x)})ln^{2}(sh(x))sh(x)ch^{4}(x) + 12{{sh(x)}^{sh(x)}}^{sh(x)}ln^{3}(sh(x))sh^{2}(x)ch^{4}(x) + 42{{sh(x)}^{sh(x)}}^{sh(x)}ln^{2}(sh(x))sh^{2}(x)ch^{4}(x) + 40{{sh(x)}^{sh(x)}}^{sh(x)}ln^{2}(sh(x))sh^{2}(x)ch^{2}(x) + 8{{sh(x)}^{sh(x)}}^{sh(x)}ln^{2}({sh(x)}^{sh(x)})ln(sh(x))sh^{2}(x)ch^{4}(x) + 12{{sh(x)}^{sh(x)}}^{sh(x)}ln^{2}({sh(x)}^{sh(x)})ln(sh(x))sh^{2}(x)ch^{2}(x) + 3{{sh(x)}^{sh(x)}}^{sh(x)}ln^{2}({sh(x)}^{sh(x)})ln^{2}(sh(x))sh^{2}(x)ch^{4}(x) + 3{{sh(x)}^{sh(x)}}^{sh(x)}ln^{3}(sh(x))ln({sh(x)}^{sh(x)})sh^{3}(x)ch^{4}(x) + 8{{sh(x)}^{sh(x)}}^{sh(x)}ln^{2}(sh(x))ln({sh(x)}^{sh(x)})sh^{3}(x)ch^{4}(x) + 12{{sh(x)}^{sh(x)}}^{sh(x)}ln^{2}(sh(x))ln({sh(x)}^{sh(x)})sh^{3}(x)ch^{2}(x) + 6{{sh(x)}^{sh(x)}}^{sh(x)}ln(sh(x))ln({sh(x)}^{sh(x)})sh^{3}(x)ch^{4}(x) + 48{{sh(x)}^{sh(x)}}^{sh(x)}ln(sh(x))sh^{2}(x)ch^{4}(x) + 22{{sh(x)}^{sh(x)}}^{sh(x)}ln(sh(x))ln({sh(x)}^{sh(x)})sh(x)ch^{2}(x) + 18{{sh(x)}^{sh(x)}}^{sh(x)}ln(sh(x))ln({sh(x)}^{sh(x)})sh^{3}(x)ch^{2}(x) + 98{{sh(x)}^{sh(x)}}^{sh(x)}ln(sh(x))sh^{2}(x)ch^{2}(x) + 18{{sh(x)}^{sh(x)}}^{sh(x)}ln({sh(x)}^{sh(x)})ln(sh(x))sh^{3}(x)ch^{2}(x) + 4{{sh(x)}^{sh(x)}}^{sh(x)}ln({sh(x)}^{sh(x)})sh^{3}(x)ch^{4}(x) + 18{{sh(x)}^{sh(x)}}^{sh(x)}sh^{2}(x)ch^{4}(x) + 18{{sh(x)}^{sh(x)}}^{sh(x)}ln({sh(x)}^{sh(x)})sh^{3}(x)ch^{2}(x) + 58{{sh(x)}^{sh(x)}}^{sh(x)}sh^{2}(x)ch^{2}(x) + 6{{sh(x)}^{sh(x)}}^{sh(x)}ln^{3}(sh(x))sh^{4}(x)ch^{2}(x) + 22{{sh(x)}^{sh(x)}}^{sh(x)}ln({sh(x)}^{sh(x)})ln(sh(x))sh(x)ch^{2}(x) - \frac{2{{sh(x)}^{sh(x)}}^{sh(x)}ch^{4}(x)}{sh^{2}(x)} + 24{{sh(x)}^{sh(x)}}^{sh(x)}ch^{2}(x) + 6{{sh(x)}^{sh(x)}}^{sh(x)}ln({sh(x)}^{sh(x)})ln(sh(x))sh^{3}(x)ch^{4}(x) + 6{{sh(x)}^{sh(x)}}^{sh(x)}ln({sh(x)}^{sh(x)})ln^{2}(sh(x))sh^{3}(x)ch^{2}(x) + {{sh(x)}^{sh(x)}}^{sh(x)}ln({sh(x)}^{sh(x)})ln^{3}(sh(x))sh^{3}(x)ch^{4}(x) + 4{{sh(x)}^{sh(x)}}^{sh(x)}ln({sh(x)}^{sh(x)})ln^{2}(sh(x))sh^{3}(x)ch^{4}(x) + {{sh(x)}^{sh(x)}}^{sh(x)}ln^{4}(sh(x))sh^{4}(x)ch^{4}(x) + 4{{sh(x)}^{sh(x)}}^{sh(x)}ln^{3}(sh(x))sh^{4}(x)ch^{4}(x) + 18{{sh(x)}^{sh(x)}}^{sh(x)}ln^{2}(sh(x))sh^{4}(x)ch^{2}(x) + 3{{sh(x)}^{sh(x)}}^{sh(x)}ln(sh(x))ln({sh(x)}^{sh(x)})sh^{3}(x) + 6{{sh(x)}^{sh(x)}}^{sh(x)}ln^{2}(sh(x))sh^{4}(x)ch^{4}(x) + 18{{sh(x)}^{sh(x)}}^{sh(x)}ln(sh(x))sh^{4}(x)ch^{2}(x) + 6{{sh(x)}^{sh(x)}}^{sh(x)}ln^{3}({sh(x)}^{sh(x)})sh(x)ch^{2}(x) + 4{{sh(x)}^{sh(x)}}^{sh(x)}ln^{2}({sh(x)}^{sh(x)})ch^{2}(x) + 3{{sh(x)}^{sh(x)}}^{sh(x)}ln({sh(x)}^{sh(x)})ln(sh(x))sh^{3}(x) + 4{{sh(x)}^{sh(x)}}^{sh(x)}ln(sh(x))sh^{4}(x)ch^{4}(x) + 6{{sh(x)}^{sh(x)}}^{sh(x)}ln({sh(x)}^{sh(x)})sh^{3}(x) + 8{{sh(x)}^{sh(x)}}^{sh(x)}ln(sh(x))ch^{2}(x) + 7{{sh(x)}^{sh(x)}}^{sh(x)}ln(sh(x))sh^{2}(x) + 3{{sh(x)}^{sh(x)}}^{sh(x)}ln^{2}({sh(x)}^{sh(x)})sh^{2}(x) + 6{{sh(x)}^{sh(x)}}^{sh(x)}ln(sh(x))sh^{4}(x) + 6{{sh(x)}^{sh(x)}}^{sh(x)}sh^{4}(x)ch^{2}(x) + {{sh(x)}^{sh(x)}}^{sh(x)}ln({sh(x)}^{sh(x)})sh(x) + 3{{sh(x)}^{sh(x)}}^{sh(x)}ln^{2}(sh(x))sh^{4}(x) + {{sh(x)}^{sh(x)}}^{sh(x)}sh^{4}(x)ch^{4}(x) + 10{{sh(x)}^{sh(x)}}^{sh(x)}sh^{2}(x) + 3{{sh(x)}^{sh(x)}}^{sh(x)}sh^{4}(x)\\ \end{split}\end{equation} \]



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