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。
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。
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。
\[ \begin{equation}\begin{split}【1/1】求函数sh(sh(sh(sh(x)))) 关于 x 的 4 阶导数：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &\color{blue}{函数的第 1 阶导数：}\\&\frac{d\left( sh(sh(sh(sh(x))))\right)}{dx}\\=&ch(sh(sh(sh(x))))ch(sh(sh(x)))ch(sh(x))ch(x)\\=&ch(sh(sh(sh(x))))ch(sh(sh(x)))ch(x)ch(sh(x))\\\\ &\color{blue}{函数的第 2 阶导数：} \\&\frac{d\left( ch(sh(sh(sh(x))))ch(sh(sh(x)))ch(x)ch(sh(x))\right)}{dx}\\=&sh(sh(sh(sh(x))))ch(sh(sh(x)))ch(sh(x))ch(x)ch(sh(sh(x)))ch(x)ch(sh(x)) + ch(sh(sh(sh(x))))sh(sh(sh(x)))ch(sh(x))ch(x)ch(x)ch(sh(x)) + ch(sh(sh(sh(x))))ch(sh(sh(x)))sh(x)ch(sh(x)) + ch(sh(sh(sh(x))))ch(sh(sh(x)))ch(x)sh(sh(x))ch(x)\\=&sh(sh(sh(sh(x))))ch^{2}(sh(x))ch^{2}(x)ch^{2}(sh(sh(x))) + sh(sh(sh(x)))ch^{2}(sh(x))ch^{2}(x)ch(sh(sh(sh(x)))) + sh(x)ch(sh(sh(x)))ch(sh(sh(sh(x))))ch(sh(x)) + sh(sh(x))ch^{2}(x)ch(sh(sh(sh(x))))ch(sh(sh(x)))\\\\ &\color{blue}{函数的第 3 阶导数：} \\&\frac{d\left( sh(sh(sh(sh(x))))ch^{2}(sh(x))ch^{2}(x)ch^{2}(sh(sh(x))) + sh(sh(sh(x)))ch^{2}(sh(x))ch^{2}(x)ch(sh(sh(sh(x)))) + sh(x)ch(sh(sh(x)))ch(sh(sh(sh(x))))ch(sh(x)) + sh(sh(x))ch^{2}(x)ch(sh(sh(sh(x))))ch(sh(sh(x)))\right)}{dx}\\=&ch(sh(sh(sh(x))))ch(sh(sh(x)))ch(sh(x))ch(x)ch^{2}(sh(x))ch^{2}(x)ch^{2}(sh(sh(x))) + sh(sh(sh(sh(x))))*2ch(sh(x))sh(sh(x))ch(x)ch^{2}(x)ch^{2}(sh(sh(x))) + sh(sh(sh(sh(x))))ch^{2}(sh(x))*2ch(x)sh(x)ch^{2}(sh(sh(x))) + sh(sh(sh(sh(x))))ch^{2}(sh(x))ch^{2}(x)*2ch(sh(sh(x)))sh(sh(sh(x)))ch(sh(x))ch(x) + ch(sh(sh(x)))ch(sh(x))ch(x)ch^{2}(sh(x))ch^{2}(x)ch(sh(sh(sh(x)))) + sh(sh(sh(x)))*2ch(sh(x))sh(sh(x))ch(x)ch^{2}(x)ch(sh(sh(sh(x)))) + sh(sh(sh(x)))ch^{2}(sh(x))*2ch(x)sh(x)ch(sh(sh(sh(x)))) + sh(sh(sh(x)))ch^{2}(sh(x))ch^{2}(x)sh(sh(sh(sh(x))))ch(sh(sh(x)))ch(sh(x))ch(x) + ch(x)ch(sh(sh(x)))ch(sh(sh(sh(x))))ch(sh(x)) + sh(x)sh(sh(sh(x)))ch(sh(x))ch(x)ch(sh(sh(sh(x))))ch(sh(x)) + sh(x)ch(sh(sh(x)))sh(sh(sh(sh(x))))ch(sh(sh(x)))ch(sh(x))ch(x)ch(sh(x)) + sh(x)ch(sh(sh(x)))ch(sh(sh(sh(x))))sh(sh(x))ch(x) + ch(sh(x))ch(x)ch^{2}(x)ch(sh(sh(sh(x))))ch(sh(sh(x))) + sh(sh(x))*2ch(x)sh(x)ch(sh(sh(sh(x))))ch(sh(sh(x))) + sh(sh(x))ch^{2}(x)sh(sh(sh(sh(x))))ch(sh(sh(x)))ch(sh(x))ch(x)ch(sh(sh(x))) + sh(sh(x))ch^{2}(x)ch(sh(sh(sh(x))))sh(sh(sh(x)))ch(sh(x))ch(x)\\=&ch(sh(sh(sh(x))))ch^{3}(sh(sh(x)))ch^{3}(x)ch^{3}(sh(x)) + 2sh(sh(x))sh(sh(sh(sh(x))))ch^{3}(x)ch(sh(x))ch^{2}(sh(sh(x))) + 2sh(x)sh(sh(sh(sh(x))))ch^{2}(sh(x))ch(x)ch^{2}(sh(sh(x))) + 2sh(sh(sh(x)))sh(sh(sh(sh(x))))ch^{3}(sh(x))ch^{3}(x)ch(sh(sh(x))) + ch^{3}(sh(x))ch^{3}(x)ch(sh(sh(x)))ch(sh(sh(sh(x)))) + 2sh(sh(x))sh(sh(sh(x)))ch^{3}(x)ch(sh(x))ch(sh(sh(sh(x)))) + 2sh(x)sh(sh(sh(x)))ch^{2}(sh(x))ch(x)ch(sh(sh(sh(x)))) + sh(sh(sh(sh(x))))sh(sh(sh(x)))ch^{3}(sh(x))ch(sh(sh(x)))ch^{3}(x) + ch(x)ch(sh(sh(x)))ch(sh(sh(sh(x))))ch(sh(x)) + sh(sh(sh(x)))sh(x)ch(x)ch^{2}(sh(x))ch(sh(sh(sh(x)))) + sh(sh(sh(sh(x))))sh(x)ch^{2}(sh(sh(x)))ch(x)ch^{2}(sh(x)) + sh(sh(x))sh(x)ch(sh(sh(sh(x))))ch(x)ch(sh(sh(x))) + ch^{3}(x)ch(sh(x))ch(sh(sh(sh(x))))ch(sh(sh(x))) + 2sh(x)sh(sh(x))ch(x)ch(sh(sh(sh(x))))ch(sh(sh(x))) + sh(sh(sh(sh(x))))sh(sh(x))ch^{3}(x)ch^{2}(sh(sh(x)))ch(sh(x)) + sh(sh(sh(x)))sh(sh(x))ch^{3}(x)ch(sh(sh(sh(x))))ch(sh(x))\\\\ &\color{blue}{函数的第 4 阶导数：} \\&\frac{d\left( ch(sh(sh(sh(x))))ch^{3}(sh(sh(x)))ch^{3}(x)ch^{3}(sh(x)) + 2sh(sh(x))sh(sh(sh(sh(x))))ch^{3}(x)ch(sh(x))ch^{2}(sh(sh(x))) + 2sh(x)sh(sh(sh(sh(x))))ch^{2}(sh(x))ch(x)ch^{2}(sh(sh(x))) + 2sh(sh(sh(x)))sh(sh(sh(sh(x))))ch^{3}(sh(x))ch^{3}(x)ch(sh(sh(x))) + ch^{3}(sh(x))ch^{3}(x)ch(sh(sh(x)))ch(sh(sh(sh(x)))) + 2sh(sh(x))sh(sh(sh(x)))ch^{3}(x)ch(sh(x))ch(sh(sh(sh(x)))) + 2sh(x)sh(sh(sh(x)))ch^{2}(sh(x))ch(x)ch(sh(sh(sh(x)))) + sh(sh(sh(sh(x))))sh(sh(sh(x)))ch^{3}(sh(x))ch(sh(sh(x)))ch^{3}(x) + ch(x)ch(sh(sh(x)))ch(sh(sh(sh(x))))ch(sh(x)) + sh(sh(sh(x)))sh(x)ch(x)ch^{2}(sh(x))ch(sh(sh(sh(x)))) + sh(sh(sh(sh(x))))sh(x)ch^{2}(sh(sh(x)))ch(x)ch^{2}(sh(x)) + sh(sh(x))sh(x)ch(sh(sh(sh(x))))ch(x)ch(sh(sh(x))) + ch^{3}(x)ch(sh(x))ch(sh(sh(sh(x))))ch(sh(sh(x))) + 2sh(x)sh(sh(x))ch(x)ch(sh(sh(sh(x))))ch(sh(sh(x))) + sh(sh(sh(sh(x))))sh(sh(x))ch^{3}(x)ch^{2}(sh(sh(x)))ch(sh(x)) + sh(sh(sh(x)))sh(sh(x))ch^{3}(x)ch(sh(sh(sh(x))))ch(sh(x))\right)}{dx}\\=&sh(sh(sh(sh(x))))ch(sh(sh(x)))ch(sh(x))ch(x)ch^{3}(sh(sh(x)))ch^{3}(x)ch^{3}(sh(x)) + ch(sh(sh(sh(x))))*3ch^{2}(sh(sh(x)))sh(sh(sh(x)))ch(sh(x))ch(x)ch^{3}(x)ch^{3}(sh(x)) + ch(sh(sh(sh(x))))ch^{3}(sh(sh(x)))*3ch^{2}(x)sh(x)ch^{3}(sh(x)) + ch(sh(sh(sh(x))))ch^{3}(sh(sh(x)))ch^{3}(x)*3ch^{2}(sh(x))sh(sh(x))ch(x) + 2ch(sh(x))ch(x)sh(sh(sh(sh(x))))ch^{3}(x)ch(sh(x))ch^{2}(sh(sh(x))) + 2sh(sh(x))ch(sh(sh(sh(x))))ch(sh(sh(x)))ch(sh(x))ch(x)ch^{3}(x)ch(sh(x))ch^{2}(sh(sh(x))) + 2sh(sh(x))sh(sh(sh(sh(x))))*3ch^{2}(x)sh(x)ch(sh(x))ch^{2}(sh(sh(x))) + 2sh(sh(x))sh(sh(sh(sh(x))))ch^{3}(x)sh(sh(x))ch(x)ch^{2}(sh(sh(x))) + 2sh(sh(x))sh(sh(sh(sh(x))))ch^{3}(x)ch(sh(x))*2ch(sh(sh(x)))sh(sh(sh(x)))ch(sh(x))ch(x) + 2ch(x)sh(sh(sh(sh(x))))ch^{2}(sh(x))ch(x)ch^{2}(sh(sh(x))) + 2sh(x)ch(sh(sh(sh(x))))ch(sh(sh(x)))ch(sh(x))ch(x)ch^{2}(sh(x))ch(x)ch^{2}(sh(sh(x))) + 2sh(x)sh(sh(sh(sh(x))))*2ch(sh(x))sh(sh(x))ch(x)ch(x)ch^{2}(sh(sh(x))) + 2sh(x)sh(sh(sh(sh(x))))ch^{2}(sh(x))sh(x)ch^{2}(sh(sh(x))) + 2sh(x)sh(sh(sh(sh(x))))ch^{2}(sh(x))ch(x)*2ch(sh(sh(x)))sh(sh(sh(x)))ch(sh(x))ch(x) + 2ch(sh(sh(x)))ch(sh(x))ch(x)sh(sh(sh(sh(x))))ch^{3}(sh(x))ch^{3}(x)ch(sh(sh(x))) + 2sh(sh(sh(x)))ch(sh(sh(sh(x))))ch(sh(sh(x)))ch(sh(x))ch(x)ch^{3}(sh(x))ch^{3}(x)ch(sh(sh(x))) + 2sh(sh(sh(x)))sh(sh(sh(sh(x))))*3ch^{2}(sh(x))sh(sh(x))ch(x)ch^{3}(x)ch(sh(sh(x))) + 2sh(sh(sh(x)))sh(sh(sh(sh(x))))ch^{3}(sh(x))*3ch^{2}(x)sh(x)ch(sh(sh(x))) + 2sh(sh(sh(x)))sh(sh(sh(sh(x))))ch^{3}(sh(x))ch^{3}(x)sh(sh(sh(x)))ch(sh(x))ch(x) + 3ch^{2}(sh(x))sh(sh(x))ch(x)ch^{3}(x)ch(sh(sh(x)))ch(sh(sh(sh(x)))) + ch^{3}(sh(x))*3ch^{2}(x)sh(x)ch(sh(sh(x)))ch(sh(sh(sh(x)))) + ch^{3}(sh(x))ch^{3}(x)sh(sh(sh(x)))ch(sh(x))ch(x)ch(sh(sh(sh(x)))) + ch^{3}(sh(x))ch^{3}(x)ch(sh(sh(x)))sh(sh(sh(sh(x))))ch(sh(sh(x)))ch(sh(x))ch(x) + 2ch(sh(x))ch(x)sh(sh(sh(x)))ch^{3}(x)ch(sh(x))ch(sh(sh(sh(x)))) + 2sh(sh(x))ch(sh(sh(x)))ch(sh(x))ch(x)ch^{3}(x)ch(sh(x))ch(sh(sh(sh(x)))) + 2sh(sh(x))sh(sh(sh(x)))*3ch^{2}(x)sh(x)ch(sh(x))ch(sh(sh(sh(x)))) + 2sh(sh(x))sh(sh(sh(x)))ch^{3}(x)sh(sh(x))ch(x)ch(sh(sh(sh(x)))) + 2sh(sh(x))sh(sh(sh(x)))ch^{3}(x)ch(sh(x))sh(sh(sh(sh(x))))ch(sh(sh(x)))ch(sh(x))ch(x) + 2ch(x)sh(sh(sh(x)))ch^{2}(sh(x))ch(x)ch(sh(sh(sh(x)))) + 2sh(x)ch(sh(sh(x)))ch(sh(x))ch(x)ch^{2}(sh(x))ch(x)ch(sh(sh(sh(x)))) + 2sh(x)sh(sh(sh(x)))*2ch(sh(x))sh(sh(x))ch(x)ch(x)ch(sh(sh(sh(x)))) + 2sh(x)sh(sh(sh(x)))ch^{2}(sh(x))sh(x)ch(sh(sh(sh(x)))) + 2sh(x)sh(sh(sh(x)))ch^{2}(sh(x))ch(x)sh(sh(sh(sh(x))))ch(sh(sh(x)))ch(sh(x))ch(x) + ch(sh(sh(sh(x))))ch(sh(sh(x)))ch(sh(x))ch(x)sh(sh(sh(x)))ch^{3}(sh(x))ch(sh(sh(x)))ch^{3}(x) + sh(sh(sh(sh(x))))ch(sh(sh(x)))ch(sh(x))ch(x)ch^{3}(sh(x))ch(sh(sh(x)))ch^{3}(x) + sh(sh(sh(sh(x))))sh(sh(sh(x)))*3ch^{2}(sh(x))sh(sh(x))ch(x)ch(sh(sh(x)))ch^{3}(x) + sh(sh(sh(sh(x))))sh(sh(sh(x)))ch^{3}(sh(x))sh(sh(sh(x)))ch(sh(x))ch(x)ch^{3}(x) + sh(sh(sh(sh(x))))sh(sh(sh(x)))ch^{3}(sh(x))ch(sh(sh(x)))*3ch^{2}(x)sh(x) + sh(x)ch(sh(sh(x)))ch(sh(sh(sh(x))))ch(sh(x)) + ch(x)sh(sh(sh(x)))ch(sh(x))ch(x)ch(sh(sh(sh(x))))ch(sh(x)) + ch(x)ch(sh(sh(x)))sh(sh(sh(sh(x))))ch(sh(sh(x)))ch(sh(x))ch(x)ch(sh(x)) + ch(x)ch(sh(sh(x)))ch(sh(sh(sh(x))))sh(sh(x))ch(x) + ch(sh(sh(x)))ch(sh(x))ch(x)sh(x)ch(x)ch^{2}(sh(x))ch(sh(sh(sh(x)))) + sh(sh(sh(x)))ch(x)ch(x)ch^{2}(sh(x))ch(sh(sh(sh(x)))) + sh(sh(sh(x)))sh(x)sh(x)ch^{2}(sh(x))ch(sh(sh(sh(x)))) + sh(sh(sh(x)))sh(x)ch(x)*2ch(sh(x))sh(sh(x))ch(x)ch(sh(sh(sh(x)))) + sh(sh(sh(x)))sh(x)ch(x)ch^{2}(sh(x))sh(sh(sh(sh(x))))ch(sh(sh(x)))ch(sh(x))ch(x) + ch(sh(sh(sh(x))))ch(sh(sh(x)))ch(sh(x))ch(x)sh(x)ch^{2}(sh(sh(x)))ch(x)ch^{2}(sh(x)) + sh(sh(sh(sh(x))))ch(x)ch^{2}(sh(sh(x)))ch(x)ch^{2}(sh(x)) + sh(sh(sh(sh(x))))sh(x)*2ch(sh(sh(x)))sh(sh(sh(x)))ch(sh(x))ch(x)ch(x)ch^{2}(sh(x)) + sh(sh(sh(sh(x))))sh(x)ch^{2}(sh(sh(x)))sh(x)ch^{2}(sh(x)) + sh(sh(sh(sh(x))))sh(x)ch^{2}(sh(sh(x)))ch(x)*2ch(sh(x))sh(sh(x))ch(x) + ch(sh(x))ch(x)sh(x)ch(sh(sh(sh(x))))ch(x)ch(sh(sh(x))) + sh(sh(x))ch(x)ch(sh(sh(sh(x))))ch(x)ch(sh(sh(x))) + sh(sh(x))sh(x)sh(sh(sh(sh(x))))ch(sh(sh(x)))ch(sh(x))ch(x)ch(x)ch(sh(sh(x))) + sh(sh(x))sh(x)ch(sh(sh(sh(x))))sh(x)ch(sh(sh(x))) + sh(sh(x))sh(x)ch(sh(sh(sh(x))))ch(x)sh(sh(sh(x)))ch(sh(x))ch(x) + 3ch^{2}(x)sh(x)ch(sh(x))ch(sh(sh(sh(x))))ch(sh(sh(x))) + ch^{3}(x)sh(sh(x))ch(x)ch(sh(sh(sh(x))))ch(sh(sh(x))) + ch^{3}(x)ch(sh(x))sh(sh(sh(sh(x))))ch(sh(sh(x)))ch(sh(x))ch(x)ch(sh(sh(x))) + ch^{3}(x)ch(sh(x))ch(sh(sh(sh(x))))sh(sh(sh(x)))ch(sh(x))ch(x) + 2ch(x)sh(sh(x))ch(x)ch(sh(sh(sh(x))))ch(sh(sh(x))) + 2sh(x)ch(sh(x))ch(x)ch(x)ch(sh(sh(sh(x))))ch(sh(sh(x))) + 2sh(x)sh(sh(x))sh(x)ch(sh(sh(sh(x))))ch(sh(sh(x))) + 2sh(x)sh(sh(x))ch(x)sh(sh(sh(sh(x))))ch(sh(sh(x)))ch(sh(x))ch(x)ch(sh(sh(x))) + 2sh(x)sh(sh(x))ch(x)ch(sh(sh(sh(x))))sh(sh(sh(x)))ch(sh(x))ch(x) + ch(sh(sh(sh(x))))ch(sh(sh(x)))ch(sh(x))ch(x)sh(sh(x))ch^{3}(x)ch^{2}(sh(sh(x)))ch(sh(x)) + sh(sh(sh(sh(x))))ch(sh(x))ch(x)ch^{3}(x)ch^{2}(sh(sh(x)))ch(sh(x)) + sh(sh(sh(sh(x))))sh(sh(x))*3ch^{2}(x)sh(x)ch^{2}(sh(sh(x)))ch(sh(x)) + sh(sh(sh(sh(x))))sh(sh(x))ch^{3}(x)*2ch(sh(sh(x)))sh(sh(sh(x)))ch(sh(x))ch(x)ch(sh(x)) + sh(sh(sh(sh(x))))sh(sh(x))ch^{3}(x)ch^{2}(sh(sh(x)))sh(sh(x))ch(x) + ch(sh(sh(x)))ch(sh(x))ch(x)sh(sh(x))ch^{3}(x)ch(sh(sh(sh(x))))ch(sh(x)) + sh(sh(sh(x)))ch(sh(x))ch(x)ch^{3}(x)ch(sh(sh(sh(x))))ch(sh(x)) + sh(sh(sh(x)))sh(sh(x))*3ch^{2}(x)sh(x)ch(sh(sh(sh(x))))ch(sh(x)) + sh(sh(sh(x)))sh(sh(x))ch^{3}(x)sh(sh(sh(sh(x))))ch(sh(sh(x)))ch(sh(x))ch(x)ch(sh(x)) + sh(sh(sh(x)))sh(sh(x))ch^{3}(x)ch(sh(sh(sh(x))))sh(sh(x))ch(x)\\=&2sh(sh(x))ch(sh(sh(sh(x))))ch^{3}(sh(sh(x)))ch^{4}(x)ch^{2}(sh(x)) + 3sh(sh(sh(x)))ch^{2}(sh(sh(x)))ch(sh(sh(sh(x))))ch^{4}(x)ch^{4}(sh(x)) + 3sh(x)ch^{2}(x)ch^{3}(sh(sh(x)))ch(sh(sh(sh(x))))ch^{3}(sh(x)) + 3sh(sh(x))ch^{3}(sh(sh(x)))ch^{4}(x)ch(sh(sh(sh(x))))ch^{2}(sh(x)) + 2sh(x)ch(sh(sh(sh(x))))ch^{3}(sh(sh(x)))ch^{2}(x)ch^{3}(sh(x)) + 2sh(sh(sh(x)))ch(sh(sh(sh(x))))ch^{2}(sh(sh(x)))ch^{4}(x)ch^{4}(sh(x)) + 6sh(sh(x))sh(x)sh(sh(sh(sh(x))))ch^{2}(x)ch(sh(x))ch^{2}(sh(sh(x))) + 4sh(sh(sh(sh(x))))sh(x)sh(sh(x))ch^{2}(x)ch(sh(x))ch^{2}(sh(sh(x))) + 4sh(sh(sh(x)))sh(sh(sh(sh(x))))sh(sh(x))ch^{2}(sh(x))ch^{4}(x)ch(sh(sh(x))) + sh(sh(sh(x)))ch^{2}(sh(sh(x)))ch^{4}(x)ch^{4}(sh(x))ch(sh(sh(sh(x)))) + 3sh(sh(x))ch^{4}(x)ch^{2}(sh(x))ch(sh(sh(x)))ch(sh(sh(sh(x)))) + 6sh(sh(sh(sh(x))))sh(sh(sh(x)))sh(sh(x))ch^{4}(x)ch^{2}(sh(x))ch(sh(sh(x))) + 8sh(sh(sh(x)))sh(x)sh(sh(sh(sh(x))))ch^{3}(sh(x))ch^{2}(x)ch(sh(sh(x))) + 4sh(sh(sh(x)))sh(sh(sh(sh(x))))sh(x)ch^{3}(sh(x))ch^{2}(x)ch(sh(sh(x))) + 5sh(x)ch^{3}(sh(x))ch^{2}(x)ch(sh(sh(x)))ch(sh(sh(sh(x)))) + 2sh(sh(x))ch^{2}(sh(x))ch^{4}(x)ch(sh(sh(x)))ch(sh(sh(sh(x)))) + 4sh(sh(sh(x)))sh(x)sh(sh(x))ch^{2}(x)ch(sh(x))ch(sh(sh(sh(x)))) + 6sh(sh(x))sh(x)sh(sh(sh(x)))ch^{2}(x)ch(sh(x))ch(sh(sh(sh(x)))) + sh(x)ch^{3}(sh(sh(x)))ch^{2}(x)ch^{3}(sh(x))ch(sh(sh(sh(x)))) + sh(sh(x))ch^{3}(sh(sh(x)))ch^{4}(x)ch^{2}(sh(x))ch(sh(sh(sh(x)))) + sh(x)ch^{2}(x)ch(sh(sh(x)))ch^{3}(sh(x))ch(sh(sh(sh(x)))) + sh(sh(x))ch^{4}(x)ch(sh(sh(x)))ch^{2}(sh(x))ch(sh(sh(sh(x)))) + sh(x)ch(sh(x))ch^{2}(x)ch(sh(sh(sh(x))))ch(sh(sh(x))) + 3sh(sh(sh(sh(x))))sh(x)sh(sh(sh(x)))ch^{2}(x)ch(sh(sh(x)))ch^{3}(sh(x)) + 3sh(sh(sh(x)))sh(sh(sh(sh(x))))sh(sh(x))ch^{4}(x)ch^{2}(sh(x))ch(sh(sh(x))) + 2sh(sh(x))sh(sh(sh(sh(x))))sh(sh(sh(x)))ch^{2}(sh(x))ch(sh(sh(x)))ch^{4}(x) + 5sh(x)ch^{2}(x)ch(sh(x))ch(sh(sh(sh(x))))ch(sh(sh(x))) + sh(sh(sh(sh(x))))ch^{4}(sh(x))ch^{4}(x)ch^{2}(sh(sh(x))) + 2sh(x)sh(sh(sh(x)))sh(sh(x))ch^{2}(x)ch(sh(x))ch(sh(sh(sh(x)))) + 3sh(sh(sh(sh(x))))sh(x)sh(sh(x))ch^{2}(x)ch^{2}(sh(sh(x)))ch(sh(x)) + 2sh(x)sh(sh(sh(sh(x))))sh(sh(sh(x)))ch^{3}(sh(x))ch(sh(sh(x)))ch^{2}(x) + 2sh(sh(sh(sh(x))))ch^{4}(x)ch^{2}(sh(sh(x)))ch^{4}(sh(x)) + 2sh(sh(sh(sh(x))))ch^{2}(x)ch^{2}(sh(x))ch^{2}(sh(sh(x))) + 2sh(x)sh(sh(sh(sh(x))))sh(sh(x))ch^{2}(sh(sh(x)))ch(sh(x))ch^{2}(x) + 2sh(sh(sh(x)))sh(sh(x))sh(sh(sh(sh(x))))ch(sh(sh(x)))ch^{4}(x)ch^{2}(sh(x)) + 3sh(sh(sh(x)))sh(x)sh(sh(x))ch^{2}(x)ch(sh(sh(sh(x))))ch(sh(x)) + 2sh(sh(sh(sh(x))))ch^{2}(sh(x))ch^{4}(x)ch^{2}(sh(sh(x))) + sh(sh(sh(sh(x))))ch^{2}(sh(x))ch^{2}(sh(sh(x)))ch^{2}(x) + 2sh(sh(sh(x)))ch^{2}(sh(x))ch^{4}(x)ch(sh(sh(sh(x)))) + sh(sh(sh(x)))ch^{4}(sh(x))ch^{4}(x)ch(sh(sh(sh(x)))) + sh(sh(sh(sh(x))))ch^{2}(x)ch^{2}(sh(sh(x)))ch^{2}(sh(x)) + sh(sh(sh(x)))sh^{2}(x)ch^{2}(sh(x))ch(sh(sh(sh(x)))) + 2sh(sh(sh(sh(x))))sh^{2}(sh(x))ch^{4}(x)ch^{2}(sh(sh(x))) + sh(sh(sh(x)))sh(sh(sh(sh(x))))sh(x)ch^{3}(sh(x))ch(sh(sh(x)))ch^{2}(x) + sh(sh(sh(sh(x))))ch^{2}(sh(sh(x)))ch^{4}(sh(x))ch^{4}(x) + 3sh(sh(x))ch^{2}(x)ch(sh(sh(sh(x))))ch(sh(sh(x))) + 3sh^{2}(sh(sh(x)))sh(sh(sh(sh(x))))ch^{4}(sh(x))ch^{4}(x) + sh(sh(sh(sh(x))))sh^{2}(x)ch^{2}(sh(sh(x)))ch^{2}(sh(x)) + 2sh(sh(sh(x)))sh^{2}(sh(x))ch^{4}(x)ch(sh(sh(sh(x)))) + 3sh(sh(sh(x)))ch^{2}(x)ch^{2}(sh(x))ch(sh(sh(sh(x)))) + sh(sh(x))sh(sh(sh(sh(x))))sh(x)ch(sh(x))ch^{2}(x)ch^{2}(sh(sh(x))) + sh(sh(x))sh^{2}(x)ch(sh(sh(sh(x))))ch(sh(sh(x))) + sh(sh(sh(x)))sh(x)sh(sh(x))ch(sh(sh(sh(x))))ch^{2}(x)ch(sh(x)) + sh(sh(sh(sh(x))))ch^{4}(x)ch^{2}(sh(x))ch^{2}(sh(sh(x))) + sh(sh(sh(sh(x))))ch^{2}(sh(x))ch^{2}(sh(sh(x)))ch^{4}(x) + sh(sh(sh(x)))ch^{2}(sh(x))ch(sh(sh(sh(x))))ch^{4}(x) + sh(x)ch(sh(sh(x)))ch(sh(sh(sh(x))))ch(sh(x)) + sh(sh(sh(x)))ch^{4}(x)ch^{2}(sh(x))ch(sh(sh(sh(x)))) + 2sh^{2}(x)sh(sh(x))ch(sh(sh(sh(x))))ch(sh(sh(x))) + 2sh(x)sh(sh(sh(sh(x))))sh(sh(x))ch^{2}(x)ch^{2}(sh(sh(x)))ch(sh(x)) + 2sh(sh(sh(x)))sh(sh(x))sh(x)ch^{2}(x)ch(sh(sh(sh(x))))ch(sh(x)) + sh(sh(sh(sh(x))))ch^{4}(sh(x))ch^{4}(x)ch^{4}(sh(sh(x))) + sh(sh(x))ch^{4}(x)ch(sh(sh(sh(x))))ch(sh(sh(x))) + 2sh^{2}(x)sh(sh(sh(x)))ch^{2}(sh(x))ch(sh(sh(sh(x)))) + sh^{2}(sh(x))sh(sh(sh(sh(x))))ch^{2}(sh(sh(x)))ch^{4}(x) + sh(sh(sh(x)))ch^{2}(sh(x))ch^{2}(x)ch(sh(sh(sh(x)))) + sh(sh(x))ch(sh(sh(sh(x))))ch^{2}(x)ch(sh(sh(x))) + 2sh^{2}(x)sh(sh(sh(sh(x))))ch^{2}(sh(x))ch^{2}(sh(sh(x))) + sh(sh(sh(x)))sh(sh(sh(sh(x))))sh(sh(x))ch^{4}(x)ch(sh(sh(x)))ch^{2}(sh(x)) + sh^{2}(sh(x))sh(sh(sh(x)))ch(sh(sh(sh(x))))ch^{4}(x)\\ \end{split}\end{equation} \]
注意，变量是区分大小写的。
\[ \begin{equation}\begin{split}【1/1】求函数sh(sh(sh(sh(x)))) 关于 x 的 4 阶导数：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &\color{blue}{函数的第 1 阶导数：}\\&\frac{d\left( sh(sh(sh(sh(x))))\right)}{dx}\\=&ch(sh(sh(sh(x))))ch(sh(sh(x)))ch(sh(x))ch(x)\\=&ch(sh(sh(sh(x))))ch(sh(sh(x)))ch(x)ch(sh(x))\\\\ &\color{blue}{函数的第 2 阶导数：} \\&\frac{d\left( ch(sh(sh(sh(x))))ch(sh(sh(x)))ch(x)ch(sh(x))\right)}{dx}\\=&sh(sh(sh(sh(x))))ch(sh(sh(x)))ch(sh(x))ch(x)ch(sh(sh(x)))ch(x)ch(sh(x)) + ch(sh(sh(sh(x))))sh(sh(sh(x)))ch(sh(x))ch(x)ch(x)ch(sh(x)) + ch(sh(sh(sh(x))))ch(sh(sh(x)))sh(x)ch(sh(x)) + ch(sh(sh(sh(x))))ch(sh(sh(x)))ch(x)sh(sh(x))ch(x)\\=&sh(sh(sh(sh(x))))ch^{2}(sh(x))ch^{2}(x)ch^{2}(sh(sh(x))) + sh(sh(sh(x)))ch^{2}(sh(x))ch^{2}(x)ch(sh(sh(sh(x)))) + sh(x)ch(sh(sh(x)))ch(sh(sh(sh(x))))ch(sh(x)) + sh(sh(x))ch^{2}(x)ch(sh(sh(sh(x))))ch(sh(sh(x)))\\\\ &\color{blue}{函数的第 3 阶导数：} \\&\frac{d\left( sh(sh(sh(sh(x))))ch^{2}(sh(x))ch^{2}(x)ch^{2}(sh(sh(x))) + sh(sh(sh(x)))ch^{2}(sh(x))ch^{2}(x)ch(sh(sh(sh(x)))) + sh(x)ch(sh(sh(x)))ch(sh(sh(sh(x))))ch(sh(x)) + sh(sh(x))ch^{2}(x)ch(sh(sh(sh(x))))ch(sh(sh(x)))\right)}{dx}\\=&ch(sh(sh(sh(x))))ch(sh(sh(x)))ch(sh(x))ch(x)ch^{2}(sh(x))ch^{2}(x)ch^{2}(sh(sh(x))) + sh(sh(sh(sh(x))))*2ch(sh(x))sh(sh(x))ch(x)ch^{2}(x)ch^{2}(sh(sh(x))) + sh(sh(sh(sh(x))))ch^{2}(sh(x))*2ch(x)sh(x)ch^{2}(sh(sh(x))) + sh(sh(sh(sh(x))))ch^{2}(sh(x))ch^{2}(x)*2ch(sh(sh(x)))sh(sh(sh(x)))ch(sh(x))ch(x) + ch(sh(sh(x)))ch(sh(x))ch(x)ch^{2}(sh(x))ch^{2}(x)ch(sh(sh(sh(x)))) + sh(sh(sh(x)))*2ch(sh(x))sh(sh(x))ch(x)ch^{2}(x)ch(sh(sh(sh(x)))) + sh(sh(sh(x)))ch^{2}(sh(x))*2ch(x)sh(x)ch(sh(sh(sh(x)))) + sh(sh(sh(x)))ch^{2}(sh(x))ch^{2}(x)sh(sh(sh(sh(x))))ch(sh(sh(x)))ch(sh(x))ch(x) + ch(x)ch(sh(sh(x)))ch(sh(sh(sh(x))))ch(sh(x)) + sh(x)sh(sh(sh(x)))ch(sh(x))ch(x)ch(sh(sh(sh(x))))ch(sh(x)) + sh(x)ch(sh(sh(x)))sh(sh(sh(sh(x))))ch(sh(sh(x)))ch(sh(x))ch(x)ch(sh(x)) + sh(x)ch(sh(sh(x)))ch(sh(sh(sh(x))))sh(sh(x))ch(x) + ch(sh(x))ch(x)ch^{2}(x)ch(sh(sh(sh(x))))ch(sh(sh(x))) + sh(sh(x))*2ch(x)sh(x)ch(sh(sh(sh(x))))ch(sh(sh(x))) + sh(sh(x))ch^{2}(x)sh(sh(sh(sh(x))))ch(sh(sh(x)))ch(sh(x))ch(x)ch(sh(sh(x))) + sh(sh(x))ch^{2}(x)ch(sh(sh(sh(x))))sh(sh(sh(x)))ch(sh(x))ch(x)\\=&ch(sh(sh(sh(x))))ch^{3}(sh(sh(x)))ch^{3}(x)ch^{3}(sh(x)) + 2sh(sh(x))sh(sh(sh(sh(x))))ch^{3}(x)ch(sh(x))ch^{2}(sh(sh(x))) + 2sh(x)sh(sh(sh(sh(x))))ch^{2}(sh(x))ch(x)ch^{2}(sh(sh(x))) + 2sh(sh(sh(x)))sh(sh(sh(sh(x))))ch^{3}(sh(x))ch^{3}(x)ch(sh(sh(x))) + ch^{3}(sh(x))ch^{3}(x)ch(sh(sh(x)))ch(sh(sh(sh(x)))) + 2sh(sh(x))sh(sh(sh(x)))ch^{3}(x)ch(sh(x))ch(sh(sh(sh(x)))) + 2sh(x)sh(sh(sh(x)))ch^{2}(sh(x))ch(x)ch(sh(sh(sh(x)))) + sh(sh(sh(sh(x))))sh(sh(sh(x)))ch^{3}(sh(x))ch(sh(sh(x)))ch^{3}(x) + ch(x)ch(sh(sh(x)))ch(sh(sh(sh(x))))ch(sh(x)) + sh(sh(sh(x)))sh(x)ch(x)ch^{2}(sh(x))ch(sh(sh(sh(x)))) + sh(sh(sh(sh(x))))sh(x)ch^{2}(sh(sh(x)))ch(x)ch^{2}(sh(x)) + sh(sh(x))sh(x)ch(sh(sh(sh(x))))ch(x)ch(sh(sh(x))) + ch^{3}(x)ch(sh(x))ch(sh(sh(sh(x))))ch(sh(sh(x))) + 2sh(x)sh(sh(x))ch(x)ch(sh(sh(sh(x))))ch(sh(sh(x))) + sh(sh(sh(sh(x))))sh(sh(x))ch^{3}(x)ch^{2}(sh(sh(x)))ch(sh(x)) + sh(sh(sh(x)))sh(sh(x))ch^{3}(x)ch(sh(sh(sh(x))))ch(sh(x))\\\\ &\color{blue}{函数的第 4 阶导数：} \\&\frac{d\left( ch(sh(sh(sh(x))))ch^{3}(sh(sh(x)))ch^{3}(x)ch^{3}(sh(x)) + 2sh(sh(x))sh(sh(sh(sh(x))))ch^{3}(x)ch(sh(x))ch^{2}(sh(sh(x))) + 2sh(x)sh(sh(sh(sh(x))))ch^{2}(sh(x))ch(x)ch^{2}(sh(sh(x))) + 2sh(sh(sh(x)))sh(sh(sh(sh(x))))ch^{3}(sh(x))ch^{3}(x)ch(sh(sh(x))) + ch^{3}(sh(x))ch^{3}(x)ch(sh(sh(x)))ch(sh(sh(sh(x)))) + 2sh(sh(x))sh(sh(sh(x)))ch^{3}(x)ch(sh(x))ch(sh(sh(sh(x)))) + 2sh(x)sh(sh(sh(x)))ch^{2}(sh(x))ch(x)ch(sh(sh(sh(x)))) + sh(sh(sh(sh(x))))sh(sh(sh(x)))ch^{3}(sh(x))ch(sh(sh(x)))ch^{3}(x) + ch(x)ch(sh(sh(x)))ch(sh(sh(sh(x))))ch(sh(x)) + sh(sh(sh(x)))sh(x)ch(x)ch^{2}(sh(x))ch(sh(sh(sh(x)))) + sh(sh(sh(sh(x))))sh(x)ch^{2}(sh(sh(x)))ch(x)ch^{2}(sh(x)) + sh(sh(x))sh(x)ch(sh(sh(sh(x))))ch(x)ch(sh(sh(x))) + ch^{3}(x)ch(sh(x))ch(sh(sh(sh(x))))ch(sh(sh(x))) + 2sh(x)sh(sh(x))ch(x)ch(sh(sh(sh(x))))ch(sh(sh(x))) + sh(sh(sh(sh(x))))sh(sh(x))ch^{3}(x)ch^{2}(sh(sh(x)))ch(sh(x)) + sh(sh(sh(x)))sh(sh(x))ch^{3}(x)ch(sh(sh(sh(x))))ch(sh(x))\right)}{dx}\\=&sh(sh(sh(sh(x))))ch(sh(sh(x)))ch(sh(x))ch(x)ch^{3}(sh(sh(x)))ch^{3}(x)ch^{3}(sh(x)) + ch(sh(sh(sh(x))))*3ch^{2}(sh(sh(x)))sh(sh(sh(x)))ch(sh(x))ch(x)ch^{3}(x)ch^{3}(sh(x)) + ch(sh(sh(sh(x))))ch^{3}(sh(sh(x)))*3ch^{2}(x)sh(x)ch^{3}(sh(x)) + ch(sh(sh(sh(x))))ch^{3}(sh(sh(x)))ch^{3}(x)*3ch^{2}(sh(x))sh(sh(x))ch(x) + 2ch(sh(x))ch(x)sh(sh(sh(sh(x))))ch^{3}(x)ch(sh(x))ch^{2}(sh(sh(x))) + 2sh(sh(x))ch(sh(sh(sh(x))))ch(sh(sh(x)))ch(sh(x))ch(x)ch^{3}(x)ch(sh(x))ch^{2}(sh(sh(x))) + 2sh(sh(x))sh(sh(sh(sh(x))))*3ch^{2}(x)sh(x)ch(sh(x))ch^{2}(sh(sh(x))) + 2sh(sh(x))sh(sh(sh(sh(x))))ch^{3}(x)sh(sh(x))ch(x)ch^{2}(sh(sh(x))) + 2sh(sh(x))sh(sh(sh(sh(x))))ch^{3}(x)ch(sh(x))*2ch(sh(sh(x)))sh(sh(sh(x)))ch(sh(x))ch(x) + 2ch(x)sh(sh(sh(sh(x))))ch^{2}(sh(x))ch(x)ch^{2}(sh(sh(x))) + 2sh(x)ch(sh(sh(sh(x))))ch(sh(sh(x)))ch(sh(x))ch(x)ch^{2}(sh(x))ch(x)ch^{2}(sh(sh(x))) + 2sh(x)sh(sh(sh(sh(x))))*2ch(sh(x))sh(sh(x))ch(x)ch(x)ch^{2}(sh(sh(x))) + 2sh(x)sh(sh(sh(sh(x))))ch^{2}(sh(x))sh(x)ch^{2}(sh(sh(x))) + 2sh(x)sh(sh(sh(sh(x))))ch^{2}(sh(x))ch(x)*2ch(sh(sh(x)))sh(sh(sh(x)))ch(sh(x))ch(x) + 2ch(sh(sh(x)))ch(sh(x))ch(x)sh(sh(sh(sh(x))))ch^{3}(sh(x))ch^{3}(x)ch(sh(sh(x))) + 2sh(sh(sh(x)))ch(sh(sh(sh(x))))ch(sh(sh(x)))ch(sh(x))ch(x)ch^{3}(sh(x))ch^{3}(x)ch(sh(sh(x))) + 2sh(sh(sh(x)))sh(sh(sh(sh(x))))*3ch^{2}(sh(x))sh(sh(x))ch(x)ch^{3}(x)ch(sh(sh(x))) + 2sh(sh(sh(x)))sh(sh(sh(sh(x))))ch^{3}(sh(x))*3ch^{2}(x)sh(x)ch(sh(sh(x))) + 2sh(sh(sh(x)))sh(sh(sh(sh(x))))ch^{3}(sh(x))ch^{3}(x)sh(sh(sh(x)))ch(sh(x))ch(x) + 3ch^{2}(sh(x))sh(sh(x))ch(x)ch^{3}(x)ch(sh(sh(x)))ch(sh(sh(sh(x)))) + ch^{3}(sh(x))*3ch^{2}(x)sh(x)ch(sh(sh(x)))ch(sh(sh(sh(x)))) + ch^{3}(sh(x))ch^{3}(x)sh(sh(sh(x)))ch(sh(x))ch(x)ch(sh(sh(sh(x)))) + ch^{3}(sh(x))ch^{3}(x)ch(sh(sh(x)))sh(sh(sh(sh(x))))ch(sh(sh(x)))ch(sh(x))ch(x) + 2ch(sh(x))ch(x)sh(sh(sh(x)))ch^{3}(x)ch(sh(x))ch(sh(sh(sh(x)))) + 2sh(sh(x))ch(sh(sh(x)))ch(sh(x))ch(x)ch^{3}(x)ch(sh(x))ch(sh(sh(sh(x)))) + 2sh(sh(x))sh(sh(sh(x)))*3ch^{2}(x)sh(x)ch(sh(x))ch(sh(sh(sh(x)))) + 2sh(sh(x))sh(sh(sh(x)))ch^{3}(x)sh(sh(x))ch(x)ch(sh(sh(sh(x)))) + 2sh(sh(x))sh(sh(sh(x)))ch^{3}(x)ch(sh(x))sh(sh(sh(sh(x))))ch(sh(sh(x)))ch(sh(x))ch(x) + 2ch(x)sh(sh(sh(x)))ch^{2}(sh(x))ch(x)ch(sh(sh(sh(x)))) + 2sh(x)ch(sh(sh(x)))ch(sh(x))ch(x)ch^{2}(sh(x))ch(x)ch(sh(sh(sh(x)))) + 2sh(x)sh(sh(sh(x)))*2ch(sh(x))sh(sh(x))ch(x)ch(x)ch(sh(sh(sh(x)))) + 2sh(x)sh(sh(sh(x)))ch^{2}(sh(x))sh(x)ch(sh(sh(sh(x)))) + 2sh(x)sh(sh(sh(x)))ch^{2}(sh(x))ch(x)sh(sh(sh(sh(x))))ch(sh(sh(x)))ch(sh(x))ch(x) + ch(sh(sh(sh(x))))ch(sh(sh(x)))ch(sh(x))ch(x)sh(sh(sh(x)))ch^{3}(sh(x))ch(sh(sh(x)))ch^{3}(x) + sh(sh(sh(sh(x))))ch(sh(sh(x)))ch(sh(x))ch(x)ch^{3}(sh(x))ch(sh(sh(x)))ch^{3}(x) + sh(sh(sh(sh(x))))sh(sh(sh(x)))*3ch^{2}(sh(x))sh(sh(x))ch(x)ch(sh(sh(x)))ch^{3}(x) + sh(sh(sh(sh(x))))sh(sh(sh(x)))ch^{3}(sh(x))sh(sh(sh(x)))ch(sh(x))ch(x)ch^{3}(x) + sh(sh(sh(sh(x))))sh(sh(sh(x)))ch^{3}(sh(x))ch(sh(sh(x)))*3ch^{2}(x)sh(x) + sh(x)ch(sh(sh(x)))ch(sh(sh(sh(x))))ch(sh(x)) + ch(x)sh(sh(sh(x)))ch(sh(x))ch(x)ch(sh(sh(sh(x))))ch(sh(x)) + ch(x)ch(sh(sh(x)))sh(sh(sh(sh(x))))ch(sh(sh(x)))ch(sh(x))ch(x)ch(sh(x)) + ch(x)ch(sh(sh(x)))ch(sh(sh(sh(x))))sh(sh(x))ch(x) + ch(sh(sh(x)))ch(sh(x))ch(x)sh(x)ch(x)ch^{2}(sh(x))ch(sh(sh(sh(x)))) + sh(sh(sh(x)))ch(x)ch(x)ch^{2}(sh(x))ch(sh(sh(sh(x)))) + sh(sh(sh(x)))sh(x)sh(x)ch^{2}(sh(x))ch(sh(sh(sh(x)))) + sh(sh(sh(x)))sh(x)ch(x)*2ch(sh(x))sh(sh(x))ch(x)ch(sh(sh(sh(x)))) + sh(sh(sh(x)))sh(x)ch(x)ch^{2}(sh(x))sh(sh(sh(sh(x))))ch(sh(sh(x)))ch(sh(x))ch(x) + ch(sh(sh(sh(x))))ch(sh(sh(x)))ch(sh(x))ch(x)sh(x)ch^{2}(sh(sh(x)))ch(x)ch^{2}(sh(x)) + sh(sh(sh(sh(x))))ch(x)ch^{2}(sh(sh(x)))ch(x)ch^{2}(sh(x)) + sh(sh(sh(sh(x))))sh(x)*2ch(sh(sh(x)))sh(sh(sh(x)))ch(sh(x))ch(x)ch(x)ch^{2}(sh(x)) + sh(sh(sh(sh(x))))sh(x)ch^{2}(sh(sh(x)))sh(x)ch^{2}(sh(x)) + sh(sh(sh(sh(x))))sh(x)ch^{2}(sh(sh(x)))ch(x)*2ch(sh(x))sh(sh(x))ch(x) + ch(sh(x))ch(x)sh(x)ch(sh(sh(sh(x))))ch(x)ch(sh(sh(x))) + sh(sh(x))ch(x)ch(sh(sh(sh(x))))ch(x)ch(sh(sh(x))) + sh(sh(x))sh(x)sh(sh(sh(sh(x))))ch(sh(sh(x)))ch(sh(x))ch(x)ch(x)ch(sh(sh(x))) + sh(sh(x))sh(x)ch(sh(sh(sh(x))))sh(x)ch(sh(sh(x))) + sh(sh(x))sh(x)ch(sh(sh(sh(x))))ch(x)sh(sh(sh(x)))ch(sh(x))ch(x) + 3ch^{2}(x)sh(x)ch(sh(x))ch(sh(sh(sh(x))))ch(sh(sh(x))) + ch^{3}(x)sh(sh(x))ch(x)ch(sh(sh(sh(x))))ch(sh(sh(x))) + ch^{3}(x)ch(sh(x))sh(sh(sh(sh(x))))ch(sh(sh(x)))ch(sh(x))ch(x)ch(sh(sh(x))) + ch^{3}(x)ch(sh(x))ch(sh(sh(sh(x))))sh(sh(sh(x)))ch(sh(x))ch(x) + 2ch(x)sh(sh(x))ch(x)ch(sh(sh(sh(x))))ch(sh(sh(x))) + 2sh(x)ch(sh(x))ch(x)ch(x)ch(sh(sh(sh(x))))ch(sh(sh(x))) + 2sh(x)sh(sh(x))sh(x)ch(sh(sh(sh(x))))ch(sh(sh(x))) + 2sh(x)sh(sh(x))ch(x)sh(sh(sh(sh(x))))ch(sh(sh(x)))ch(sh(x))ch(x)ch(sh(sh(x))) + 2sh(x)sh(sh(x))ch(x)ch(sh(sh(sh(x))))sh(sh(sh(x)))ch(sh(x))ch(x) + ch(sh(sh(sh(x))))ch(sh(sh(x)))ch(sh(x))ch(x)sh(sh(x))ch^{3}(x)ch^{2}(sh(sh(x)))ch(sh(x)) + sh(sh(sh(sh(x))))ch(sh(x))ch(x)ch^{3}(x)ch^{2}(sh(sh(x)))ch(sh(x)) + sh(sh(sh(sh(x))))sh(sh(x))*3ch^{2}(x)sh(x)ch^{2}(sh(sh(x)))ch(sh(x)) + sh(sh(sh(sh(x))))sh(sh(x))ch^{3}(x)*2ch(sh(sh(x)))sh(sh(sh(x)))ch(sh(x))ch(x)ch(sh(x)) + sh(sh(sh(sh(x))))sh(sh(x))ch^{3}(x)ch^{2}(sh(sh(x)))sh(sh(x))ch(x) + ch(sh(sh(x)))ch(sh(x))ch(x)sh(sh(x))ch^{3}(x)ch(sh(sh(sh(x))))ch(sh(x)) + sh(sh(sh(x)))ch(sh(x))ch(x)ch^{3}(x)ch(sh(sh(sh(x))))ch(sh(x)) + sh(sh(sh(x)))sh(sh(x))*3ch^{2}(x)sh(x)ch(sh(sh(sh(x))))ch(sh(x)) + sh(sh(sh(x)))sh(sh(x))ch^{3}(x)sh(sh(sh(sh(x))))ch(sh(sh(x)))ch(sh(x))ch(x)ch(sh(x)) + sh(sh(sh(x)))sh(sh(x))ch^{3}(x)ch(sh(sh(sh(x))))sh(sh(x))ch(x)\\=&2sh(sh(x))ch(sh(sh(sh(x))))ch^{3}(sh(sh(x)))ch^{4}(x)ch^{2}(sh(x)) + 3sh(sh(sh(x)))ch^{2}(sh(sh(x)))ch(sh(sh(sh(x))))ch^{4}(x)ch^{4}(sh(x)) + 3sh(x)ch^{2}(x)ch^{3}(sh(sh(x)))ch(sh(sh(sh(x))))ch^{3}(sh(x)) + 3sh(sh(x))ch^{3}(sh(sh(x)))ch^{4}(x)ch(sh(sh(sh(x))))ch^{2}(sh(x)) + 2sh(x)ch(sh(sh(sh(x))))ch^{3}(sh(sh(x)))ch^{2}(x)ch^{3}(sh(x)) + 2sh(sh(sh(x)))ch(sh(sh(sh(x))))ch^{2}(sh(sh(x)))ch^{4}(x)ch^{4}(sh(x)) + 6sh(sh(x))sh(x)sh(sh(sh(sh(x))))ch^{2}(x)ch(sh(x))ch^{2}(sh(sh(x))) + 4sh(sh(sh(sh(x))))sh(x)sh(sh(x))ch^{2}(x)ch(sh(x))ch^{2}(sh(sh(x))) + 4sh(sh(sh(x)))sh(sh(sh(sh(x))))sh(sh(x))ch^{2}(sh(x))ch^{4}(x)ch(sh(sh(x))) + sh(sh(sh(x)))ch^{2}(sh(sh(x)))ch^{4}(x)ch^{4}(sh(x))ch(sh(sh(sh(x)))) + 3sh(sh(x))ch^{4}(x)ch^{2}(sh(x))ch(sh(sh(x)))ch(sh(sh(sh(x)))) + 6sh(sh(sh(sh(x))))sh(sh(sh(x)))sh(sh(x))ch^{4}(x)ch^{2}(sh(x))ch(sh(sh(x))) + 8sh(sh(sh(x)))sh(x)sh(sh(sh(sh(x))))ch^{3}(sh(x))ch^{2}(x)ch(sh(sh(x))) + 4sh(sh(sh(x)))sh(sh(sh(sh(x))))sh(x)ch^{3}(sh(x))ch^{2}(x)ch(sh(sh(x))) + 5sh(x)ch^{3}(sh(x))ch^{2}(x)ch(sh(sh(x)))ch(sh(sh(sh(x)))) + 2sh(sh(x))ch^{2}(sh(x))ch^{4}(x)ch(sh(sh(x)))ch(sh(sh(sh(x)))) + 4sh(sh(sh(x)))sh(x)sh(sh(x))ch^{2}(x)ch(sh(x))ch(sh(sh(sh(x)))) + 6sh(sh(x))sh(x)sh(sh(sh(x)))ch^{2}(x)ch(sh(x))ch(sh(sh(sh(x)))) + sh(x)ch^{3}(sh(sh(x)))ch^{2}(x)ch^{3}(sh(x))ch(sh(sh(sh(x)))) + sh(sh(x))ch^{3}(sh(sh(x)))ch^{4}(x)ch^{2}(sh(x))ch(sh(sh(sh(x)))) + sh(x)ch^{2}(x)ch(sh(sh(x)))ch^{3}(sh(x))ch(sh(sh(sh(x)))) + sh(sh(x))ch^{4}(x)ch(sh(sh(x)))ch^{2}(sh(x))ch(sh(sh(sh(x)))) + sh(x)ch(sh(x))ch^{2}(x)ch(sh(sh(sh(x))))ch(sh(sh(x))) + 3sh(sh(sh(sh(x))))sh(x)sh(sh(sh(x)))ch^{2}(x)ch(sh(sh(x)))ch^{3}(sh(x)) + 3sh(sh(sh(x)))sh(sh(sh(sh(x))))sh(sh(x))ch^{4}(x)ch^{2}(sh(x))ch(sh(sh(x))) + 2sh(sh(x))sh(sh(sh(sh(x))))sh(sh(sh(x)))ch^{2}(sh(x))ch(sh(sh(x)))ch^{4}(x) + 5sh(x)ch^{2}(x)ch(sh(x))ch(sh(sh(sh(x))))ch(sh(sh(x))) + sh(sh(sh(sh(x))))ch^{4}(sh(x))ch^{4}(x)ch^{2}(sh(sh(x))) + 2sh(x)sh(sh(sh(x)))sh(sh(x))ch^{2}(x)ch(sh(x))ch(sh(sh(sh(x)))) + 3sh(sh(sh(sh(x))))sh(x)sh(sh(x))ch^{2}(x)ch^{2}(sh(sh(x)))ch(sh(x)) + 2sh(x)sh(sh(sh(sh(x))))sh(sh(sh(x)))ch^{3}(sh(x))ch(sh(sh(x)))ch^{2}(x) + 2sh(sh(sh(sh(x))))ch^{4}(x)ch^{2}(sh(sh(x)))ch^{4}(sh(x)) + 2sh(sh(sh(sh(x))))ch^{2}(x)ch^{2}(sh(x))ch^{2}(sh(sh(x))) + 2sh(x)sh(sh(sh(sh(x))))sh(sh(x))ch^{2}(sh(sh(x)))ch(sh(x))ch^{2}(x) + 2sh(sh(sh(x)))sh(sh(x))sh(sh(sh(sh(x))))ch(sh(sh(x)))ch^{4}(x)ch^{2}(sh(x)) + 3sh(sh(sh(x)))sh(x)sh(sh(x))ch^{2}(x)ch(sh(sh(sh(x))))ch(sh(x)) + 2sh(sh(sh(sh(x))))ch^{2}(sh(x))ch^{4}(x)ch^{2}(sh(sh(x))) + sh(sh(sh(sh(x))))ch^{2}(sh(x))ch^{2}(sh(sh(x)))ch^{2}(x) + 2sh(sh(sh(x)))ch^{2}(sh(x))ch^{4}(x)ch(sh(sh(sh(x)))) + sh(sh(sh(x)))ch^{4}(sh(x))ch^{4}(x)ch(sh(sh(sh(x)))) + sh(sh(sh(sh(x))))ch^{2}(x)ch^{2}(sh(sh(x)))ch^{2}(sh(x)) + sh(sh(sh(x)))sh^{2}(x)ch^{2}(sh(x))ch(sh(sh(sh(x)))) + 2sh(sh(sh(sh(x))))sh^{2}(sh(x))ch^{4}(x)ch^{2}(sh(sh(x))) + sh(sh(sh(x)))sh(sh(sh(sh(x))))sh(x)ch^{3}(sh(x))ch(sh(sh(x)))ch^{2}(x) + sh(sh(sh(sh(x))))ch^{2}(sh(sh(x)))ch^{4}(sh(x))ch^{4}(x) + 3sh(sh(x))ch^{2}(x)ch(sh(sh(sh(x))))ch(sh(sh(x))) + 3sh^{2}(sh(sh(x)))sh(sh(sh(sh(x))))ch^{4}(sh(x))ch^{4}(x) + sh(sh(sh(sh(x))))sh^{2}(x)ch^{2}(sh(sh(x)))ch^{2}(sh(x)) + 2sh(sh(sh(x)))sh^{2}(sh(x))ch^{4}(x)ch(sh(sh(sh(x)))) + 3sh(sh(sh(x)))ch^{2}(x)ch^{2}(sh(x))ch(sh(sh(sh(x)))) + sh(sh(x))sh(sh(sh(sh(x))))sh(x)ch(sh(x))ch^{2}(x)ch^{2}(sh(sh(x))) + sh(sh(x))sh^{2}(x)ch(sh(sh(sh(x))))ch(sh(sh(x))) + sh(sh(sh(x)))sh(x)sh(sh(x))ch(sh(sh(sh(x))))ch^{2}(x)ch(sh(x)) + sh(sh(sh(sh(x))))ch^{4}(x)ch^{2}(sh(x))ch^{2}(sh(sh(x))) + sh(sh(sh(sh(x))))ch^{2}(sh(x))ch^{2}(sh(sh(x)))ch^{4}(x) + sh(sh(sh(x)))ch^{2}(sh(x))ch(sh(sh(sh(x))))ch^{4}(x) + sh(x)ch(sh(sh(x)))ch(sh(sh(sh(x))))ch(sh(x)) + sh(sh(sh(x)))ch^{4}(x)ch^{2}(sh(x))ch(sh(sh(sh(x)))) + 2sh^{2}(x)sh(sh(x))ch(sh(sh(sh(x))))ch(sh(sh(x))) + 2sh(x)sh(sh(sh(sh(x))))sh(sh(x))ch^{2}(x)ch^{2}(sh(sh(x)))ch(sh(x)) + 2sh(sh(sh(x)))sh(sh(x))sh(x)ch^{2}(x)ch(sh(sh(sh(x))))ch(sh(x)) + sh(sh(sh(sh(x))))ch^{4}(sh(x))ch^{4}(x)ch^{4}(sh(sh(x))) + sh(sh(x))ch^{4}(x)ch(sh(sh(sh(x))))ch(sh(sh(x))) + 2sh^{2}(x)sh(sh(sh(x)))ch^{2}(sh(x))ch(sh(sh(sh(x)))) + sh^{2}(sh(x))sh(sh(sh(sh(x))))ch^{2}(sh(sh(x)))ch^{4}(x) + sh(sh(sh(x)))ch^{2}(sh(x))ch^{2}(x)ch(sh(sh(sh(x)))) + sh(sh(x))ch(sh(sh(sh(x))))ch^{2}(x)ch(sh(sh(x))) + 2sh^{2}(x)sh(sh(sh(sh(x))))ch^{2}(sh(x))ch^{2}(sh(sh(x))) + sh(sh(sh(x)))sh(sh(sh(sh(x))))sh(sh(x))ch^{4}(x)ch(sh(sh(x)))ch^{2}(sh(x)) + sh^{2}(sh(x))sh(sh(sh(x)))ch(sh(sh(sh(x))))ch^{4}(x)\\ \end{split}\end{equation} \]
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