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。
\[ \begin{equation}\begin{split}【1/1】求函数\frac{(sin(x) - sh(x))(sin(x) - sh(x))}{(cos(x) + ch(x))} 关于 x 的 4 阶导数：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = - \frac{2sin(x)sh(x)}{(cos(x) + ch(x))} + \frac{sin^{2}(x)}{(cos(x) + ch(x))} + \frac{sh^{2}(x)}{(cos(x) + ch(x))}\\&\color{blue}{函数的第 1 阶导数：}\\&\frac{d\left( - \frac{2sin(x)sh(x)}{(cos(x) + ch(x))} + \frac{sin^{2}(x)}{(cos(x) + ch(x))} + \frac{sh^{2}(x)}{(cos(x) + ch(x))}\right)}{dx}\\=& - 2(\frac{-(-sin(x) + sh(x))}{(cos(x) + ch(x))^{2}})sin(x)sh(x) - \frac{2cos(x)sh(x)}{(cos(x) + ch(x))} - \frac{2sin(x)ch(x)}{(cos(x) + ch(x))} + (\frac{-(-sin(x) + sh(x))}{(cos(x) + ch(x))^{2}})sin^{2}(x) + \frac{2sin(x)cos(x)}{(cos(x) + ch(x))} + (\frac{-(-sin(x) + sh(x))}{(cos(x) + ch(x))^{2}})sh^{2}(x) + \frac{2sh(x)ch(x)}{(cos(x) + ch(x))}\\=&\frac{-3sin^{2}(x)sh(x)}{(cos(x) + ch(x))^{2}} + \frac{3sin(x)sh^{2}(x)}{(cos(x) + ch(x))^{2}} - \frac{2cos(x)sh(x)}{(cos(x) + ch(x))} - \frac{2sin(x)ch(x)}{(cos(x) + ch(x))} + \frac{2sin(x)cos(x)}{(cos(x) + ch(x))} + \frac{sin^{3}(x)}{(cos(x) + ch(x))^{2}} + \frac{2sh(x)ch(x)}{(cos(x) + ch(x))} - \frac{sh^{3}(x)}{(cos(x) + ch(x))^{2}}\\\\ &\color{blue}{函数的第 2 阶导数：} \\&\frac{d\left( \frac{-3sin^{2}(x)sh(x)}{(cos(x) + ch(x))^{2}} + \frac{3sin(x)sh^{2}(x)}{(cos(x) + ch(x))^{2}} - \frac{2cos(x)sh(x)}{(cos(x) + ch(x))} - \frac{2sin(x)ch(x)}{(cos(x) + ch(x))} + \frac{2sin(x)cos(x)}{(cos(x) + ch(x))} + \frac{sin^{3}(x)}{(cos(x) + ch(x))^{2}} + \frac{2sh(x)ch(x)}{(cos(x) + ch(x))} - \frac{sh^{3}(x)}{(cos(x) + ch(x))^{2}}\right)}{dx}\\=&-3(\frac{-2(-sin(x) + sh(x))}{(cos(x) + ch(x))^{3}})sin^{2}(x)sh(x) - \frac{3*2sin(x)cos(x)sh(x)}{(cos(x) + ch(x))^{2}} - \frac{3sin^{2}(x)ch(x)}{(cos(x) + ch(x))^{2}} + 3(\frac{-2(-sin(x) + sh(x))}{(cos(x) + ch(x))^{3}})sin(x)sh^{2}(x) + \frac{3cos(x)sh^{2}(x)}{(cos(x) + ch(x))^{2}} + \frac{3sin(x)*2sh(x)ch(x)}{(cos(x) + ch(x))^{2}} - 2(\frac{-(-sin(x) + sh(x))}{(cos(x) + ch(x))^{2}})cos(x)sh(x) - \frac{2*-sin(x)sh(x)}{(cos(x) + ch(x))} - \frac{2cos(x)ch(x)}{(cos(x) + ch(x))} - 2(\frac{-(-sin(x) + sh(x))}{(cos(x) + ch(x))^{2}})sin(x)ch(x) - \frac{2cos(x)ch(x)}{(cos(x) + ch(x))} - \frac{2sin(x)sh(x)}{(cos(x) + ch(x))} + 2(\frac{-(-sin(x) + sh(x))}{(cos(x) + ch(x))^{2}})sin(x)cos(x) + \frac{2cos(x)cos(x)}{(cos(x) + ch(x))} + \frac{2sin(x)*-sin(x)}{(cos(x) + ch(x))} + (\frac{-2(-sin(x) + sh(x))}{(cos(x) + ch(x))^{3}})sin^{3}(x) + \frac{3sin^{2}(x)cos(x)}{(cos(x) + ch(x))^{2}} + 2(\frac{-(-sin(x) + sh(x))}{(cos(x) + ch(x))^{2}})sh(x)ch(x) + \frac{2ch(x)ch(x)}{(cos(x) + ch(x))} + \frac{2sh(x)sh(x)}{(cos(x) + ch(x))} - (\frac{-2(-sin(x) + sh(x))}{(cos(x) + ch(x))^{3}})sh^{3}(x) - \frac{3sh^{2}(x)ch(x)}{(cos(x) + ch(x))^{2}}\\=&\frac{10sin(x)sh(x)ch(x)}{(cos(x) + ch(x))^{2}} + \frac{12sin^{2}(x)sh^{2}(x)}{(cos(x) + ch(x))^{3}} - \frac{10sin(x)cos(x)sh(x)}{(cos(x) + ch(x))^{2}} - \frac{5sin^{2}(x)ch(x)}{(cos(x) + ch(x))^{2}} - \frac{8sin(x)sh^{3}(x)}{(cos(x) + ch(x))^{3}} + \frac{5cos(x)sh^{2}(x)}{(cos(x) + ch(x))^{2}} - \frac{8sin^{3}(x)sh(x)}{(cos(x) + ch(x))^{3}} - \frac{4cos(x)ch(x)}{(cos(x) + ch(x))} + \frac{5sin^{2}(x)cos(x)}{(cos(x) + ch(x))^{2}} + \frac{2cos^{2}(x)}{(cos(x) + ch(x))} - \frac{2sin^{2}(x)}{(cos(x) + ch(x))} + \frac{2sin^{4}(x)}{(cos(x) + ch(x))^{3}} - \frac{5sh^{2}(x)ch(x)}{(cos(x) + ch(x))^{2}} + \frac{2ch^{2}(x)}{(cos(x) + ch(x))} + \frac{2sh^{2}(x)}{(cos(x) + ch(x))} + \frac{2sh^{4}(x)}{(cos(x) + ch(x))^{3}}\\\\ &\color{blue}{函数的第 3 阶导数：} \\&\frac{d\left( \frac{10sin(x)sh(x)ch(x)}{(cos(x) + ch(x))^{2}} + \frac{12sin^{2}(x)sh^{2}(x)}{(cos(x) + ch(x))^{3}} - \frac{10sin(x)cos(x)sh(x)}{(cos(x) + ch(x))^{2}} - \frac{5sin^{2}(x)ch(x)}{(cos(x) + ch(x))^{2}} - \frac{8sin(x)sh^{3}(x)}{(cos(x) + ch(x))^{3}} + \frac{5cos(x)sh^{2}(x)}{(cos(x) + ch(x))^{2}} - \frac{8sin^{3}(x)sh(x)}{(cos(x) + ch(x))^{3}} - \frac{4cos(x)ch(x)}{(cos(x) + ch(x))} + \frac{5sin^{2}(x)cos(x)}{(cos(x) + ch(x))^{2}} + \frac{2cos^{2}(x)}{(cos(x) + ch(x))} - \frac{2sin^{2}(x)}{(cos(x) + ch(x))} + \frac{2sin^{4}(x)}{(cos(x) + ch(x))^{3}} - \frac{5sh^{2}(x)ch(x)}{(cos(x) + ch(x))^{2}} + \frac{2ch^{2}(x)}{(cos(x) + ch(x))} + \frac{2sh^{2}(x)}{(cos(x) + ch(x))} + \frac{2sh^{4}(x)}{(cos(x) + ch(x))^{3}}\right)}{dx}\\=&10(\frac{-2(-sin(x) + sh(x))}{(cos(x) + ch(x))^{3}})sin(x)sh(x)ch(x) + \frac{10cos(x)sh(x)ch(x)}{(cos(x) + ch(x))^{2}} + \frac{10sin(x)ch(x)ch(x)}{(cos(x) + ch(x))^{2}} + \frac{10sin(x)sh(x)sh(x)}{(cos(x) + ch(x))^{2}} + 12(\frac{-3(-sin(x) + sh(x))}{(cos(x) + ch(x))^{4}})sin^{2}(x)sh^{2}(x) + \frac{12*2sin(x)cos(x)sh^{2}(x)}{(cos(x) + ch(x))^{3}} + \frac{12sin^{2}(x)*2sh(x)ch(x)}{(cos(x) + ch(x))^{3}} - 10(\frac{-2(-sin(x) + sh(x))}{(cos(x) + ch(x))^{3}})sin(x)cos(x)sh(x) - \frac{10cos(x)cos(x)sh(x)}{(cos(x) + ch(x))^{2}} - \frac{10sin(x)*-sin(x)sh(x)}{(cos(x) + ch(x))^{2}} - \frac{10sin(x)cos(x)ch(x)}{(cos(x) + ch(x))^{2}} - 5(\frac{-2(-sin(x) + sh(x))}{(cos(x) + ch(x))^{3}})sin^{2}(x)ch(x) - \frac{5*2sin(x)cos(x)ch(x)}{(cos(x) + ch(x))^{2}} - \frac{5sin^{2}(x)sh(x)}{(cos(x) + ch(x))^{2}} - 8(\frac{-3(-sin(x) + sh(x))}{(cos(x) + ch(x))^{4}})sin(x)sh^{3}(x) - \frac{8cos(x)sh^{3}(x)}{(cos(x) + ch(x))^{3}} - \frac{8sin(x)*3sh^{2}(x)ch(x)}{(cos(x) + ch(x))^{3}} + 5(\frac{-2(-sin(x) + sh(x))}{(cos(x) + ch(x))^{3}})cos(x)sh^{2}(x) + \frac{5*-sin(x)sh^{2}(x)}{(cos(x) + ch(x))^{2}} + \frac{5cos(x)*2sh(x)ch(x)}{(cos(x) + ch(x))^{2}} - 8(\frac{-3(-sin(x) + sh(x))}{(cos(x) + ch(x))^{4}})sin^{3}(x)sh(x) - \frac{8*3sin^{2}(x)cos(x)sh(x)}{(cos(x) + ch(x))^{3}} - \frac{8sin^{3}(x)ch(x)}{(cos(x) + ch(x))^{3}} - 4(\frac{-(-sin(x) + sh(x))}{(cos(x) + ch(x))^{2}})cos(x)ch(x) - \frac{4*-sin(x)ch(x)}{(cos(x) + ch(x))} - \frac{4cos(x)sh(x)}{(cos(x) + ch(x))} + 5(\frac{-2(-sin(x) + sh(x))}{(cos(x) + ch(x))^{3}})sin^{2}(x)cos(x) + \frac{5*2sin(x)cos(x)cos(x)}{(cos(x) + ch(x))^{2}} + \frac{5sin^{2}(x)*-sin(x)}{(cos(x) + ch(x))^{2}} + 2(\frac{-(-sin(x) + sh(x))}{(cos(x) + ch(x))^{2}})cos^{2}(x) + \frac{2*-2cos(x)sin(x)}{(cos(x) + ch(x))} - 2(\frac{-(-sin(x) + sh(x))}{(cos(x) + ch(x))^{2}})sin^{2}(x) - \frac{2*2sin(x)cos(x)}{(cos(x) + ch(x))} + 2(\frac{-3(-sin(x) + sh(x))}{(cos(x) + ch(x))^{4}})sin^{4}(x) + \frac{2*4sin^{3}(x)cos(x)}{(cos(x) + ch(x))^{3}} - 5(\frac{-2(-sin(x) + sh(x))}{(cos(x) + ch(x))^{3}})sh^{2}(x)ch(x) - \frac{5*2sh(x)ch(x)ch(x)}{(cos(x) + ch(x))^{2}} - \frac{5sh^{2}(x)sh(x)}{(cos(x) + ch(x))^{2}} + 2(\frac{-(-sin(x) + sh(x))}{(cos(x) + ch(x))^{2}})ch^{2}(x) + \frac{2*2ch(x)sh(x)}{(cos(x) + ch(x))} + 2(\frac{-(-sin(x) + sh(x))}{(cos(x) + ch(x))^{2}})sh^{2}(x) + \frac{2*2sh(x)ch(x)}{(cos(x) + ch(x))} + 2(\frac{-3(-sin(x) + sh(x))}{(cos(x) + ch(x))^{4}})sh^{4}(x) + \frac{2*4sh^{3}(x)ch(x)}{(cos(x) + ch(x))^{3}}\\=&\frac{54sin^{2}(x)sh(x)ch(x)}{(cos(x) + ch(x))^{3}} - \frac{54sin(x)sh^{2}(x)ch(x)}{(cos(x) + ch(x))^{3}} + \frac{24cos(x)sh(x)ch(x)}{(cos(x) + ch(x))^{2}} + \frac{12sin(x)ch^{2}(x)}{(cos(x) + ch(x))^{2}} + \frac{7sin(x)sh^{2}(x)}{(cos(x) + ch(x))^{2}} + \frac{60sin^{3}(x)sh^{2}(x)}{(cos(x) + ch(x))^{4}} - \frac{60sin^{2}(x)sh^{3}(x)}{(cos(x) + ch(x))^{4}} + \frac{54sin(x)cos(x)sh^{2}(x)}{(cos(x) + ch(x))^{3}} - \frac{54sin^{2}(x)cos(x)sh(x)}{(cos(x) + ch(x))^{3}} - \frac{12cos^{2}(x)sh(x)}{(cos(x) + ch(x))^{2}} + \frac{7sin^{2}(x)sh(x)}{(cos(x) + ch(x))^{2}} - \frac{24sin(x)cos(x)ch(x)}{(cos(x) + ch(x))^{2}} - \frac{18sin^{3}(x)ch(x)}{(cos(x) + ch(x))^{3}} + \frac{30sin(x)sh^{4}(x)}{(cos(x) + ch(x))^{4}} - \frac{18cos(x)sh^{3}(x)}{(cos(x) + ch(x))^{3}} - \frac{30sin^{4}(x)sh(x)}{(cos(x) + ch(x))^{4}} + \frac{4sin(x)ch(x)}{(cos(x) + ch(x))} - \frac{4cos(x)sh(x)}{(cos(x) + ch(x))} + \frac{18sin^{3}(x)cos(x)}{(cos(x) + ch(x))^{3}} + \frac{12sin(x)cos^{2}(x)}{(cos(x) + ch(x))^{2}} - \frac{8sin(x)cos(x)}{(cos(x) + ch(x))} - \frac{7sin^{3}(x)}{(cos(x) + ch(x))^{2}} + \frac{6sin^{5}(x)}{(cos(x) + ch(x))^{4}} + \frac{18sh^{3}(x)ch(x)}{(cos(x) + ch(x))^{3}} - \frac{12sh(x)ch^{2}(x)}{(cos(x) + ch(x))^{2}} + \frac{8sh(x)ch(x)}{(cos(x) + ch(x))} - \frac{7sh^{3}(x)}{(cos(x) + ch(x))^{2}} - \frac{6sh^{5}(x)}{(cos(x) + ch(x))^{4}}\\\\ &\color{blue}{函数的第 4 阶导数：} \\&\frac{d\left( \frac{54sin^{2}(x)sh(x)ch(x)}{(cos(x) + ch(x))^{3}} - \frac{54sin(x)sh^{2}(x)ch(x)}{(cos(x) + ch(x))^{3}} + \frac{24cos(x)sh(x)ch(x)}{(cos(x) + ch(x))^{2}} + \frac{12sin(x)ch^{2}(x)}{(cos(x) + ch(x))^{2}} + \frac{7sin(x)sh^{2}(x)}{(cos(x) + ch(x))^{2}} + \frac{60sin^{3}(x)sh^{2}(x)}{(cos(x) + ch(x))^{4}} - \frac{60sin^{2}(x)sh^{3}(x)}{(cos(x) + ch(x))^{4}} + \frac{54sin(x)cos(x)sh^{2}(x)}{(cos(x) + ch(x))^{3}} - \frac{54sin^{2}(x)cos(x)sh(x)}{(cos(x) + ch(x))^{3}} - \frac{12cos^{2}(x)sh(x)}{(cos(x) + ch(x))^{2}} + \frac{7sin^{2}(x)sh(x)}{(cos(x) + ch(x))^{2}} - \frac{24sin(x)cos(x)ch(x)}{(cos(x) + ch(x))^{2}} - \frac{18sin^{3}(x)ch(x)}{(cos(x) + ch(x))^{3}} + \frac{30sin(x)sh^{4}(x)}{(cos(x) + ch(x))^{4}} - \frac{18cos(x)sh^{3}(x)}{(cos(x) + ch(x))^{3}} - \frac{30sin^{4}(x)sh(x)}{(cos(x) + ch(x))^{4}} + \frac{4sin(x)ch(x)}{(cos(x) + ch(x))} - \frac{4cos(x)sh(x)}{(cos(x) + ch(x))} + \frac{18sin^{3}(x)cos(x)}{(cos(x) + ch(x))^{3}} + \frac{12sin(x)cos^{2}(x)}{(cos(x) + ch(x))^{2}} - \frac{8sin(x)cos(x)}{(cos(x) + ch(x))} - \frac{7sin^{3}(x)}{(cos(x) + ch(x))^{2}} + \frac{6sin^{5}(x)}{(cos(x) + ch(x))^{4}} + \frac{18sh^{3}(x)ch(x)}{(cos(x) + ch(x))^{3}} - \frac{12sh(x)ch^{2}(x)}{(cos(x) + ch(x))^{2}} + \frac{8sh(x)ch(x)}{(cos(x) + ch(x))} - \frac{7sh^{3}(x)}{(cos(x) + ch(x))^{2}} - \frac{6sh^{5}(x)}{(cos(x) + ch(x))^{4}}\right)}{dx}\\=&54(\frac{-3(-sin(x) + sh(x))}{(cos(x) + ch(x))^{4}})sin^{2}(x)sh(x)ch(x) + \frac{54*2sin(x)cos(x)sh(x)ch(x)}{(cos(x) + ch(x))^{3}} + \frac{54sin^{2}(x)ch(x)ch(x)}{(cos(x) + ch(x))^{3}} + \frac{54sin^{2}(x)sh(x)sh(x)}{(cos(x) + ch(x))^{3}} - 54(\frac{-3(-sin(x) + sh(x))}{(cos(x) + ch(x))^{4}})sin(x)sh^{2}(x)ch(x) - \frac{54cos(x)sh^{2}(x)ch(x)}{(cos(x) + ch(x))^{3}} - \frac{54sin(x)*2sh(x)ch(x)ch(x)}{(cos(x) + ch(x))^{3}} - \frac{54sin(x)sh^{2}(x)sh(x)}{(cos(x) + ch(x))^{3}} + 24(\frac{-2(-sin(x) + sh(x))}{(cos(x) + ch(x))^{3}})cos(x)sh(x)ch(x) + \frac{24*-sin(x)sh(x)ch(x)}{(cos(x) + ch(x))^{2}} + \frac{24cos(x)ch(x)ch(x)}{(cos(x) + ch(x))^{2}} + \frac{24cos(x)sh(x)sh(x)}{(cos(x) + ch(x))^{2}} + 12(\frac{-2(-sin(x) + sh(x))}{(cos(x) + ch(x))^{3}})sin(x)ch^{2}(x) + \frac{12cos(x)ch^{2}(x)}{(cos(x) + ch(x))^{2}} + \frac{12sin(x)*2ch(x)sh(x)}{(cos(x) + ch(x))^{2}} + 7(\frac{-2(-sin(x) + sh(x))}{(cos(x) + ch(x))^{3}})sin(x)sh^{2}(x) + \frac{7cos(x)sh^{2}(x)}{(cos(x) + ch(x))^{2}} + \frac{7sin(x)*2sh(x)ch(x)}{(cos(x) + ch(x))^{2}} + 60(\frac{-4(-sin(x) + sh(x))}{(cos(x) + ch(x))^{5}})sin^{3}(x)sh^{2}(x) + \frac{60*3sin^{2}(x)cos(x)sh^{2}(x)}{(cos(x) + ch(x))^{4}} + \frac{60sin^{3}(x)*2sh(x)ch(x)}{(cos(x) + ch(x))^{4}} - 60(\frac{-4(-sin(x) + sh(x))}{(cos(x) + ch(x))^{5}})sin^{2}(x)sh^{3}(x) - \frac{60*2sin(x)cos(x)sh^{3}(x)}{(cos(x) + ch(x))^{4}} - \frac{60sin^{2}(x)*3sh^{2}(x)ch(x)}{(cos(x) + ch(x))^{4}} + 54(\frac{-3(-sin(x) + sh(x))}{(cos(x) + ch(x))^{4}})sin(x)cos(x)sh^{2}(x) + \frac{54cos(x)cos(x)sh^{2}(x)}{(cos(x) + ch(x))^{3}} + \frac{54sin(x)*-sin(x)sh^{2}(x)}{(cos(x) + ch(x))^{3}} + \frac{54sin(x)cos(x)*2sh(x)ch(x)}{(cos(x) + ch(x))^{3}} - 54(\frac{-3(-sin(x) + sh(x))}{(cos(x) + ch(x))^{4}})sin^{2}(x)cos(x)sh(x) - \frac{54*2sin(x)cos(x)cos(x)sh(x)}{(cos(x) + ch(x))^{3}} - \frac{54sin^{2}(x)*-sin(x)sh(x)}{(cos(x) + ch(x))^{3}} - \frac{54sin^{2}(x)cos(x)ch(x)}{(cos(x) + ch(x))^{3}} - 12(\frac{-2(-sin(x) + sh(x))}{(cos(x) + ch(x))^{3}})cos^{2}(x)sh(x) - \frac{12*-2cos(x)sin(x)sh(x)}{(cos(x) + ch(x))^{2}} - \frac{12cos^{2}(x)ch(x)}{(cos(x) + ch(x))^{2}} + 7(\frac{-2(-sin(x) + sh(x))}{(cos(x) + ch(x))^{3}})sin^{2}(x)sh(x) + \frac{7*2sin(x)cos(x)sh(x)}{(cos(x) + ch(x))^{2}} + \frac{7sin^{2}(x)ch(x)}{(cos(x) + ch(x))^{2}} - 24(\frac{-2(-sin(x) + sh(x))}{(cos(x) + ch(x))^{3}})sin(x)cos(x)ch(x) - \frac{24cos(x)cos(x)ch(x)}{(cos(x) + ch(x))^{2}} - \frac{24sin(x)*-sin(x)ch(x)}{(cos(x) + ch(x))^{2}} - \frac{24sin(x)cos(x)sh(x)}{(cos(x) + ch(x))^{2}} - 18(\frac{-3(-sin(x) + sh(x))}{(cos(x) + ch(x))^{4}})sin^{3}(x)ch(x) - \frac{18*3sin^{2}(x)cos(x)ch(x)}{(cos(x) + ch(x))^{3}} - \frac{18sin^{3}(x)sh(x)}{(cos(x) + ch(x))^{3}} + 30(\frac{-4(-sin(x) + sh(x))}{(cos(x) + ch(x))^{5}})sin(x)sh^{4}(x) + \frac{30cos(x)sh^{4}(x)}{(cos(x) + ch(x))^{4}} + \frac{30sin(x)*4sh^{3}(x)ch(x)}{(cos(x) + ch(x))^{4}} - 18(\frac{-3(-sin(x) + sh(x))}{(cos(x) + ch(x))^{4}})cos(x)sh^{3}(x) - \frac{18*-sin(x)sh^{3}(x)}{(cos(x) + ch(x))^{3}} - \frac{18cos(x)*3sh^{2}(x)ch(x)}{(cos(x) + ch(x))^{3}} - 30(\frac{-4(-sin(x) + sh(x))}{(cos(x) + ch(x))^{5}})sin^{4}(x)sh(x) - \frac{30*4sin^{3}(x)cos(x)sh(x)}{(cos(x) + ch(x))^{4}} - \frac{30sin^{4}(x)ch(x)}{(cos(x) + ch(x))^{4}} + 4(\frac{-(-sin(x) + sh(x))}{(cos(x) + ch(x))^{2}})sin(x)ch(x) + \frac{4cos(x)ch(x)}{(cos(x) + ch(x))} + \frac{4sin(x)sh(x)}{(cos(x) + ch(x))} - 4(\frac{-(-sin(x) + sh(x))}{(cos(x) + ch(x))^{2}})cos(x)sh(x) - \frac{4*-sin(x)sh(x)}{(cos(x) + ch(x))} - \frac{4cos(x)ch(x)}{(cos(x) + ch(x))} + 18(\frac{-3(-sin(x) + sh(x))}{(cos(x) + ch(x))^{4}})sin^{3}(x)cos(x) + \frac{18*3sin^{2}(x)cos(x)cos(x)}{(cos(x) + ch(x))^{3}} + \frac{18sin^{3}(x)*-sin(x)}{(cos(x) + ch(x))^{3}} + 12(\frac{-2(-sin(x) + sh(x))}{(cos(x) + ch(x))^{3}})sin(x)cos^{2}(x) + \frac{12cos(x)cos^{2}(x)}{(cos(x) + ch(x))^{2}} + \frac{12sin(x)*-2cos(x)sin(x)}{(cos(x) + ch(x))^{2}} - 8(\frac{-(-sin(x) + sh(x))}{(cos(x) + ch(x))^{2}})sin(x)cos(x) - \frac{8cos(x)cos(x)}{(cos(x) + ch(x))} - \frac{8sin(x)*-sin(x)}{(cos(x) + ch(x))} - 7(\frac{-2(-sin(x) + sh(x))}{(cos(x) + ch(x))^{3}})sin^{3}(x) - \frac{7*3sin^{2}(x)cos(x)}{(cos(x) + ch(x))^{2}} + 6(\frac{-4(-sin(x) + sh(x))}{(cos(x) + ch(x))^{5}})sin^{5}(x) + \frac{6*5sin^{4}(x)cos(x)}{(cos(x) + ch(x))^{4}} + 18(\frac{-3(-sin(x) + sh(x))}{(cos(x) + ch(x))^{4}})sh^{3}(x)ch(x) + \frac{18*3sh^{2}(x)ch(x)ch(x)}{(cos(x) + ch(x))^{3}} + \frac{18sh^{3}(x)sh(x)}{(cos(x) + ch(x))^{3}} - 12(\frac{-2(-sin(x) + sh(x))}{(cos(x) + ch(x))^{3}})sh(x)ch^{2}(x) - \frac{12ch(x)ch^{2}(x)}{(cos(x) + ch(x))^{2}} - \frac{12sh(x)*2ch(x)sh(x)}{(cos(x) + ch(x))^{2}} + 8(\frac{-(-sin(x) + sh(x))}{(cos(x) + ch(x))^{2}})sh(x)ch(x) + \frac{8ch(x)ch(x)}{(cos(x) + ch(x))} + \frac{8sh(x)sh(x)}{(cos(x) + ch(x))} - 7(\frac{-2(-sin(x) + sh(x))}{(cos(x) + ch(x))^{3}})sh^{3}(x) - \frac{7*3sh^{2}(x)ch(x)}{(cos(x) + ch(x))^{2}} - 6(\frac{-4(-sin(x) + sh(x))}{(cos(x) + ch(x))^{5}})sh^{5}(x) - \frac{6*5sh^{4}(x)ch(x)}{(cos(x) + ch(x))^{4}}\\=&\frac{336sin^{3}(x)sh(x)ch(x)}{(cos(x) + ch(x))^{4}} - \frac{504sin^{2}(x)sh^{2}(x)ch(x)}{(cos(x) + ch(x))^{4}} + \frac{312sin(x)cos(x)sh(x)ch(x)}{(cos(x) + ch(x))^{3}} + \frac{78sin^{2}(x)ch^{2}(x)}{(cos(x) + ch(x))^{3}} + \frac{336sin(x)sh^{3}(x)ch(x)}{(cos(x) + ch(x))^{4}} - \frac{156cos(x)sh^{2}(x)ch(x)}{(cos(x) + ch(x))^{3}} - \frac{156sin(x)sh(x)ch^{2}(x)}{(cos(x) + ch(x))^{3}} + \frac{18sin(x)sh(x)ch(x)}{(cos(x) + ch(x))^{2}} - \frac{64sin(x)sh^{3}(x)}{(cos(x) + ch(x))^{3}} + \frac{36cos(x)ch^{2}(x)}{(cos(x) + ch(x))^{2}} + \frac{35cos(x)sh^{2}(x)}{(cos(x) + ch(x))^{2}} + \frac{360sin^{4}(x)sh^{2}(x)}{(cos(x) + ch(x))^{5}} - \frac{480sin^{3}(x)sh^{3}(x)}{(cos(x) + ch(x))^{5}} + \frac{360sin^{2}(x)sh^{4}(x)}{(cos(x) + ch(x))^{5}} - \frac{336sin(x)cos(x)sh^{3}(x)}{(cos(x) + ch(x))^{4}} + \frac{504sin^{2}(x)cos(x)sh^{2}(x)}{(cos(x) + ch(x))^{4}} + \frac{78cos^{2}(x)sh^{2}(x)}{(cos(x) + ch(x))^{3}} - \frac{336sin^{3}(x)cos(x)sh(x)}{(cos(x) + ch(x))^{4}} - \frac{156sin(x)cos^{2}(x)sh(x)}{(cos(x) + ch(x))^{3}} + \frac{64sin^{3}(x)sh(x)}{(cos(x) + ch(x))^{3}} - \frac{156sin^{2}(x)cos(x)ch(x)}{(cos(x) + ch(x))^{3}} + \frac{18sin(x)cos(x)sh(x)}{(cos(x) + ch(x))^{2}} - \frac{36cos^{2}(x)ch(x)}{(cos(x) + ch(x))^{2}} + \frac{35sin^{2}(x)ch(x)}{(cos(x) + ch(x))^{2}} - \frac{84sin^{4}(x)ch(x)}{(cos(x) + ch(x))^{4}} - \frac{144sin(x)sh^{5}(x)}{(cos(x) + ch(x))^{5}} + \frac{84cos(x)sh^{4}(x)}{(cos(x) + ch(x))^{4}} - \frac{144sin^{5}(x)sh(x)}{(cos(x) + ch(x))^{5}} + \frac{8sin(x)sh(x)}{(cos(x) + ch(x))} + \frac{84sin^{4}(x)cos(x)}{(cos(x) + ch(x))^{4}} + \frac{78sin^{2}(x)cos^{2}(x)}{(cos(x) + ch(x))^{3}} - \frac{53sin^{2}(x)cos(x)}{(cos(x) + ch(x))^{2}} + \frac{12cos^{3}(x)}{(cos(x) + ch(x))^{2}} - \frac{32sin^{4}(x)}{(cos(x) + ch(x))^{3}} - \frac{8cos^{2}(x)}{(cos(x) + ch(x))} + \frac{8sin^{2}(x)}{(cos(x) + ch(x))} + \frac{24sin^{6}(x)}{(cos(x) + ch(x))^{5}} - \frac{84sh^{4}(x)ch(x)}{(cos(x) + ch(x))^{4}} + \frac{78sh^{2}(x)ch^{2}(x)}{(cos(x) + ch(x))^{3}} - \frac{53sh^{2}(x)ch(x)}{(cos(x) + ch(x))^{2}} - \frac{12ch^{3}(x)}{(cos(x) + ch(x))^{2}} + \frac{32sh^{4}(x)}{(cos(x) + ch(x))^{3}} + \frac{8ch^{2}(x)}{(cos(x) + ch(x))} + \frac{8sh^{2}(x)}{(cos(x) + ch(x))} + \frac{24sh^{6}(x)}{(cos(x) + ch(x))^{5}}\\ \end{split}\end{equation} \]

你的问题在这里没有得到解决？请到 热门难题 里面看看吧！