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。
\[ \begin{equation}\begin{split}【1/1】求函数sin(cos(sin(cos(e^{x})))) 关于 x 的 4 阶导数：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &\color{blue}{函数的第 1 阶导数：}\\&\frac{d\left( sin(cos(sin(cos(e^{x}))))\right)}{dx}\\=&cos(cos(sin(cos(e^{x}))))*-sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}\\=&e^{x}sin(e^{x})sin(sin(cos(e^{x})))cos(cos(sin(cos(e^{x}))))cos(cos(e^{x}))\\\\ &\color{blue}{函数的第 2 阶导数：} \\&\frac{d\left( e^{x}sin(e^{x})sin(sin(cos(e^{x})))cos(cos(sin(cos(e^{x}))))cos(cos(e^{x}))\right)}{dx}\\=&e^{x}sin(e^{x})sin(sin(cos(e^{x})))cos(cos(sin(cos(e^{x}))))cos(cos(e^{x})) + e^{x}cos(e^{x})e^{x}sin(sin(cos(e^{x})))cos(cos(sin(cos(e^{x}))))cos(cos(e^{x})) + e^{x}sin(e^{x})cos(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}cos(cos(sin(cos(e^{x}))))cos(cos(e^{x})) + e^{x}sin(e^{x})sin(sin(cos(e^{x})))*-sin(cos(sin(cos(e^{x}))))*-sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}cos(cos(e^{x})) + e^{x}sin(e^{x})sin(sin(cos(e^{x})))cos(cos(sin(cos(e^{x}))))*-sin(cos(e^{x}))*-sin(e^{x})e^{x}\\=&e^{x}sin(e^{x})sin(sin(cos(e^{x})))cos(cos(sin(cos(e^{x}))))cos(cos(e^{x})) + e^{{x}*{2}}sin(sin(cos(e^{x})))cos(e^{x})cos(cos(sin(cos(e^{x}))))cos(cos(e^{x})) - e^{{x}*{2}}sin^{2}(e^{x})cos(sin(cos(e^{x})))cos^{2}(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - e^{{x}*{2}}sin^{2}(e^{x})sin^{2}(sin(cos(e^{x})))sin(cos(sin(cos(e^{x}))))cos^{2}(cos(e^{x})) + e^{{x}*{2}}sin^{2}(e^{x})sin(cos(e^{x}))sin(sin(cos(e^{x})))cos(cos(sin(cos(e^{x}))))\\\\ &\color{blue}{函数的第 3 阶导数：} \\&\frac{d\left( e^{x}sin(e^{x})sin(sin(cos(e^{x})))cos(cos(sin(cos(e^{x}))))cos(cos(e^{x})) + e^{{x}*{2}}sin(sin(cos(e^{x})))cos(e^{x})cos(cos(sin(cos(e^{x}))))cos(cos(e^{x})) - e^{{x}*{2}}sin^{2}(e^{x})cos(sin(cos(e^{x})))cos^{2}(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - e^{{x}*{2}}sin^{2}(e^{x})sin^{2}(sin(cos(e^{x})))sin(cos(sin(cos(e^{x}))))cos^{2}(cos(e^{x})) + e^{{x}*{2}}sin^{2}(e^{x})sin(cos(e^{x}))sin(sin(cos(e^{x})))cos(cos(sin(cos(e^{x}))))\right)}{dx}\\=&e^{x}sin(e^{x})sin(sin(cos(e^{x})))cos(cos(sin(cos(e^{x}))))cos(cos(e^{x})) + e^{x}cos(e^{x})e^{x}sin(sin(cos(e^{x})))cos(cos(sin(cos(e^{x}))))cos(cos(e^{x})) + e^{x}sin(e^{x})cos(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}cos(cos(sin(cos(e^{x}))))cos(cos(e^{x})) + e^{x}sin(e^{x})sin(sin(cos(e^{x})))*-sin(cos(sin(cos(e^{x}))))*-sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}cos(cos(e^{x})) + e^{x}sin(e^{x})sin(sin(cos(e^{x})))cos(cos(sin(cos(e^{x}))))*-sin(cos(e^{x}))*-sin(e^{x})e^{x} + 2e^{x}e^{x}sin(sin(cos(e^{x})))cos(e^{x})cos(cos(sin(cos(e^{x}))))cos(cos(e^{x})) + e^{{x}*{2}}cos(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}cos(e^{x})cos(cos(sin(cos(e^{x}))))cos(cos(e^{x})) + e^{{x}*{2}}sin(sin(cos(e^{x})))*-sin(e^{x})e^{x}cos(cos(sin(cos(e^{x}))))cos(cos(e^{x})) + e^{{x}*{2}}sin(sin(cos(e^{x})))cos(e^{x})*-sin(cos(sin(cos(e^{x}))))*-sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}cos(cos(e^{x})) + e^{{x}*{2}}sin(sin(cos(e^{x})))cos(e^{x})cos(cos(sin(cos(e^{x}))))*-sin(cos(e^{x}))*-sin(e^{x})e^{x} - 2e^{x}e^{x}sin^{2}(e^{x})cos(sin(cos(e^{x})))cos^{2}(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - e^{{x}*{2}}*2sin(e^{x})cos(e^{x})e^{x}cos(sin(cos(e^{x})))cos^{2}(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - e^{{x}*{2}}sin^{2}(e^{x})*-sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}cos^{2}(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - e^{{x}*{2}}sin^{2}(e^{x})cos(sin(cos(e^{x})))*-2cos(cos(e^{x}))sin(cos(e^{x}))*-sin(e^{x})e^{x}cos(cos(sin(cos(e^{x})))) - e^{{x}*{2}}sin^{2}(e^{x})cos(sin(cos(e^{x})))cos^{2}(cos(e^{x}))*-sin(cos(sin(cos(e^{x}))))*-sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x} - 2e^{x}e^{x}sin^{2}(e^{x})sin^{2}(sin(cos(e^{x})))sin(cos(sin(cos(e^{x}))))cos^{2}(cos(e^{x})) - e^{{x}*{2}}*2sin(e^{x})cos(e^{x})e^{x}sin^{2}(sin(cos(e^{x})))sin(cos(sin(cos(e^{x}))))cos^{2}(cos(e^{x})) - e^{{x}*{2}}sin^{2}(e^{x})*2sin(sin(cos(e^{x})))cos(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}sin(cos(sin(cos(e^{x}))))cos^{2}(cos(e^{x})) - e^{{x}*{2}}sin^{2}(e^{x})sin^{2}(sin(cos(e^{x})))cos(cos(sin(cos(e^{x}))))*-sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}cos^{2}(cos(e^{x})) - e^{{x}*{2}}sin^{2}(e^{x})sin^{2}(sin(cos(e^{x})))sin(cos(sin(cos(e^{x}))))*-2cos(cos(e^{x}))sin(cos(e^{x}))*-sin(e^{x})e^{x} + 2e^{x}e^{x}sin^{2}(e^{x})sin(cos(e^{x}))sin(sin(cos(e^{x})))cos(cos(sin(cos(e^{x})))) + e^{{x}*{2}}*2sin(e^{x})cos(e^{x})e^{x}sin(cos(e^{x}))sin(sin(cos(e^{x})))cos(cos(sin(cos(e^{x})))) + e^{{x}*{2}}sin^{2}(e^{x})cos(cos(e^{x}))*-sin(e^{x})e^{x}sin(sin(cos(e^{x})))cos(cos(sin(cos(e^{x})))) + e^{{x}*{2}}sin^{2}(e^{x})sin(cos(e^{x}))cos(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}cos(cos(sin(cos(e^{x})))) + e^{{x}*{2}}sin^{2}(e^{x})sin(cos(e^{x}))sin(sin(cos(e^{x})))*-sin(cos(sin(cos(e^{x}))))*-sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}\\=& - 2e^{{x}*{3}}sin^{3}(e^{x})sin(cos(e^{x}))cos(cos(e^{x}))cos(sin(cos(e^{x})))cos(cos(sin(cos(e^{x})))) - e^{{x}*{3}}sin(e^{x})cos(sin(cos(e^{x})))cos^{2}(cos(e^{x}))cos(e^{x})cos(cos(sin(cos(e^{x})))) - 2e^{{x}*{3}}sin(e^{x})cos(e^{x})cos(sin(cos(e^{x})))cos^{2}(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - 3e^{{x}*{3}}sin(e^{x})sin^{2}(sin(cos(e^{x})))sin(cos(sin(cos(e^{x}))))cos(e^{x})cos^{2}(cos(e^{x})) + e^{{x}*{3}}sin^{3}(e^{x})sin(cos(sin(cos(e^{x}))))sin(sin(cos(e^{x})))cos(sin(cos(e^{x})))cos^{3}(cos(e^{x})) + 3e^{{x}*{2}}sin(sin(cos(e^{x})))cos(e^{x})cos(cos(sin(cos(e^{x}))))cos(cos(e^{x})) - e^{{x}*{3}}sin(cos(e^{x}))sin^{3}(e^{x})cos(sin(cos(e^{x})))cos(cos(e^{x}))cos(cos(sin(cos(e^{x})))) + 2e^{{x}*{3}}sin(sin(cos(e^{x})))sin^{3}(e^{x})sin(cos(sin(cos(e^{x}))))cos^{3}(cos(e^{x}))cos(sin(cos(e^{x}))) + e^{x}sin(e^{x})sin(sin(cos(e^{x})))cos(cos(sin(cos(e^{x}))))cos(cos(e^{x})) - 3e^{{x}*{2}}sin^{2}(e^{x})cos(sin(cos(e^{x})))cos^{2}(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - e^{{x}*{3}}sin(sin(cos(e^{x})))sin^{3}(e^{x})cos^{3}(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - e^{{x}*{3}}sin(e^{x})sin(sin(cos(e^{x})))cos(cos(sin(cos(e^{x}))))cos(cos(e^{x})) + 2e^{{x}*{3}}sin(e^{x})sin(cos(e^{x}))sin(sin(cos(e^{x})))cos(e^{x})cos(cos(sin(cos(e^{x})))) + e^{{x}*{3}}sin(sin(cos(e^{x})))sin(cos(e^{x}))sin(e^{x})cos(e^{x})cos(cos(sin(cos(e^{x})))) - e^{{x}*{3}}sin^{3}(e^{x})sin^{3}(sin(cos(e^{x})))cos(cos(sin(cos(e^{x}))))cos^{3}(cos(e^{x})) - 2e^{{x}*{3}}sin(cos(sin(cos(e^{x}))))sin^{3}(e^{x})sin(cos(e^{x}))sin^{2}(sin(cos(e^{x})))cos(cos(e^{x})) + 3e^{{x}*{2}}sin^{2}(e^{x})sin(cos(e^{x}))sin(sin(cos(e^{x})))cos(cos(sin(cos(e^{x})))) - e^{{x}*{3}}sin^{3}(e^{x})sin(sin(cos(e^{x})))cos(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - 3e^{{x}*{2}}sin^{2}(e^{x})sin^{2}(sin(cos(e^{x})))sin(cos(sin(cos(e^{x}))))cos^{2}(cos(e^{x})) - e^{{x}*{3}}sin(cos(sin(cos(e^{x}))))sin(cos(e^{x}))sin^{3}(e^{x})sin^{2}(sin(cos(e^{x})))cos(cos(e^{x}))\\\\ &\color{blue}{函数的第 4 阶导数：} \\&\frac{d\left( - 2e^{{x}*{3}}sin^{3}(e^{x})sin(cos(e^{x}))cos(cos(e^{x}))cos(sin(cos(e^{x})))cos(cos(sin(cos(e^{x})))) - e^{{x}*{3}}sin(e^{x})cos(sin(cos(e^{x})))cos^{2}(cos(e^{x}))cos(e^{x})cos(cos(sin(cos(e^{x})))) - 2e^{{x}*{3}}sin(e^{x})cos(e^{x})cos(sin(cos(e^{x})))cos^{2}(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - 3e^{{x}*{3}}sin(e^{x})sin^{2}(sin(cos(e^{x})))sin(cos(sin(cos(e^{x}))))cos(e^{x})cos^{2}(cos(e^{x})) + e^{{x}*{3}}sin^{3}(e^{x})sin(cos(sin(cos(e^{x}))))sin(sin(cos(e^{x})))cos(sin(cos(e^{x})))cos^{3}(cos(e^{x})) + 3e^{{x}*{2}}sin(sin(cos(e^{x})))cos(e^{x})cos(cos(sin(cos(e^{x}))))cos(cos(e^{x})) - e^{{x}*{3}}sin(cos(e^{x}))sin^{3}(e^{x})cos(sin(cos(e^{x})))cos(cos(e^{x}))cos(cos(sin(cos(e^{x})))) + 2e^{{x}*{3}}sin(sin(cos(e^{x})))sin^{3}(e^{x})sin(cos(sin(cos(e^{x}))))cos^{3}(cos(e^{x}))cos(sin(cos(e^{x}))) + e^{x}sin(e^{x})sin(sin(cos(e^{x})))cos(cos(sin(cos(e^{x}))))cos(cos(e^{x})) - 3e^{{x}*{2}}sin^{2}(e^{x})cos(sin(cos(e^{x})))cos^{2}(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - e^{{x}*{3}}sin(sin(cos(e^{x})))sin^{3}(e^{x})cos^{3}(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - e^{{x}*{3}}sin(e^{x})sin(sin(cos(e^{x})))cos(cos(sin(cos(e^{x}))))cos(cos(e^{x})) + 2e^{{x}*{3}}sin(e^{x})sin(cos(e^{x}))sin(sin(cos(e^{x})))cos(e^{x})cos(cos(sin(cos(e^{x})))) + e^{{x}*{3}}sin(sin(cos(e^{x})))sin(cos(e^{x}))sin(e^{x})cos(e^{x})cos(cos(sin(cos(e^{x})))) - e^{{x}*{3}}sin^{3}(e^{x})sin^{3}(sin(cos(e^{x})))cos(cos(sin(cos(e^{x}))))cos^{3}(cos(e^{x})) - 2e^{{x}*{3}}sin(cos(sin(cos(e^{x}))))sin^{3}(e^{x})sin(cos(e^{x}))sin^{2}(sin(cos(e^{x})))cos(cos(e^{x})) + 3e^{{x}*{2}}sin^{2}(e^{x})sin(cos(e^{x}))sin(sin(cos(e^{x})))cos(cos(sin(cos(e^{x})))) - e^{{x}*{3}}sin^{3}(e^{x})sin(sin(cos(e^{x})))cos(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - 3e^{{x}*{2}}sin^{2}(e^{x})sin^{2}(sin(cos(e^{x})))sin(cos(sin(cos(e^{x}))))cos^{2}(cos(e^{x})) - e^{{x}*{3}}sin(cos(sin(cos(e^{x}))))sin(cos(e^{x}))sin^{3}(e^{x})sin^{2}(sin(cos(e^{x})))cos(cos(e^{x}))\right)}{dx}\\=& - 2*3e^{{x}*{2}}e^{x}sin^{3}(e^{x})sin(cos(e^{x}))cos(cos(e^{x}))cos(sin(cos(e^{x})))cos(cos(sin(cos(e^{x})))) - 2e^{{x}*{3}}*3sin^{2}(e^{x})cos(e^{x})e^{x}sin(cos(e^{x}))cos(cos(e^{x}))cos(sin(cos(e^{x})))cos(cos(sin(cos(e^{x})))) - 2e^{{x}*{3}}sin^{3}(e^{x})cos(cos(e^{x}))*-sin(e^{x})e^{x}cos(cos(e^{x}))cos(sin(cos(e^{x})))cos(cos(sin(cos(e^{x})))) - 2e^{{x}*{3}}sin^{3}(e^{x})sin(cos(e^{x}))*-sin(cos(e^{x}))*-sin(e^{x})e^{x}cos(sin(cos(e^{x})))cos(cos(sin(cos(e^{x})))) - 2e^{{x}*{3}}sin^{3}(e^{x})sin(cos(e^{x}))cos(cos(e^{x}))*-sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}cos(cos(sin(cos(e^{x})))) - 2e^{{x}*{3}}sin^{3}(e^{x})sin(cos(e^{x}))cos(cos(e^{x}))cos(sin(cos(e^{x})))*-sin(cos(sin(cos(e^{x}))))*-sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x} - 3e^{{x}*{2}}e^{x}sin(e^{x})cos(sin(cos(e^{x})))cos^{2}(cos(e^{x}))cos(e^{x})cos(cos(sin(cos(e^{x})))) - e^{{x}*{3}}cos(e^{x})e^{x}cos(sin(cos(e^{x})))cos^{2}(cos(e^{x}))cos(e^{x})cos(cos(sin(cos(e^{x})))) - e^{{x}*{3}}sin(e^{x})*-sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}cos^{2}(cos(e^{x}))cos(e^{x})cos(cos(sin(cos(e^{x})))) - e^{{x}*{3}}sin(e^{x})cos(sin(cos(e^{x})))*-2cos(cos(e^{x}))sin(cos(e^{x}))*-sin(e^{x})e^{x}cos(e^{x})cos(cos(sin(cos(e^{x})))) - e^{{x}*{3}}sin(e^{x})cos(sin(cos(e^{x})))cos^{2}(cos(e^{x}))*-sin(e^{x})e^{x}cos(cos(sin(cos(e^{x})))) - e^{{x}*{3}}sin(e^{x})cos(sin(cos(e^{x})))cos^{2}(cos(e^{x}))cos(e^{x})*-sin(cos(sin(cos(e^{x}))))*-sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x} - 2*3e^{{x}*{2}}e^{x}sin(e^{x})cos(e^{x})cos(sin(cos(e^{x})))cos^{2}(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - 2e^{{x}*{3}}cos(e^{x})e^{x}cos(e^{x})cos(sin(cos(e^{x})))cos^{2}(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - 2e^{{x}*{3}}sin(e^{x})*-sin(e^{x})e^{x}cos(sin(cos(e^{x})))cos^{2}(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - 2e^{{x}*{3}}sin(e^{x})cos(e^{x})*-sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}cos^{2}(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - 2e^{{x}*{3}}sin(e^{x})cos(e^{x})cos(sin(cos(e^{x})))*-2cos(cos(e^{x}))sin(cos(e^{x}))*-sin(e^{x})e^{x}cos(cos(sin(cos(e^{x})))) - 2e^{{x}*{3}}sin(e^{x})cos(e^{x})cos(sin(cos(e^{x})))cos^{2}(cos(e^{x}))*-sin(cos(sin(cos(e^{x}))))*-sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x} - 3*3e^{{x}*{2}}e^{x}sin(e^{x})sin^{2}(sin(cos(e^{x})))sin(cos(sin(cos(e^{x}))))cos(e^{x})cos^{2}(cos(e^{x})) - 3e^{{x}*{3}}cos(e^{x})e^{x}sin^{2}(sin(cos(e^{x})))sin(cos(sin(cos(e^{x}))))cos(e^{x})cos^{2}(cos(e^{x})) - 3e^{{x}*{3}}sin(e^{x})*2sin(sin(cos(e^{x})))cos(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}sin(cos(sin(cos(e^{x}))))cos(e^{x})cos^{2}(cos(e^{x})) - 3e^{{x}*{3}}sin(e^{x})sin^{2}(sin(cos(e^{x})))cos(cos(sin(cos(e^{x}))))*-sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}cos(e^{x})cos^{2}(cos(e^{x})) - 3e^{{x}*{3}}sin(e^{x})sin^{2}(sin(cos(e^{x})))sin(cos(sin(cos(e^{x}))))*-sin(e^{x})e^{x}cos^{2}(cos(e^{x})) - 3e^{{x}*{3}}sin(e^{x})sin^{2}(sin(cos(e^{x})))sin(cos(sin(cos(e^{x}))))cos(e^{x})*-2cos(cos(e^{x}))sin(cos(e^{x}))*-sin(e^{x})e^{x} + 3e^{{x}*{2}}e^{x}sin^{3}(e^{x})sin(cos(sin(cos(e^{x}))))sin(sin(cos(e^{x})))cos(sin(cos(e^{x})))cos^{3}(cos(e^{x})) + e^{{x}*{3}}*3sin^{2}(e^{x})cos(e^{x})e^{x}sin(cos(sin(cos(e^{x}))))sin(sin(cos(e^{x})))cos(sin(cos(e^{x})))cos^{3}(cos(e^{x})) + e^{{x}*{3}}sin^{3}(e^{x})cos(cos(sin(cos(e^{x}))))*-sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}sin(sin(cos(e^{x})))cos(sin(cos(e^{x})))cos^{3}(cos(e^{x})) + e^{{x}*{3}}sin^{3}(e^{x})sin(cos(sin(cos(e^{x}))))cos(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}cos(sin(cos(e^{x})))cos^{3}(cos(e^{x})) + e^{{x}*{3}}sin^{3}(e^{x})sin(cos(sin(cos(e^{x}))))sin(sin(cos(e^{x})))*-sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}cos^{3}(cos(e^{x})) + e^{{x}*{3}}sin^{3}(e^{x})sin(cos(sin(cos(e^{x}))))sin(sin(cos(e^{x})))cos(sin(cos(e^{x})))*-3cos^{2}(cos(e^{x}))sin(cos(e^{x}))*-sin(e^{x})e^{x} + 3*2e^{x}e^{x}sin(sin(cos(e^{x})))cos(e^{x})cos(cos(sin(cos(e^{x}))))cos(cos(e^{x})) + 3e^{{x}*{2}}cos(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}cos(e^{x})cos(cos(sin(cos(e^{x}))))cos(cos(e^{x})) + 3e^{{x}*{2}}sin(sin(cos(e^{x})))*-sin(e^{x})e^{x}cos(cos(sin(cos(e^{x}))))cos(cos(e^{x})) + 3e^{{x}*{2}}sin(sin(cos(e^{x})))cos(e^{x})*-sin(cos(sin(cos(e^{x}))))*-sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}cos(cos(e^{x})) + 3e^{{x}*{2}}sin(sin(cos(e^{x})))cos(e^{x})cos(cos(sin(cos(e^{x}))))*-sin(cos(e^{x}))*-sin(e^{x})e^{x} - 3e^{{x}*{2}}e^{x}sin(cos(e^{x}))sin^{3}(e^{x})cos(sin(cos(e^{x})))cos(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - e^{{x}*{3}}cos(cos(e^{x}))*-sin(e^{x})e^{x}sin^{3}(e^{x})cos(sin(cos(e^{x})))cos(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - e^{{x}*{3}}sin(cos(e^{x}))*3sin^{2}(e^{x})cos(e^{x})e^{x}cos(sin(cos(e^{x})))cos(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - e^{{x}*{3}}sin(cos(e^{x}))sin^{3}(e^{x})*-sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}cos(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - e^{{x}*{3}}sin(cos(e^{x}))sin^{3}(e^{x})cos(sin(cos(e^{x})))*-sin(cos(e^{x}))*-sin(e^{x})e^{x}cos(cos(sin(cos(e^{x})))) - e^{{x}*{3}}sin(cos(e^{x}))sin^{3}(e^{x})cos(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(cos(sin(cos(e^{x}))))*-sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x} + 2*3e^{{x}*{2}}e^{x}sin(sin(cos(e^{x})))sin^{3}(e^{x})sin(cos(sin(cos(e^{x}))))cos^{3}(cos(e^{x}))cos(sin(cos(e^{x}))) + 2e^{{x}*{3}}cos(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}sin^{3}(e^{x})sin(cos(sin(cos(e^{x}))))cos^{3}(cos(e^{x}))cos(sin(cos(e^{x}))) + 2e^{{x}*{3}}sin(sin(cos(e^{x})))*3sin^{2}(e^{x})cos(e^{x})e^{x}sin(cos(sin(cos(e^{x}))))cos^{3}(cos(e^{x}))cos(sin(cos(e^{x}))) + 2e^{{x}*{3}}sin(sin(cos(e^{x})))sin^{3}(e^{x})cos(cos(sin(cos(e^{x}))))*-sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}cos^{3}(cos(e^{x}))cos(sin(cos(e^{x}))) + 2e^{{x}*{3}}sin(sin(cos(e^{x})))sin^{3}(e^{x})sin(cos(sin(cos(e^{x}))))*-3cos^{2}(cos(e^{x}))sin(cos(e^{x}))*-sin(e^{x})e^{x}cos(sin(cos(e^{x}))) + 2e^{{x}*{3}}sin(sin(cos(e^{x})))sin^{3}(e^{x})sin(cos(sin(cos(e^{x}))))cos^{3}(cos(e^{x}))*-sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x} + e^{x}sin(e^{x})sin(sin(cos(e^{x})))cos(cos(sin(cos(e^{x}))))cos(cos(e^{x})) + e^{x}cos(e^{x})e^{x}sin(sin(cos(e^{x})))cos(cos(sin(cos(e^{x}))))cos(cos(e^{x})) + e^{x}sin(e^{x})cos(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}cos(cos(sin(cos(e^{x}))))cos(cos(e^{x})) + e^{x}sin(e^{x})sin(sin(cos(e^{x})))*-sin(cos(sin(cos(e^{x}))))*-sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}cos(cos(e^{x})) + e^{x}sin(e^{x})sin(sin(cos(e^{x})))cos(cos(sin(cos(e^{x}))))*-sin(cos(e^{x}))*-sin(e^{x})e^{x} - 3*2e^{x}e^{x}sin^{2}(e^{x})cos(sin(cos(e^{x})))cos^{2}(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - 3e^{{x}*{2}}*2sin(e^{x})cos(e^{x})e^{x}cos(sin(cos(e^{x})))cos^{2}(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - 3e^{{x}*{2}}sin^{2}(e^{x})*-sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}cos^{2}(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - 3e^{{x}*{2}}sin^{2}(e^{x})cos(sin(cos(e^{x})))*-2cos(cos(e^{x}))sin(cos(e^{x}))*-sin(e^{x})e^{x}cos(cos(sin(cos(e^{x})))) - 3e^{{x}*{2}}sin^{2}(e^{x})cos(sin(cos(e^{x})))cos^{2}(cos(e^{x}))*-sin(cos(sin(cos(e^{x}))))*-sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x} - 3e^{{x}*{2}}e^{x}sin(sin(cos(e^{x})))sin^{3}(e^{x})cos^{3}(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - e^{{x}*{3}}cos(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}sin^{3}(e^{x})cos^{3}(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - e^{{x}*{3}}sin(sin(cos(e^{x})))*3sin^{2}(e^{x})cos(e^{x})e^{x}cos^{3}(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - e^{{x}*{3}}sin(sin(cos(e^{x})))sin^{3}(e^{x})*-3cos^{2}(cos(e^{x}))sin(cos(e^{x}))*-sin(e^{x})e^{x}cos(cos(sin(cos(e^{x})))) - e^{{x}*{3}}sin(sin(cos(e^{x})))sin^{3}(e^{x})cos^{3}(cos(e^{x}))*-sin(cos(sin(cos(e^{x}))))*-sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x} - 3e^{{x}*{2}}e^{x}sin(e^{x})sin(sin(cos(e^{x})))cos(cos(sin(cos(e^{x}))))cos(cos(e^{x})) - e^{{x}*{3}}cos(e^{x})e^{x}sin(sin(cos(e^{x})))cos(cos(sin(cos(e^{x}))))cos(cos(e^{x})) - e^{{x}*{3}}sin(e^{x})cos(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}cos(cos(sin(cos(e^{x}))))cos(cos(e^{x})) - e^{{x}*{3}}sin(e^{x})sin(sin(cos(e^{x})))*-sin(cos(sin(cos(e^{x}))))*-sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}cos(cos(e^{x})) - e^{{x}*{3}}sin(e^{x})sin(sin(cos(e^{x})))cos(cos(sin(cos(e^{x}))))*-sin(cos(e^{x}))*-sin(e^{x})e^{x} + 2*3e^{{x}*{2}}e^{x}sin(e^{x})sin(cos(e^{x}))sin(sin(cos(e^{x})))cos(e^{x})cos(cos(sin(cos(e^{x})))) + 2e^{{x}*{3}}cos(e^{x})e^{x}sin(cos(e^{x}))sin(sin(cos(e^{x})))cos(e^{x})cos(cos(sin(cos(e^{x})))) + 2e^{{x}*{3}}sin(e^{x})cos(cos(e^{x}))*-sin(e^{x})e^{x}sin(sin(cos(e^{x})))cos(e^{x})cos(cos(sin(cos(e^{x})))) + 2e^{{x}*{3}}sin(e^{x})sin(cos(e^{x}))cos(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}cos(e^{x})cos(cos(sin(cos(e^{x})))) + 2e^{{x}*{3}}sin(e^{x})sin(cos(e^{x}))sin(sin(cos(e^{x})))*-sin(e^{x})e^{x}cos(cos(sin(cos(e^{x})))) + 2e^{{x}*{3}}sin(e^{x})sin(cos(e^{x}))sin(sin(cos(e^{x})))cos(e^{x})*-sin(cos(sin(cos(e^{x}))))*-sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x} + 3e^{{x}*{2}}e^{x}sin(sin(cos(e^{x})))sin(cos(e^{x}))sin(e^{x})cos(e^{x})cos(cos(sin(cos(e^{x})))) + e^{{x}*{3}}cos(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}sin(cos(e^{x}))sin(e^{x})cos(e^{x})cos(cos(sin(cos(e^{x})))) + e^{{x}*{3}}sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}sin(e^{x})cos(e^{x})cos(cos(sin(cos(e^{x})))) + e^{{x}*{3}}sin(sin(cos(e^{x})))sin(cos(e^{x}))cos(e^{x})e^{x}cos(e^{x})cos(cos(sin(cos(e^{x})))) + e^{{x}*{3}}sin(sin(cos(e^{x})))sin(cos(e^{x}))sin(e^{x})*-sin(e^{x})e^{x}cos(cos(sin(cos(e^{x})))) + e^{{x}*{3}}sin(sin(cos(e^{x})))sin(cos(e^{x}))sin(e^{x})cos(e^{x})*-sin(cos(sin(cos(e^{x}))))*-sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x} - 3e^{{x}*{2}}e^{x}sin^{3}(e^{x})sin^{3}(sin(cos(e^{x})))cos(cos(sin(cos(e^{x}))))cos^{3}(cos(e^{x})) - e^{{x}*{3}}*3sin^{2}(e^{x})cos(e^{x})e^{x}sin^{3}(sin(cos(e^{x})))cos(cos(sin(cos(e^{x}))))cos^{3}(cos(e^{x})) - e^{{x}*{3}}sin^{3}(e^{x})*3sin^{2}(sin(cos(e^{x})))cos(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}cos(cos(sin(cos(e^{x}))))cos^{3}(cos(e^{x})) - e^{{x}*{3}}sin^{3}(e^{x})sin^{3}(sin(cos(e^{x})))*-sin(cos(sin(cos(e^{x}))))*-sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}cos^{3}(cos(e^{x})) - e^{{x}*{3}}sin^{3}(e^{x})sin^{3}(sin(cos(e^{x})))cos(cos(sin(cos(e^{x}))))*-3cos^{2}(cos(e^{x}))sin(cos(e^{x}))*-sin(e^{x})e^{x} - 2*3e^{{x}*{2}}e^{x}sin(cos(sin(cos(e^{x}))))sin^{3}(e^{x})sin(cos(e^{x}))sin^{2}(sin(cos(e^{x})))cos(cos(e^{x})) - 2e^{{x}*{3}}cos(cos(sin(cos(e^{x}))))*-sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}sin^{3}(e^{x})sin(cos(e^{x}))sin^{2}(sin(cos(e^{x})))cos(cos(e^{x})) - 2e^{{x}*{3}}sin(cos(sin(cos(e^{x}))))*3sin^{2}(e^{x})cos(e^{x})e^{x}sin(cos(e^{x}))sin^{2}(sin(cos(e^{x})))cos(cos(e^{x})) - 2e^{{x}*{3}}sin(cos(sin(cos(e^{x}))))sin^{3}(e^{x})cos(cos(e^{x}))*-sin(e^{x})e^{x}sin^{2}(sin(cos(e^{x})))cos(cos(e^{x})) - 2e^{{x}*{3}}sin(cos(sin(cos(e^{x}))))sin^{3}(e^{x})sin(cos(e^{x}))*2sin(sin(cos(e^{x})))cos(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}cos(cos(e^{x})) - 2e^{{x}*{3}}sin(cos(sin(cos(e^{x}))))sin^{3}(e^{x})sin(cos(e^{x}))sin^{2}(sin(cos(e^{x})))*-sin(cos(e^{x}))*-sin(e^{x})e^{x} + 3*2e^{x}e^{x}sin^{2}(e^{x})sin(cos(e^{x}))sin(sin(cos(e^{x})))cos(cos(sin(cos(e^{x})))) + 3e^{{x}*{2}}*2sin(e^{x})cos(e^{x})e^{x}sin(cos(e^{x}))sin(sin(cos(e^{x})))cos(cos(sin(cos(e^{x})))) + 3e^{{x}*{2}}sin^{2}(e^{x})cos(cos(e^{x}))*-sin(e^{x})e^{x}sin(sin(cos(e^{x})))cos(cos(sin(cos(e^{x})))) + 3e^{{x}*{2}}sin^{2}(e^{x})sin(cos(e^{x}))cos(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}cos(cos(sin(cos(e^{x})))) + 3e^{{x}*{2}}sin^{2}(e^{x})sin(cos(e^{x}))sin(sin(cos(e^{x})))*-sin(cos(sin(cos(e^{x}))))*-sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x} - 3e^{{x}*{2}}e^{x}sin^{3}(e^{x})sin(sin(cos(e^{x})))cos(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - e^{{x}*{3}}*3sin^{2}(e^{x})cos(e^{x})e^{x}sin(sin(cos(e^{x})))cos(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - e^{{x}*{3}}sin^{3}(e^{x})cos(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}cos(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - e^{{x}*{3}}sin^{3}(e^{x})sin(sin(cos(e^{x})))*-sin(cos(e^{x}))*-sin(e^{x})e^{x}cos(cos(sin(cos(e^{x})))) - e^{{x}*{3}}sin^{3}(e^{x})sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(cos(sin(cos(e^{x}))))*-sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x} - 3*2e^{x}e^{x}sin^{2}(e^{x})sin^{2}(sin(cos(e^{x})))sin(cos(sin(cos(e^{x}))))cos^{2}(cos(e^{x})) - 3e^{{x}*{2}}*2sin(e^{x})cos(e^{x})e^{x}sin^{2}(sin(cos(e^{x})))sin(cos(sin(cos(e^{x}))))cos^{2}(cos(e^{x})) - 3e^{{x}*{2}}sin^{2}(e^{x})*2sin(sin(cos(e^{x})))cos(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}sin(cos(sin(cos(e^{x}))))cos^{2}(cos(e^{x})) - 3e^{{x}*{2}}sin^{2}(e^{x})sin^{2}(sin(cos(e^{x})))cos(cos(sin(cos(e^{x}))))*-sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}cos^{2}(cos(e^{x})) - 3e^{{x}*{2}}sin^{2}(e^{x})sin^{2}(sin(cos(e^{x})))sin(cos(sin(cos(e^{x}))))*-2cos(cos(e^{x}))sin(cos(e^{x}))*-sin(e^{x})e^{x} - 3e^{{x}*{2}}e^{x}sin(cos(sin(cos(e^{x}))))sin(cos(e^{x}))sin^{3}(e^{x})sin^{2}(sin(cos(e^{x})))cos(cos(e^{x})) - e^{{x}*{3}}cos(cos(sin(cos(e^{x}))))*-sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}sin(cos(e^{x}))sin^{3}(e^{x})sin^{2}(sin(cos(e^{x})))cos(cos(e^{x})) - e^{{x}*{3}}sin(cos(sin(cos(e^{x}))))cos(cos(e^{x}))*-sin(e^{x})e^{x}sin^{3}(e^{x})sin^{2}(sin(cos(e^{x})))cos(cos(e^{x})) - e^{{x}*{3}}sin(cos(sin(cos(e^{x}))))sin(cos(e^{x}))*3sin^{2}(e^{x})cos(e^{x})e^{x}sin^{2}(sin(cos(e^{x})))cos(cos(e^{x})) - e^{{x}*{3}}sin(cos(sin(cos(e^{x}))))sin(cos(e^{x}))sin^{3}(e^{x})*2sin(sin(cos(e^{x})))cos(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}cos(cos(e^{x})) - e^{{x}*{3}}sin(cos(sin(cos(e^{x}))))sin(cos(e^{x}))sin^{3}(e^{x})sin^{2}(sin(cos(e^{x})))*-sin(cos(e^{x}))*-sin(e^{x})e^{x}\\=& - 10e^{{x}*{4}}sin^{2}(e^{x})sin(cos(e^{x}))cos(e^{x})cos(cos(e^{x}))cos(sin(cos(e^{x})))cos(cos(sin(cos(e^{x})))) - 2e^{{x}*{4}}sin^{2}(e^{x})sin(cos(e^{x}))cos(cos(e^{x}))cos(sin(cos(e^{x})))cos(e^{x})cos(cos(sin(cos(e^{x})))) - 6e^{{x}*{3}}sin(e^{x})cos(sin(cos(e^{x})))cos^{2}(cos(e^{x}))cos(e^{x})cos(cos(sin(cos(e^{x})))) - 3e^{{x}*{4}}sin^{2}(e^{x})sin(cos(e^{x}))cos(e^{x})cos(sin(cos(e^{x})))cos(cos(e^{x}))cos(cos(sin(cos(e^{x})))) + 6e^{{x}*{4}}sin(sin(cos(e^{x})))sin^{2}(e^{x})sin(cos(sin(cos(e^{x}))))cos^{3}(cos(e^{x}))cos(sin(cos(e^{x})))cos(e^{x}) + 2e^{{x}*{4}}sin^{4}(e^{x})sin(sin(cos(e^{x})))sin(cos(sin(cos(e^{x}))))sin(cos(e^{x}))cos^{2}(cos(e^{x}))cos(sin(cos(e^{x}))) - 12e^{{x}*{3}}sin(e^{x})cos(e^{x})cos(sin(cos(e^{x})))cos^{2}(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - 3e^{{x}*{4}}cos^{2}(e^{x})cos(sin(cos(e^{x})))cos^{2}(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - 2e^{{x}*{4}}sin(cos(e^{x}))sin^{2}(e^{x})cos(sin(cos(e^{x})))cos(cos(e^{x}))cos(e^{x})cos(cos(sin(cos(e^{x})))) - e^{{x}*{4}}sin^{2}(e^{x})sin(cos(e^{x}))cos(sin(cos(e^{x})))cos(cos(e^{x}))cos(e^{x})cos(cos(sin(cos(e^{x})))) - 2e^{{x}*{4}}sin(sin(cos(e^{x})))sin^{2}(e^{x})cos(e^{x})cos^{3}(cos(e^{x}))cos(cos(sin(cos(e^{x})))) + e^{{x}*{4}}sin^{2}(e^{x})sin(cos(sin(cos(e^{x}))))sin(sin(cos(e^{x})))cos(e^{x})cos^{3}(cos(e^{x}))cos(sin(cos(e^{x}))) + 3e^{{x}*{4}}sin^{4}(e^{x})cos^{2}(cos(e^{x}))cos(sin(cos(e^{x})))cos(cos(sin(cos(e^{x})))) + 3e^{{x}*{4}}sin^{2}(e^{x})cos(sin(cos(e^{x})))cos^{2}(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - 3e^{{x}*{4}}sin^{2}(e^{x})sin^{3}(sin(cos(e^{x})))cos(cos(sin(cos(e^{x}))))cos^{3}(cos(e^{x}))cos(e^{x}) + 2e^{{x}*{4}}sin^{2}(e^{x})sin(cos(sin(cos(e^{x}))))sin(sin(cos(e^{x})))cos^{3}(cos(e^{x}))cos(e^{x})cos(sin(cos(e^{x}))) + 3e^{{x}*{4}}sin^{2}(e^{x})sin(cos(sin(cos(e^{x}))))sin(sin(cos(e^{x})))cos(e^{x})cos(sin(cos(e^{x})))cos^{3}(cos(e^{x})) + e^{{x}*{4}}sin^{2}(sin(cos(e^{x})))sin^{4}(e^{x})cos^{4}(cos(e^{x}))cos(cos(sin(cos(e^{x}))))cos(sin(cos(e^{x}))) + 6e^{{x}*{4}}sin^{2}(e^{x})sin(sin(cos(e^{x})))sin(cos(sin(cos(e^{x}))))cos(e^{x})cos^{3}(cos(e^{x}))cos(sin(cos(e^{x}))) - 6e^{{x}*{3}}sin(cos(e^{x}))sin^{3}(e^{x})cos(sin(cos(e^{x})))cos(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - 6e^{{x}*{4}}sin^{2}(e^{x})sin(cos(sin(cos(e^{x}))))sin(cos(e^{x}))sin^{2}(sin(cos(e^{x})))cos(e^{x})cos(cos(e^{x})) - 6e^{{x}*{4}}sin(cos(sin(cos(e^{x}))))sin^{2}(e^{x})sin(cos(e^{x}))sin^{2}(sin(cos(e^{x})))cos(cos(e^{x}))cos(e^{x}) + 6e^{{x}*{3}}sin^{3}(e^{x})sin(cos(sin(cos(e^{x}))))sin(sin(cos(e^{x})))cos(sin(cos(e^{x})))cos^{3}(cos(e^{x})) - 18e^{{x}*{3}}sin(e^{x})sin^{2}(sin(cos(e^{x})))sin(cos(sin(cos(e^{x}))))cos(e^{x})cos^{2}(cos(e^{x})) - 3e^{{x}*{4}}sin^{2}(e^{x})sin(sin(cos(e^{x})))cos(e^{x})cos^{3}(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - 12e^{{x}*{3}}sin^{3}(e^{x})sin(cos(e^{x}))cos(cos(e^{x}))cos(sin(cos(e^{x})))cos(cos(sin(cos(e^{x})))) + 6e^{{x}*{4}}sin(cos(sin(cos(e^{x}))))sin^{4}(e^{x})sin(sin(cos(e^{x})))sin(cos(e^{x}))cos(sin(cos(e^{x})))cos^{2}(cos(e^{x})) + 3e^{{x}*{4}}sin(sin(cos(e^{x})))sin^{4}(e^{x})sin(cos(e^{x}))sin(cos(sin(cos(e^{x}))))cos^{2}(cos(e^{x}))cos(sin(cos(e^{x}))) + 7e^{{x}*{2}}sin(sin(cos(e^{x})))cos(e^{x})cos(cos(sin(cos(e^{x}))))cos(cos(e^{x})) + e^{{x}*{4}}sin^{2}(e^{x})cos^{2}(cos(e^{x}))cos(sin(cos(e^{x})))cos(cos(sin(cos(e^{x})))) + 2e^{{x}*{4}}sin^{4}(e^{x})sin^{2}(sin(cos(e^{x})))cos(cos(sin(cos(e^{x}))))cos^{4}(cos(e^{x}))cos(sin(cos(e^{x}))) + 3e^{{x}*{4}}sin^{2}(sin(cos(e^{x})))sin^{4}(e^{x})cos(sin(cos(e^{x})))cos^{4}(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - e^{{x}*{4}}sin(sin(cos(e^{x})))sin^{2}(e^{x})cos^{3}(cos(e^{x}))cos(e^{x})cos(cos(sin(cos(e^{x})))) + e^{{x}*{4}}sin(cos(e^{x}))sin^{4}(e^{x})sin(sin(cos(e^{x})))sin(cos(sin(cos(e^{x}))))cos(sin(cos(e^{x})))cos^{2}(cos(e^{x})) + 12e^{{x}*{3}}sin(sin(cos(e^{x})))sin^{3}(e^{x})sin(cos(sin(cos(e^{x}))))cos^{3}(cos(e^{x}))cos(sin(cos(e^{x}))) - 3e^{{x}*{4}}sin^{2}(e^{x})sin^{3}(sin(cos(e^{x})))cos(e^{x})cos(cos(sin(cos(e^{x}))))cos^{3}(cos(e^{x})) - 6e^{{x}*{4}}sin^{4}(e^{x})sin(cos(e^{x}))sin(sin(cos(e^{x})))cos^{2}(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - 3e^{{x}*{4}}sin^{2}(e^{x})sin(sin(cos(e^{x})))cos(cos(e^{x}))cos(e^{x})cos(cos(sin(cos(e^{x})))) + 6e^{{x}*{4}}sin(cos(sin(cos(e^{x}))))sin^{4}(e^{x})sin(sin(cos(e^{x})))sin(cos(e^{x}))cos^{2}(cos(e^{x}))cos(sin(cos(e^{x}))) - 3e^{{x}*{4}}sin^{2}(e^{x})sin(sin(cos(e^{x})))cos(e^{x})cos(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - 7e^{{x}*{2}}sin^{2}(e^{x})cos(sin(cos(e^{x})))cos^{2}(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - 3e^{{x}*{4}}sin^{4}(e^{x})sin(cos(e^{x}))sin^{3}(sin(cos(e^{x})))cos^{2}(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - 3e^{{x}*{4}}sin^{4}(e^{x})sin^{2}(cos(e^{x}))cos(sin(cos(e^{x})))cos(cos(sin(cos(e^{x})))) - 3e^{{x}*{4}}sin^{2}(sin(cos(e^{x})))sin(cos(sin(cos(e^{x}))))cos^{2}(e^{x})cos^{2}(cos(e^{x})) + 3e^{{x}*{4}}sin(cos(e^{x}))sin(sin(cos(e^{x})))cos^{2}(e^{x})cos(cos(sin(cos(e^{x})))) + e^{{x}*{4}}sin^{4}(e^{x})cos^{4}(cos(e^{x}))cos(sin(cos(e^{x})))cos(cos(sin(cos(e^{x})))) - e^{{x}*{4}}sin(cos(sin(cos(e^{x}))))sin^{4}(e^{x})cos^{2}(sin(cos(e^{x})))cos^{4}(cos(e^{x})) + 12e^{{x}*{3}}sin(e^{x})sin(cos(e^{x}))sin(sin(cos(e^{x})))cos(e^{x})cos(cos(sin(cos(e^{x})))) + 6e^{{x}*{3}}sin(sin(cos(e^{x})))sin(cos(e^{x}))sin(e^{x})cos(e^{x})cos(cos(sin(cos(e^{x})))) - e^{{x}*{4}}sin(sin(cos(e^{x})))cos(e^{x})cos(cos(sin(cos(e^{x}))))cos(cos(e^{x})) - 3e^{{x}*{4}}sin^{4}(e^{x})sin^{3}(sin(cos(e^{x})))sin(cos(e^{x}))cos^{2}(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - 4e^{{x}*{4}}sin^{2}(e^{x})sin(cos(e^{x}))sin(sin(cos(e^{x})))cos(cos(sin(cos(e^{x})))) - 7e^{{x}*{2}}sin^{2}(e^{x})sin^{2}(sin(cos(e^{x})))sin(cos(sin(cos(e^{x}))))cos^{2}(cos(e^{x})) - 6e^{{x}*{3}}sin(sin(cos(e^{x})))sin^{3}(e^{x})cos^{3}(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - 2e^{{x}*{4}}sin^{4}(e^{x})sin(cos(sin(cos(e^{x}))))cos^{2}(sin(cos(e^{x})))cos^{4}(cos(e^{x})) - 3e^{{x}*{4}}sin(cos(e^{x}))sin(cos(sin(cos(e^{x}))))sin^{2}(e^{x})sin^{2}(sin(cos(e^{x})))cos(e^{x})cos(cos(e^{x})) - 3e^{{x}*{4}}sin(cos(sin(cos(e^{x}))))sin(cos(e^{x}))sin^{2}(e^{x})sin^{2}(sin(cos(e^{x})))cos(e^{x})cos(cos(e^{x})) + 3e^{{x}*{4}}sin^{2}(sin(cos(e^{x})))sin^{4}(e^{x})sin(cos(sin(cos(e^{x}))))cos^{4}(cos(e^{x})) - 6e^{{x}*{3}}sin(e^{x})sin(sin(cos(e^{x})))cos(cos(sin(cos(e^{x}))))cos(cos(e^{x})) - 6e^{{x}*{3}}sin^{3}(e^{x})sin^{3}(sin(cos(e^{x})))cos(cos(sin(cos(e^{x}))))cos^{3}(cos(e^{x})) + e^{x}sin(e^{x})sin(sin(cos(e^{x})))cos(cos(sin(cos(e^{x}))))cos(cos(e^{x})) + e^{{x}*{4}}sin^{4}(e^{x})sin^{4}(sin(cos(e^{x})))sin(cos(sin(cos(e^{x}))))cos^{4}(cos(e^{x})) + 7e^{{x}*{2}}sin^{2}(e^{x})sin(cos(e^{x}))sin(sin(cos(e^{x})))cos(cos(sin(cos(e^{x})))) - 12e^{{x}*{3}}sin(cos(sin(cos(e^{x}))))sin^{3}(e^{x})sin(cos(e^{x}))sin^{2}(sin(cos(e^{x})))cos(cos(e^{x})) + 4e^{{x}*{4}}sin^{2}(e^{x})sin^{2}(sin(cos(e^{x})))sin(cos(sin(cos(e^{x}))))cos^{2}(cos(e^{x})) + 2e^{{x}*{4}}sin(cos(sin(cos(e^{x}))))sin^{4}(e^{x})sin^{2}(sin(cos(e^{x})))cos^{2}(cos(e^{x})) + e^{{x}*{4}}sin^{4}(e^{x})sin^{2}(sin(cos(e^{x})))sin(cos(sin(cos(e^{x}))))cos^{4}(cos(e^{x})) - 6e^{{x}*{3}}sin(cos(sin(cos(e^{x}))))sin(cos(e^{x}))sin^{3}(e^{x})sin^{2}(sin(cos(e^{x})))cos(cos(e^{x})) - 6e^{{x}*{3}}sin^{3}(e^{x})sin(sin(cos(e^{x})))cos(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - 2e^{{x}*{4}}sin^{4}(e^{x})sin^{2}(cos(e^{x}))sin^{2}(sin(cos(e^{x})))sin(cos(sin(cos(e^{x})))) + e^{{x}*{4}}sin^{4}(e^{x})cos(sin(cos(e^{x})))cos^{2}(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - e^{{x}*{4}}sin^{4}(e^{x})sin(cos(e^{x}))sin(sin(cos(e^{x})))cos(cos(sin(cos(e^{x})))) + e^{{x}*{4}}sin^{4}(e^{x})sin^{2}(sin(cos(e^{x})))sin(cos(sin(cos(e^{x}))))cos^{2}(cos(e^{x})) + e^{{x}*{4}}sin^{4}(e^{x})sin(cos(sin(cos(e^{x}))))sin^{2}(sin(cos(e^{x})))cos^{2}(cos(e^{x})) - e^{{x}*{4}}sin^{2}(cos(e^{x}))sin^{4}(e^{x})sin^{2}(sin(cos(e^{x})))sin(cos(sin(cos(e^{x}))))\\ \end{split}\end{equation} \]
注意，变量是区分大小写的。
\[ \begin{equation}\begin{split}【1/1】求函数sin(cos(sin(cos(e^{x})))) 关于 x 的 4 阶导数：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &\color{blue}{函数的第 1 阶导数：}\\&\frac{d\left( sin(cos(sin(cos(e^{x}))))\right)}{dx}\\=&cos(cos(sin(cos(e^{x}))))*-sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}\\=&e^{x}sin(e^{x})sin(sin(cos(e^{x})))cos(cos(sin(cos(e^{x}))))cos(cos(e^{x}))\\\\ &\color{blue}{函数的第 2 阶导数：} \\&\frac{d\left( e^{x}sin(e^{x})sin(sin(cos(e^{x})))cos(cos(sin(cos(e^{x}))))cos(cos(e^{x}))\right)}{dx}\\=&e^{x}sin(e^{x})sin(sin(cos(e^{x})))cos(cos(sin(cos(e^{x}))))cos(cos(e^{x})) + e^{x}cos(e^{x})e^{x}sin(sin(cos(e^{x})))cos(cos(sin(cos(e^{x}))))cos(cos(e^{x})) + e^{x}sin(e^{x})cos(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}cos(cos(sin(cos(e^{x}))))cos(cos(e^{x})) + e^{x}sin(e^{x})sin(sin(cos(e^{x})))*-sin(cos(sin(cos(e^{x}))))*-sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}cos(cos(e^{x})) + e^{x}sin(e^{x})sin(sin(cos(e^{x})))cos(cos(sin(cos(e^{x}))))*-sin(cos(e^{x}))*-sin(e^{x})e^{x}\\=&e^{x}sin(e^{x})sin(sin(cos(e^{x})))cos(cos(sin(cos(e^{x}))))cos(cos(e^{x})) + e^{{x}*{2}}sin(sin(cos(e^{x})))cos(e^{x})cos(cos(sin(cos(e^{x}))))cos(cos(e^{x})) - e^{{x}*{2}}sin^{2}(e^{x})cos(sin(cos(e^{x})))cos^{2}(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - e^{{x}*{2}}sin^{2}(e^{x})sin^{2}(sin(cos(e^{x})))sin(cos(sin(cos(e^{x}))))cos^{2}(cos(e^{x})) + e^{{x}*{2}}sin^{2}(e^{x})sin(cos(e^{x}))sin(sin(cos(e^{x})))cos(cos(sin(cos(e^{x}))))\\\\ &\color{blue}{函数的第 3 阶导数：} \\&\frac{d\left( e^{x}sin(e^{x})sin(sin(cos(e^{x})))cos(cos(sin(cos(e^{x}))))cos(cos(e^{x})) + e^{{x}*{2}}sin(sin(cos(e^{x})))cos(e^{x})cos(cos(sin(cos(e^{x}))))cos(cos(e^{x})) - e^{{x}*{2}}sin^{2}(e^{x})cos(sin(cos(e^{x})))cos^{2}(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - e^{{x}*{2}}sin^{2}(e^{x})sin^{2}(sin(cos(e^{x})))sin(cos(sin(cos(e^{x}))))cos^{2}(cos(e^{x})) + e^{{x}*{2}}sin^{2}(e^{x})sin(cos(e^{x}))sin(sin(cos(e^{x})))cos(cos(sin(cos(e^{x}))))\right)}{dx}\\=&e^{x}sin(e^{x})sin(sin(cos(e^{x})))cos(cos(sin(cos(e^{x}))))cos(cos(e^{x})) + e^{x}cos(e^{x})e^{x}sin(sin(cos(e^{x})))cos(cos(sin(cos(e^{x}))))cos(cos(e^{x})) + e^{x}sin(e^{x})cos(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}cos(cos(sin(cos(e^{x}))))cos(cos(e^{x})) + e^{x}sin(e^{x})sin(sin(cos(e^{x})))*-sin(cos(sin(cos(e^{x}))))*-sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}cos(cos(e^{x})) + e^{x}sin(e^{x})sin(sin(cos(e^{x})))cos(cos(sin(cos(e^{x}))))*-sin(cos(e^{x}))*-sin(e^{x})e^{x} + 2e^{x}e^{x}sin(sin(cos(e^{x})))cos(e^{x})cos(cos(sin(cos(e^{x}))))cos(cos(e^{x})) + e^{{x}*{2}}cos(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}cos(e^{x})cos(cos(sin(cos(e^{x}))))cos(cos(e^{x})) + e^{{x}*{2}}sin(sin(cos(e^{x})))*-sin(e^{x})e^{x}cos(cos(sin(cos(e^{x}))))cos(cos(e^{x})) + e^{{x}*{2}}sin(sin(cos(e^{x})))cos(e^{x})*-sin(cos(sin(cos(e^{x}))))*-sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}cos(cos(e^{x})) + e^{{x}*{2}}sin(sin(cos(e^{x})))cos(e^{x})cos(cos(sin(cos(e^{x}))))*-sin(cos(e^{x}))*-sin(e^{x})e^{x} - 2e^{x}e^{x}sin^{2}(e^{x})cos(sin(cos(e^{x})))cos^{2}(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - e^{{x}*{2}}*2sin(e^{x})cos(e^{x})e^{x}cos(sin(cos(e^{x})))cos^{2}(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - e^{{x}*{2}}sin^{2}(e^{x})*-sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}cos^{2}(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - e^{{x}*{2}}sin^{2}(e^{x})cos(sin(cos(e^{x})))*-2cos(cos(e^{x}))sin(cos(e^{x}))*-sin(e^{x})e^{x}cos(cos(sin(cos(e^{x})))) - e^{{x}*{2}}sin^{2}(e^{x})cos(sin(cos(e^{x})))cos^{2}(cos(e^{x}))*-sin(cos(sin(cos(e^{x}))))*-sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x} - 2e^{x}e^{x}sin^{2}(e^{x})sin^{2}(sin(cos(e^{x})))sin(cos(sin(cos(e^{x}))))cos^{2}(cos(e^{x})) - e^{{x}*{2}}*2sin(e^{x})cos(e^{x})e^{x}sin^{2}(sin(cos(e^{x})))sin(cos(sin(cos(e^{x}))))cos^{2}(cos(e^{x})) - e^{{x}*{2}}sin^{2}(e^{x})*2sin(sin(cos(e^{x})))cos(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}sin(cos(sin(cos(e^{x}))))cos^{2}(cos(e^{x})) - e^{{x}*{2}}sin^{2}(e^{x})sin^{2}(sin(cos(e^{x})))cos(cos(sin(cos(e^{x}))))*-sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}cos^{2}(cos(e^{x})) - e^{{x}*{2}}sin^{2}(e^{x})sin^{2}(sin(cos(e^{x})))sin(cos(sin(cos(e^{x}))))*-2cos(cos(e^{x}))sin(cos(e^{x}))*-sin(e^{x})e^{x} + 2e^{x}e^{x}sin^{2}(e^{x})sin(cos(e^{x}))sin(sin(cos(e^{x})))cos(cos(sin(cos(e^{x})))) + e^{{x}*{2}}*2sin(e^{x})cos(e^{x})e^{x}sin(cos(e^{x}))sin(sin(cos(e^{x})))cos(cos(sin(cos(e^{x})))) + e^{{x}*{2}}sin^{2}(e^{x})cos(cos(e^{x}))*-sin(e^{x})e^{x}sin(sin(cos(e^{x})))cos(cos(sin(cos(e^{x})))) + e^{{x}*{2}}sin^{2}(e^{x})sin(cos(e^{x}))cos(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}cos(cos(sin(cos(e^{x})))) + e^{{x}*{2}}sin^{2}(e^{x})sin(cos(e^{x}))sin(sin(cos(e^{x})))*-sin(cos(sin(cos(e^{x}))))*-sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}\\=& - 2e^{{x}*{3}}sin^{3}(e^{x})sin(cos(e^{x}))cos(cos(e^{x}))cos(sin(cos(e^{x})))cos(cos(sin(cos(e^{x})))) - e^{{x}*{3}}sin(e^{x})cos(sin(cos(e^{x})))cos^{2}(cos(e^{x}))cos(e^{x})cos(cos(sin(cos(e^{x})))) - 2e^{{x}*{3}}sin(e^{x})cos(e^{x})cos(sin(cos(e^{x})))cos^{2}(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - 3e^{{x}*{3}}sin(e^{x})sin^{2}(sin(cos(e^{x})))sin(cos(sin(cos(e^{x}))))cos(e^{x})cos^{2}(cos(e^{x})) + e^{{x}*{3}}sin^{3}(e^{x})sin(cos(sin(cos(e^{x}))))sin(sin(cos(e^{x})))cos(sin(cos(e^{x})))cos^{3}(cos(e^{x})) + 3e^{{x}*{2}}sin(sin(cos(e^{x})))cos(e^{x})cos(cos(sin(cos(e^{x}))))cos(cos(e^{x})) - e^{{x}*{3}}sin(cos(e^{x}))sin^{3}(e^{x})cos(sin(cos(e^{x})))cos(cos(e^{x}))cos(cos(sin(cos(e^{x})))) + 2e^{{x}*{3}}sin(sin(cos(e^{x})))sin^{3}(e^{x})sin(cos(sin(cos(e^{x}))))cos^{3}(cos(e^{x}))cos(sin(cos(e^{x}))) + e^{x}sin(e^{x})sin(sin(cos(e^{x})))cos(cos(sin(cos(e^{x}))))cos(cos(e^{x})) - 3e^{{x}*{2}}sin^{2}(e^{x})cos(sin(cos(e^{x})))cos^{2}(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - e^{{x}*{3}}sin(sin(cos(e^{x})))sin^{3}(e^{x})cos^{3}(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - e^{{x}*{3}}sin(e^{x})sin(sin(cos(e^{x})))cos(cos(sin(cos(e^{x}))))cos(cos(e^{x})) + 2e^{{x}*{3}}sin(e^{x})sin(cos(e^{x}))sin(sin(cos(e^{x})))cos(e^{x})cos(cos(sin(cos(e^{x})))) + e^{{x}*{3}}sin(sin(cos(e^{x})))sin(cos(e^{x}))sin(e^{x})cos(e^{x})cos(cos(sin(cos(e^{x})))) - e^{{x}*{3}}sin^{3}(e^{x})sin^{3}(sin(cos(e^{x})))cos(cos(sin(cos(e^{x}))))cos^{3}(cos(e^{x})) - 2e^{{x}*{3}}sin(cos(sin(cos(e^{x}))))sin^{3}(e^{x})sin(cos(e^{x}))sin^{2}(sin(cos(e^{x})))cos(cos(e^{x})) + 3e^{{x}*{2}}sin^{2}(e^{x})sin(cos(e^{x}))sin(sin(cos(e^{x})))cos(cos(sin(cos(e^{x})))) - e^{{x}*{3}}sin^{3}(e^{x})sin(sin(cos(e^{x})))cos(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - 3e^{{x}*{2}}sin^{2}(e^{x})sin^{2}(sin(cos(e^{x})))sin(cos(sin(cos(e^{x}))))cos^{2}(cos(e^{x})) - e^{{x}*{3}}sin(cos(sin(cos(e^{x}))))sin(cos(e^{x}))sin^{3}(e^{x})sin^{2}(sin(cos(e^{x})))cos(cos(e^{x}))\\\\ &\color{blue}{函数的第 4 阶导数：} \\&\frac{d\left( - 2e^{{x}*{3}}sin^{3}(e^{x})sin(cos(e^{x}))cos(cos(e^{x}))cos(sin(cos(e^{x})))cos(cos(sin(cos(e^{x})))) - e^{{x}*{3}}sin(e^{x})cos(sin(cos(e^{x})))cos^{2}(cos(e^{x}))cos(e^{x})cos(cos(sin(cos(e^{x})))) - 2e^{{x}*{3}}sin(e^{x})cos(e^{x})cos(sin(cos(e^{x})))cos^{2}(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - 3e^{{x}*{3}}sin(e^{x})sin^{2}(sin(cos(e^{x})))sin(cos(sin(cos(e^{x}))))cos(e^{x})cos^{2}(cos(e^{x})) + e^{{x}*{3}}sin^{3}(e^{x})sin(cos(sin(cos(e^{x}))))sin(sin(cos(e^{x})))cos(sin(cos(e^{x})))cos^{3}(cos(e^{x})) + 3e^{{x}*{2}}sin(sin(cos(e^{x})))cos(e^{x})cos(cos(sin(cos(e^{x}))))cos(cos(e^{x})) - e^{{x}*{3}}sin(cos(e^{x}))sin^{3}(e^{x})cos(sin(cos(e^{x})))cos(cos(e^{x}))cos(cos(sin(cos(e^{x})))) + 2e^{{x}*{3}}sin(sin(cos(e^{x})))sin^{3}(e^{x})sin(cos(sin(cos(e^{x}))))cos^{3}(cos(e^{x}))cos(sin(cos(e^{x}))) + e^{x}sin(e^{x})sin(sin(cos(e^{x})))cos(cos(sin(cos(e^{x}))))cos(cos(e^{x})) - 3e^{{x}*{2}}sin^{2}(e^{x})cos(sin(cos(e^{x})))cos^{2}(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - e^{{x}*{3}}sin(sin(cos(e^{x})))sin^{3}(e^{x})cos^{3}(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - e^{{x}*{3}}sin(e^{x})sin(sin(cos(e^{x})))cos(cos(sin(cos(e^{x}))))cos(cos(e^{x})) + 2e^{{x}*{3}}sin(e^{x})sin(cos(e^{x}))sin(sin(cos(e^{x})))cos(e^{x})cos(cos(sin(cos(e^{x})))) + e^{{x}*{3}}sin(sin(cos(e^{x})))sin(cos(e^{x}))sin(e^{x})cos(e^{x})cos(cos(sin(cos(e^{x})))) - e^{{x}*{3}}sin^{3}(e^{x})sin^{3}(sin(cos(e^{x})))cos(cos(sin(cos(e^{x}))))cos^{3}(cos(e^{x})) - 2e^{{x}*{3}}sin(cos(sin(cos(e^{x}))))sin^{3}(e^{x})sin(cos(e^{x}))sin^{2}(sin(cos(e^{x})))cos(cos(e^{x})) + 3e^{{x}*{2}}sin^{2}(e^{x})sin(cos(e^{x}))sin(sin(cos(e^{x})))cos(cos(sin(cos(e^{x})))) - e^{{x}*{3}}sin^{3}(e^{x})sin(sin(cos(e^{x})))cos(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - 3e^{{x}*{2}}sin^{2}(e^{x})sin^{2}(sin(cos(e^{x})))sin(cos(sin(cos(e^{x}))))cos^{2}(cos(e^{x})) - e^{{x}*{3}}sin(cos(sin(cos(e^{x}))))sin(cos(e^{x}))sin^{3}(e^{x})sin^{2}(sin(cos(e^{x})))cos(cos(e^{x}))\right)}{dx}\\=& - 2*3e^{{x}*{2}}e^{x}sin^{3}(e^{x})sin(cos(e^{x}))cos(cos(e^{x}))cos(sin(cos(e^{x})))cos(cos(sin(cos(e^{x})))) - 2e^{{x}*{3}}*3sin^{2}(e^{x})cos(e^{x})e^{x}sin(cos(e^{x}))cos(cos(e^{x}))cos(sin(cos(e^{x})))cos(cos(sin(cos(e^{x})))) - 2e^{{x}*{3}}sin^{3}(e^{x})cos(cos(e^{x}))*-sin(e^{x})e^{x}cos(cos(e^{x}))cos(sin(cos(e^{x})))cos(cos(sin(cos(e^{x})))) - 2e^{{x}*{3}}sin^{3}(e^{x})sin(cos(e^{x}))*-sin(cos(e^{x}))*-sin(e^{x})e^{x}cos(sin(cos(e^{x})))cos(cos(sin(cos(e^{x})))) - 2e^{{x}*{3}}sin^{3}(e^{x})sin(cos(e^{x}))cos(cos(e^{x}))*-sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}cos(cos(sin(cos(e^{x})))) - 2e^{{x}*{3}}sin^{3}(e^{x})sin(cos(e^{x}))cos(cos(e^{x}))cos(sin(cos(e^{x})))*-sin(cos(sin(cos(e^{x}))))*-sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x} - 3e^{{x}*{2}}e^{x}sin(e^{x})cos(sin(cos(e^{x})))cos^{2}(cos(e^{x}))cos(e^{x})cos(cos(sin(cos(e^{x})))) - e^{{x}*{3}}cos(e^{x})e^{x}cos(sin(cos(e^{x})))cos^{2}(cos(e^{x}))cos(e^{x})cos(cos(sin(cos(e^{x})))) - e^{{x}*{3}}sin(e^{x})*-sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}cos^{2}(cos(e^{x}))cos(e^{x})cos(cos(sin(cos(e^{x})))) - e^{{x}*{3}}sin(e^{x})cos(sin(cos(e^{x})))*-2cos(cos(e^{x}))sin(cos(e^{x}))*-sin(e^{x})e^{x}cos(e^{x})cos(cos(sin(cos(e^{x})))) - e^{{x}*{3}}sin(e^{x})cos(sin(cos(e^{x})))cos^{2}(cos(e^{x}))*-sin(e^{x})e^{x}cos(cos(sin(cos(e^{x})))) - e^{{x}*{3}}sin(e^{x})cos(sin(cos(e^{x})))cos^{2}(cos(e^{x}))cos(e^{x})*-sin(cos(sin(cos(e^{x}))))*-sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x} - 2*3e^{{x}*{2}}e^{x}sin(e^{x})cos(e^{x})cos(sin(cos(e^{x})))cos^{2}(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - 2e^{{x}*{3}}cos(e^{x})e^{x}cos(e^{x})cos(sin(cos(e^{x})))cos^{2}(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - 2e^{{x}*{3}}sin(e^{x})*-sin(e^{x})e^{x}cos(sin(cos(e^{x})))cos^{2}(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - 2e^{{x}*{3}}sin(e^{x})cos(e^{x})*-sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}cos^{2}(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - 2e^{{x}*{3}}sin(e^{x})cos(e^{x})cos(sin(cos(e^{x})))*-2cos(cos(e^{x}))sin(cos(e^{x}))*-sin(e^{x})e^{x}cos(cos(sin(cos(e^{x})))) - 2e^{{x}*{3}}sin(e^{x})cos(e^{x})cos(sin(cos(e^{x})))cos^{2}(cos(e^{x}))*-sin(cos(sin(cos(e^{x}))))*-sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x} - 3*3e^{{x}*{2}}e^{x}sin(e^{x})sin^{2}(sin(cos(e^{x})))sin(cos(sin(cos(e^{x}))))cos(e^{x})cos^{2}(cos(e^{x})) - 3e^{{x}*{3}}cos(e^{x})e^{x}sin^{2}(sin(cos(e^{x})))sin(cos(sin(cos(e^{x}))))cos(e^{x})cos^{2}(cos(e^{x})) - 3e^{{x}*{3}}sin(e^{x})*2sin(sin(cos(e^{x})))cos(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}sin(cos(sin(cos(e^{x}))))cos(e^{x})cos^{2}(cos(e^{x})) - 3e^{{x}*{3}}sin(e^{x})sin^{2}(sin(cos(e^{x})))cos(cos(sin(cos(e^{x}))))*-sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}cos(e^{x})cos^{2}(cos(e^{x})) - 3e^{{x}*{3}}sin(e^{x})sin^{2}(sin(cos(e^{x})))sin(cos(sin(cos(e^{x}))))*-sin(e^{x})e^{x}cos^{2}(cos(e^{x})) - 3e^{{x}*{3}}sin(e^{x})sin^{2}(sin(cos(e^{x})))sin(cos(sin(cos(e^{x}))))cos(e^{x})*-2cos(cos(e^{x}))sin(cos(e^{x}))*-sin(e^{x})e^{x} + 3e^{{x}*{2}}e^{x}sin^{3}(e^{x})sin(cos(sin(cos(e^{x}))))sin(sin(cos(e^{x})))cos(sin(cos(e^{x})))cos^{3}(cos(e^{x})) + e^{{x}*{3}}*3sin^{2}(e^{x})cos(e^{x})e^{x}sin(cos(sin(cos(e^{x}))))sin(sin(cos(e^{x})))cos(sin(cos(e^{x})))cos^{3}(cos(e^{x})) + e^{{x}*{3}}sin^{3}(e^{x})cos(cos(sin(cos(e^{x}))))*-sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}sin(sin(cos(e^{x})))cos(sin(cos(e^{x})))cos^{3}(cos(e^{x})) + e^{{x}*{3}}sin^{3}(e^{x})sin(cos(sin(cos(e^{x}))))cos(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}cos(sin(cos(e^{x})))cos^{3}(cos(e^{x})) + e^{{x}*{3}}sin^{3}(e^{x})sin(cos(sin(cos(e^{x}))))sin(sin(cos(e^{x})))*-sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}cos^{3}(cos(e^{x})) + e^{{x}*{3}}sin^{3}(e^{x})sin(cos(sin(cos(e^{x}))))sin(sin(cos(e^{x})))cos(sin(cos(e^{x})))*-3cos^{2}(cos(e^{x}))sin(cos(e^{x}))*-sin(e^{x})e^{x} + 3*2e^{x}e^{x}sin(sin(cos(e^{x})))cos(e^{x})cos(cos(sin(cos(e^{x}))))cos(cos(e^{x})) + 3e^{{x}*{2}}cos(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}cos(e^{x})cos(cos(sin(cos(e^{x}))))cos(cos(e^{x})) + 3e^{{x}*{2}}sin(sin(cos(e^{x})))*-sin(e^{x})e^{x}cos(cos(sin(cos(e^{x}))))cos(cos(e^{x})) + 3e^{{x}*{2}}sin(sin(cos(e^{x})))cos(e^{x})*-sin(cos(sin(cos(e^{x}))))*-sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}cos(cos(e^{x})) + 3e^{{x}*{2}}sin(sin(cos(e^{x})))cos(e^{x})cos(cos(sin(cos(e^{x}))))*-sin(cos(e^{x}))*-sin(e^{x})e^{x} - 3e^{{x}*{2}}e^{x}sin(cos(e^{x}))sin^{3}(e^{x})cos(sin(cos(e^{x})))cos(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - e^{{x}*{3}}cos(cos(e^{x}))*-sin(e^{x})e^{x}sin^{3}(e^{x})cos(sin(cos(e^{x})))cos(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - e^{{x}*{3}}sin(cos(e^{x}))*3sin^{2}(e^{x})cos(e^{x})e^{x}cos(sin(cos(e^{x})))cos(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - e^{{x}*{3}}sin(cos(e^{x}))sin^{3}(e^{x})*-sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}cos(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - e^{{x}*{3}}sin(cos(e^{x}))sin^{3}(e^{x})cos(sin(cos(e^{x})))*-sin(cos(e^{x}))*-sin(e^{x})e^{x}cos(cos(sin(cos(e^{x})))) - e^{{x}*{3}}sin(cos(e^{x}))sin^{3}(e^{x})cos(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(cos(sin(cos(e^{x}))))*-sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x} + 2*3e^{{x}*{2}}e^{x}sin(sin(cos(e^{x})))sin^{3}(e^{x})sin(cos(sin(cos(e^{x}))))cos^{3}(cos(e^{x}))cos(sin(cos(e^{x}))) + 2e^{{x}*{3}}cos(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}sin^{3}(e^{x})sin(cos(sin(cos(e^{x}))))cos^{3}(cos(e^{x}))cos(sin(cos(e^{x}))) + 2e^{{x}*{3}}sin(sin(cos(e^{x})))*3sin^{2}(e^{x})cos(e^{x})e^{x}sin(cos(sin(cos(e^{x}))))cos^{3}(cos(e^{x}))cos(sin(cos(e^{x}))) + 2e^{{x}*{3}}sin(sin(cos(e^{x})))sin^{3}(e^{x})cos(cos(sin(cos(e^{x}))))*-sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}cos^{3}(cos(e^{x}))cos(sin(cos(e^{x}))) + 2e^{{x}*{3}}sin(sin(cos(e^{x})))sin^{3}(e^{x})sin(cos(sin(cos(e^{x}))))*-3cos^{2}(cos(e^{x}))sin(cos(e^{x}))*-sin(e^{x})e^{x}cos(sin(cos(e^{x}))) + 2e^{{x}*{3}}sin(sin(cos(e^{x})))sin^{3}(e^{x})sin(cos(sin(cos(e^{x}))))cos^{3}(cos(e^{x}))*-sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x} + e^{x}sin(e^{x})sin(sin(cos(e^{x})))cos(cos(sin(cos(e^{x}))))cos(cos(e^{x})) + e^{x}cos(e^{x})e^{x}sin(sin(cos(e^{x})))cos(cos(sin(cos(e^{x}))))cos(cos(e^{x})) + e^{x}sin(e^{x})cos(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}cos(cos(sin(cos(e^{x}))))cos(cos(e^{x})) + e^{x}sin(e^{x})sin(sin(cos(e^{x})))*-sin(cos(sin(cos(e^{x}))))*-sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}cos(cos(e^{x})) + e^{x}sin(e^{x})sin(sin(cos(e^{x})))cos(cos(sin(cos(e^{x}))))*-sin(cos(e^{x}))*-sin(e^{x})e^{x} - 3*2e^{x}e^{x}sin^{2}(e^{x})cos(sin(cos(e^{x})))cos^{2}(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - 3e^{{x}*{2}}*2sin(e^{x})cos(e^{x})e^{x}cos(sin(cos(e^{x})))cos^{2}(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - 3e^{{x}*{2}}sin^{2}(e^{x})*-sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}cos^{2}(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - 3e^{{x}*{2}}sin^{2}(e^{x})cos(sin(cos(e^{x})))*-2cos(cos(e^{x}))sin(cos(e^{x}))*-sin(e^{x})e^{x}cos(cos(sin(cos(e^{x})))) - 3e^{{x}*{2}}sin^{2}(e^{x})cos(sin(cos(e^{x})))cos^{2}(cos(e^{x}))*-sin(cos(sin(cos(e^{x}))))*-sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x} - 3e^{{x}*{2}}e^{x}sin(sin(cos(e^{x})))sin^{3}(e^{x})cos^{3}(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - e^{{x}*{3}}cos(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}sin^{3}(e^{x})cos^{3}(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - e^{{x}*{3}}sin(sin(cos(e^{x})))*3sin^{2}(e^{x})cos(e^{x})e^{x}cos^{3}(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - e^{{x}*{3}}sin(sin(cos(e^{x})))sin^{3}(e^{x})*-3cos^{2}(cos(e^{x}))sin(cos(e^{x}))*-sin(e^{x})e^{x}cos(cos(sin(cos(e^{x})))) - e^{{x}*{3}}sin(sin(cos(e^{x})))sin^{3}(e^{x})cos^{3}(cos(e^{x}))*-sin(cos(sin(cos(e^{x}))))*-sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x} - 3e^{{x}*{2}}e^{x}sin(e^{x})sin(sin(cos(e^{x})))cos(cos(sin(cos(e^{x}))))cos(cos(e^{x})) - e^{{x}*{3}}cos(e^{x})e^{x}sin(sin(cos(e^{x})))cos(cos(sin(cos(e^{x}))))cos(cos(e^{x})) - e^{{x}*{3}}sin(e^{x})cos(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}cos(cos(sin(cos(e^{x}))))cos(cos(e^{x})) - e^{{x}*{3}}sin(e^{x})sin(sin(cos(e^{x})))*-sin(cos(sin(cos(e^{x}))))*-sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}cos(cos(e^{x})) - e^{{x}*{3}}sin(e^{x})sin(sin(cos(e^{x})))cos(cos(sin(cos(e^{x}))))*-sin(cos(e^{x}))*-sin(e^{x})e^{x} + 2*3e^{{x}*{2}}e^{x}sin(e^{x})sin(cos(e^{x}))sin(sin(cos(e^{x})))cos(e^{x})cos(cos(sin(cos(e^{x})))) + 2e^{{x}*{3}}cos(e^{x})e^{x}sin(cos(e^{x}))sin(sin(cos(e^{x})))cos(e^{x})cos(cos(sin(cos(e^{x})))) + 2e^{{x}*{3}}sin(e^{x})cos(cos(e^{x}))*-sin(e^{x})e^{x}sin(sin(cos(e^{x})))cos(e^{x})cos(cos(sin(cos(e^{x})))) + 2e^{{x}*{3}}sin(e^{x})sin(cos(e^{x}))cos(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}cos(e^{x})cos(cos(sin(cos(e^{x})))) + 2e^{{x}*{3}}sin(e^{x})sin(cos(e^{x}))sin(sin(cos(e^{x})))*-sin(e^{x})e^{x}cos(cos(sin(cos(e^{x})))) + 2e^{{x}*{3}}sin(e^{x})sin(cos(e^{x}))sin(sin(cos(e^{x})))cos(e^{x})*-sin(cos(sin(cos(e^{x}))))*-sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x} + 3e^{{x}*{2}}e^{x}sin(sin(cos(e^{x})))sin(cos(e^{x}))sin(e^{x})cos(e^{x})cos(cos(sin(cos(e^{x})))) + e^{{x}*{3}}cos(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}sin(cos(e^{x}))sin(e^{x})cos(e^{x})cos(cos(sin(cos(e^{x})))) + e^{{x}*{3}}sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}sin(e^{x})cos(e^{x})cos(cos(sin(cos(e^{x})))) + e^{{x}*{3}}sin(sin(cos(e^{x})))sin(cos(e^{x}))cos(e^{x})e^{x}cos(e^{x})cos(cos(sin(cos(e^{x})))) + e^{{x}*{3}}sin(sin(cos(e^{x})))sin(cos(e^{x}))sin(e^{x})*-sin(e^{x})e^{x}cos(cos(sin(cos(e^{x})))) + e^{{x}*{3}}sin(sin(cos(e^{x})))sin(cos(e^{x}))sin(e^{x})cos(e^{x})*-sin(cos(sin(cos(e^{x}))))*-sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x} - 3e^{{x}*{2}}e^{x}sin^{3}(e^{x})sin^{3}(sin(cos(e^{x})))cos(cos(sin(cos(e^{x}))))cos^{3}(cos(e^{x})) - e^{{x}*{3}}*3sin^{2}(e^{x})cos(e^{x})e^{x}sin^{3}(sin(cos(e^{x})))cos(cos(sin(cos(e^{x}))))cos^{3}(cos(e^{x})) - e^{{x}*{3}}sin^{3}(e^{x})*3sin^{2}(sin(cos(e^{x})))cos(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}cos(cos(sin(cos(e^{x}))))cos^{3}(cos(e^{x})) - e^{{x}*{3}}sin^{3}(e^{x})sin^{3}(sin(cos(e^{x})))*-sin(cos(sin(cos(e^{x}))))*-sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}cos^{3}(cos(e^{x})) - e^{{x}*{3}}sin^{3}(e^{x})sin^{3}(sin(cos(e^{x})))cos(cos(sin(cos(e^{x}))))*-3cos^{2}(cos(e^{x}))sin(cos(e^{x}))*-sin(e^{x})e^{x} - 2*3e^{{x}*{2}}e^{x}sin(cos(sin(cos(e^{x}))))sin^{3}(e^{x})sin(cos(e^{x}))sin^{2}(sin(cos(e^{x})))cos(cos(e^{x})) - 2e^{{x}*{3}}cos(cos(sin(cos(e^{x}))))*-sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}sin^{3}(e^{x})sin(cos(e^{x}))sin^{2}(sin(cos(e^{x})))cos(cos(e^{x})) - 2e^{{x}*{3}}sin(cos(sin(cos(e^{x}))))*3sin^{2}(e^{x})cos(e^{x})e^{x}sin(cos(e^{x}))sin^{2}(sin(cos(e^{x})))cos(cos(e^{x})) - 2e^{{x}*{3}}sin(cos(sin(cos(e^{x}))))sin^{3}(e^{x})cos(cos(e^{x}))*-sin(e^{x})e^{x}sin^{2}(sin(cos(e^{x})))cos(cos(e^{x})) - 2e^{{x}*{3}}sin(cos(sin(cos(e^{x}))))sin^{3}(e^{x})sin(cos(e^{x}))*2sin(sin(cos(e^{x})))cos(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}cos(cos(e^{x})) - 2e^{{x}*{3}}sin(cos(sin(cos(e^{x}))))sin^{3}(e^{x})sin(cos(e^{x}))sin^{2}(sin(cos(e^{x})))*-sin(cos(e^{x}))*-sin(e^{x})e^{x} + 3*2e^{x}e^{x}sin^{2}(e^{x})sin(cos(e^{x}))sin(sin(cos(e^{x})))cos(cos(sin(cos(e^{x})))) + 3e^{{x}*{2}}*2sin(e^{x})cos(e^{x})e^{x}sin(cos(e^{x}))sin(sin(cos(e^{x})))cos(cos(sin(cos(e^{x})))) + 3e^{{x}*{2}}sin^{2}(e^{x})cos(cos(e^{x}))*-sin(e^{x})e^{x}sin(sin(cos(e^{x})))cos(cos(sin(cos(e^{x})))) + 3e^{{x}*{2}}sin^{2}(e^{x})sin(cos(e^{x}))cos(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}cos(cos(sin(cos(e^{x})))) + 3e^{{x}*{2}}sin^{2}(e^{x})sin(cos(e^{x}))sin(sin(cos(e^{x})))*-sin(cos(sin(cos(e^{x}))))*-sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x} - 3e^{{x}*{2}}e^{x}sin^{3}(e^{x})sin(sin(cos(e^{x})))cos(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - e^{{x}*{3}}*3sin^{2}(e^{x})cos(e^{x})e^{x}sin(sin(cos(e^{x})))cos(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - e^{{x}*{3}}sin^{3}(e^{x})cos(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}cos(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - e^{{x}*{3}}sin^{3}(e^{x})sin(sin(cos(e^{x})))*-sin(cos(e^{x}))*-sin(e^{x})e^{x}cos(cos(sin(cos(e^{x})))) - e^{{x}*{3}}sin^{3}(e^{x})sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(cos(sin(cos(e^{x}))))*-sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x} - 3*2e^{x}e^{x}sin^{2}(e^{x})sin^{2}(sin(cos(e^{x})))sin(cos(sin(cos(e^{x}))))cos^{2}(cos(e^{x})) - 3e^{{x}*{2}}*2sin(e^{x})cos(e^{x})e^{x}sin^{2}(sin(cos(e^{x})))sin(cos(sin(cos(e^{x}))))cos^{2}(cos(e^{x})) - 3e^{{x}*{2}}sin^{2}(e^{x})*2sin(sin(cos(e^{x})))cos(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}sin(cos(sin(cos(e^{x}))))cos^{2}(cos(e^{x})) - 3e^{{x}*{2}}sin^{2}(e^{x})sin^{2}(sin(cos(e^{x})))cos(cos(sin(cos(e^{x}))))*-sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}cos^{2}(cos(e^{x})) - 3e^{{x}*{2}}sin^{2}(e^{x})sin^{2}(sin(cos(e^{x})))sin(cos(sin(cos(e^{x}))))*-2cos(cos(e^{x}))sin(cos(e^{x}))*-sin(e^{x})e^{x} - 3e^{{x}*{2}}e^{x}sin(cos(sin(cos(e^{x}))))sin(cos(e^{x}))sin^{3}(e^{x})sin^{2}(sin(cos(e^{x})))cos(cos(e^{x})) - e^{{x}*{3}}cos(cos(sin(cos(e^{x}))))*-sin(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}sin(cos(e^{x}))sin^{3}(e^{x})sin^{2}(sin(cos(e^{x})))cos(cos(e^{x})) - e^{{x}*{3}}sin(cos(sin(cos(e^{x}))))cos(cos(e^{x}))*-sin(e^{x})e^{x}sin^{3}(e^{x})sin^{2}(sin(cos(e^{x})))cos(cos(e^{x})) - e^{{x}*{3}}sin(cos(sin(cos(e^{x}))))sin(cos(e^{x}))*3sin^{2}(e^{x})cos(e^{x})e^{x}sin^{2}(sin(cos(e^{x})))cos(cos(e^{x})) - e^{{x}*{3}}sin(cos(sin(cos(e^{x}))))sin(cos(e^{x}))sin^{3}(e^{x})*2sin(sin(cos(e^{x})))cos(sin(cos(e^{x})))cos(cos(e^{x}))*-sin(e^{x})e^{x}cos(cos(e^{x})) - e^{{x}*{3}}sin(cos(sin(cos(e^{x}))))sin(cos(e^{x}))sin^{3}(e^{x})sin^{2}(sin(cos(e^{x})))*-sin(cos(e^{x}))*-sin(e^{x})e^{x}\\=& - 10e^{{x}*{4}}sin^{2}(e^{x})sin(cos(e^{x}))cos(e^{x})cos(cos(e^{x}))cos(sin(cos(e^{x})))cos(cos(sin(cos(e^{x})))) - 2e^{{x}*{4}}sin^{2}(e^{x})sin(cos(e^{x}))cos(cos(e^{x}))cos(sin(cos(e^{x})))cos(e^{x})cos(cos(sin(cos(e^{x})))) - 6e^{{x}*{3}}sin(e^{x})cos(sin(cos(e^{x})))cos^{2}(cos(e^{x}))cos(e^{x})cos(cos(sin(cos(e^{x})))) - 3e^{{x}*{4}}sin^{2}(e^{x})sin(cos(e^{x}))cos(e^{x})cos(sin(cos(e^{x})))cos(cos(e^{x}))cos(cos(sin(cos(e^{x})))) + 6e^{{x}*{4}}sin(sin(cos(e^{x})))sin^{2}(e^{x})sin(cos(sin(cos(e^{x}))))cos^{3}(cos(e^{x}))cos(sin(cos(e^{x})))cos(e^{x}) + 2e^{{x}*{4}}sin^{4}(e^{x})sin(sin(cos(e^{x})))sin(cos(sin(cos(e^{x}))))sin(cos(e^{x}))cos^{2}(cos(e^{x}))cos(sin(cos(e^{x}))) - 12e^{{x}*{3}}sin(e^{x})cos(e^{x})cos(sin(cos(e^{x})))cos^{2}(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - 3e^{{x}*{4}}cos^{2}(e^{x})cos(sin(cos(e^{x})))cos^{2}(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - 2e^{{x}*{4}}sin(cos(e^{x}))sin^{2}(e^{x})cos(sin(cos(e^{x})))cos(cos(e^{x}))cos(e^{x})cos(cos(sin(cos(e^{x})))) - e^{{x}*{4}}sin^{2}(e^{x})sin(cos(e^{x}))cos(sin(cos(e^{x})))cos(cos(e^{x}))cos(e^{x})cos(cos(sin(cos(e^{x})))) - 2e^{{x}*{4}}sin(sin(cos(e^{x})))sin^{2}(e^{x})cos(e^{x})cos^{3}(cos(e^{x}))cos(cos(sin(cos(e^{x})))) + e^{{x}*{4}}sin^{2}(e^{x})sin(cos(sin(cos(e^{x}))))sin(sin(cos(e^{x})))cos(e^{x})cos^{3}(cos(e^{x}))cos(sin(cos(e^{x}))) + 3e^{{x}*{4}}sin^{4}(e^{x})cos^{2}(cos(e^{x}))cos(sin(cos(e^{x})))cos(cos(sin(cos(e^{x})))) + 3e^{{x}*{4}}sin^{2}(e^{x})cos(sin(cos(e^{x})))cos^{2}(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - 3e^{{x}*{4}}sin^{2}(e^{x})sin^{3}(sin(cos(e^{x})))cos(cos(sin(cos(e^{x}))))cos^{3}(cos(e^{x}))cos(e^{x}) + 2e^{{x}*{4}}sin^{2}(e^{x})sin(cos(sin(cos(e^{x}))))sin(sin(cos(e^{x})))cos^{3}(cos(e^{x}))cos(e^{x})cos(sin(cos(e^{x}))) + 3e^{{x}*{4}}sin^{2}(e^{x})sin(cos(sin(cos(e^{x}))))sin(sin(cos(e^{x})))cos(e^{x})cos(sin(cos(e^{x})))cos^{3}(cos(e^{x})) + e^{{x}*{4}}sin^{2}(sin(cos(e^{x})))sin^{4}(e^{x})cos^{4}(cos(e^{x}))cos(cos(sin(cos(e^{x}))))cos(sin(cos(e^{x}))) + 6e^{{x}*{4}}sin^{2}(e^{x})sin(sin(cos(e^{x})))sin(cos(sin(cos(e^{x}))))cos(e^{x})cos^{3}(cos(e^{x}))cos(sin(cos(e^{x}))) - 6e^{{x}*{3}}sin(cos(e^{x}))sin^{3}(e^{x})cos(sin(cos(e^{x})))cos(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - 6e^{{x}*{4}}sin^{2}(e^{x})sin(cos(sin(cos(e^{x}))))sin(cos(e^{x}))sin^{2}(sin(cos(e^{x})))cos(e^{x})cos(cos(e^{x})) - 6e^{{x}*{4}}sin(cos(sin(cos(e^{x}))))sin^{2}(e^{x})sin(cos(e^{x}))sin^{2}(sin(cos(e^{x})))cos(cos(e^{x}))cos(e^{x}) + 6e^{{x}*{3}}sin^{3}(e^{x})sin(cos(sin(cos(e^{x}))))sin(sin(cos(e^{x})))cos(sin(cos(e^{x})))cos^{3}(cos(e^{x})) - 18e^{{x}*{3}}sin(e^{x})sin^{2}(sin(cos(e^{x})))sin(cos(sin(cos(e^{x}))))cos(e^{x})cos^{2}(cos(e^{x})) - 3e^{{x}*{4}}sin^{2}(e^{x})sin(sin(cos(e^{x})))cos(e^{x})cos^{3}(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - 12e^{{x}*{3}}sin^{3}(e^{x})sin(cos(e^{x}))cos(cos(e^{x}))cos(sin(cos(e^{x})))cos(cos(sin(cos(e^{x})))) + 6e^{{x}*{4}}sin(cos(sin(cos(e^{x}))))sin^{4}(e^{x})sin(sin(cos(e^{x})))sin(cos(e^{x}))cos(sin(cos(e^{x})))cos^{2}(cos(e^{x})) + 3e^{{x}*{4}}sin(sin(cos(e^{x})))sin^{4}(e^{x})sin(cos(e^{x}))sin(cos(sin(cos(e^{x}))))cos^{2}(cos(e^{x}))cos(sin(cos(e^{x}))) + 7e^{{x}*{2}}sin(sin(cos(e^{x})))cos(e^{x})cos(cos(sin(cos(e^{x}))))cos(cos(e^{x})) + e^{{x}*{4}}sin^{2}(e^{x})cos^{2}(cos(e^{x}))cos(sin(cos(e^{x})))cos(cos(sin(cos(e^{x})))) + 2e^{{x}*{4}}sin^{4}(e^{x})sin^{2}(sin(cos(e^{x})))cos(cos(sin(cos(e^{x}))))cos^{4}(cos(e^{x}))cos(sin(cos(e^{x}))) + 3e^{{x}*{4}}sin^{2}(sin(cos(e^{x})))sin^{4}(e^{x})cos(sin(cos(e^{x})))cos^{4}(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - e^{{x}*{4}}sin(sin(cos(e^{x})))sin^{2}(e^{x})cos^{3}(cos(e^{x}))cos(e^{x})cos(cos(sin(cos(e^{x})))) + e^{{x}*{4}}sin(cos(e^{x}))sin^{4}(e^{x})sin(sin(cos(e^{x})))sin(cos(sin(cos(e^{x}))))cos(sin(cos(e^{x})))cos^{2}(cos(e^{x})) + 12e^{{x}*{3}}sin(sin(cos(e^{x})))sin^{3}(e^{x})sin(cos(sin(cos(e^{x}))))cos^{3}(cos(e^{x}))cos(sin(cos(e^{x}))) - 3e^{{x}*{4}}sin^{2}(e^{x})sin^{3}(sin(cos(e^{x})))cos(e^{x})cos(cos(sin(cos(e^{x}))))cos^{3}(cos(e^{x})) - 6e^{{x}*{4}}sin^{4}(e^{x})sin(cos(e^{x}))sin(sin(cos(e^{x})))cos^{2}(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - 3e^{{x}*{4}}sin^{2}(e^{x})sin(sin(cos(e^{x})))cos(cos(e^{x}))cos(e^{x})cos(cos(sin(cos(e^{x})))) + 6e^{{x}*{4}}sin(cos(sin(cos(e^{x}))))sin^{4}(e^{x})sin(sin(cos(e^{x})))sin(cos(e^{x}))cos^{2}(cos(e^{x}))cos(sin(cos(e^{x}))) - 3e^{{x}*{4}}sin^{2}(e^{x})sin(sin(cos(e^{x})))cos(e^{x})cos(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - 7e^{{x}*{2}}sin^{2}(e^{x})cos(sin(cos(e^{x})))cos^{2}(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - 3e^{{x}*{4}}sin^{4}(e^{x})sin(cos(e^{x}))sin^{3}(sin(cos(e^{x})))cos^{2}(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - 3e^{{x}*{4}}sin^{4}(e^{x})sin^{2}(cos(e^{x}))cos(sin(cos(e^{x})))cos(cos(sin(cos(e^{x})))) - 3e^{{x}*{4}}sin^{2}(sin(cos(e^{x})))sin(cos(sin(cos(e^{x}))))cos^{2}(e^{x})cos^{2}(cos(e^{x})) + 3e^{{x}*{4}}sin(cos(e^{x}))sin(sin(cos(e^{x})))cos^{2}(e^{x})cos(cos(sin(cos(e^{x})))) + e^{{x}*{4}}sin^{4}(e^{x})cos^{4}(cos(e^{x}))cos(sin(cos(e^{x})))cos(cos(sin(cos(e^{x})))) - e^{{x}*{4}}sin(cos(sin(cos(e^{x}))))sin^{4}(e^{x})cos^{2}(sin(cos(e^{x})))cos^{4}(cos(e^{x})) + 12e^{{x}*{3}}sin(e^{x})sin(cos(e^{x}))sin(sin(cos(e^{x})))cos(e^{x})cos(cos(sin(cos(e^{x})))) + 6e^{{x}*{3}}sin(sin(cos(e^{x})))sin(cos(e^{x}))sin(e^{x})cos(e^{x})cos(cos(sin(cos(e^{x})))) - e^{{x}*{4}}sin(sin(cos(e^{x})))cos(e^{x})cos(cos(sin(cos(e^{x}))))cos(cos(e^{x})) - 3e^{{x}*{4}}sin^{4}(e^{x})sin^{3}(sin(cos(e^{x})))sin(cos(e^{x}))cos^{2}(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - 4e^{{x}*{4}}sin^{2}(e^{x})sin(cos(e^{x}))sin(sin(cos(e^{x})))cos(cos(sin(cos(e^{x})))) - 7e^{{x}*{2}}sin^{2}(e^{x})sin^{2}(sin(cos(e^{x})))sin(cos(sin(cos(e^{x}))))cos^{2}(cos(e^{x})) - 6e^{{x}*{3}}sin(sin(cos(e^{x})))sin^{3}(e^{x})cos^{3}(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - 2e^{{x}*{4}}sin^{4}(e^{x})sin(cos(sin(cos(e^{x}))))cos^{2}(sin(cos(e^{x})))cos^{4}(cos(e^{x})) - 3e^{{x}*{4}}sin(cos(e^{x}))sin(cos(sin(cos(e^{x}))))sin^{2}(e^{x})sin^{2}(sin(cos(e^{x})))cos(e^{x})cos(cos(e^{x})) - 3e^{{x}*{4}}sin(cos(sin(cos(e^{x}))))sin(cos(e^{x}))sin^{2}(e^{x})sin^{2}(sin(cos(e^{x})))cos(e^{x})cos(cos(e^{x})) + 3e^{{x}*{4}}sin^{2}(sin(cos(e^{x})))sin^{4}(e^{x})sin(cos(sin(cos(e^{x}))))cos^{4}(cos(e^{x})) - 6e^{{x}*{3}}sin(e^{x})sin(sin(cos(e^{x})))cos(cos(sin(cos(e^{x}))))cos(cos(e^{x})) - 6e^{{x}*{3}}sin^{3}(e^{x})sin^{3}(sin(cos(e^{x})))cos(cos(sin(cos(e^{x}))))cos^{3}(cos(e^{x})) + e^{x}sin(e^{x})sin(sin(cos(e^{x})))cos(cos(sin(cos(e^{x}))))cos(cos(e^{x})) + e^{{x}*{4}}sin^{4}(e^{x})sin^{4}(sin(cos(e^{x})))sin(cos(sin(cos(e^{x}))))cos^{4}(cos(e^{x})) + 7e^{{x}*{2}}sin^{2}(e^{x})sin(cos(e^{x}))sin(sin(cos(e^{x})))cos(cos(sin(cos(e^{x})))) - 12e^{{x}*{3}}sin(cos(sin(cos(e^{x}))))sin^{3}(e^{x})sin(cos(e^{x}))sin^{2}(sin(cos(e^{x})))cos(cos(e^{x})) + 4e^{{x}*{4}}sin^{2}(e^{x})sin^{2}(sin(cos(e^{x})))sin(cos(sin(cos(e^{x}))))cos^{2}(cos(e^{x})) + 2e^{{x}*{4}}sin(cos(sin(cos(e^{x}))))sin^{4}(e^{x})sin^{2}(sin(cos(e^{x})))cos^{2}(cos(e^{x})) + e^{{x}*{4}}sin^{4}(e^{x})sin^{2}(sin(cos(e^{x})))sin(cos(sin(cos(e^{x}))))cos^{4}(cos(e^{x})) - 6e^{{x}*{3}}sin(cos(sin(cos(e^{x}))))sin(cos(e^{x}))sin^{3}(e^{x})sin^{2}(sin(cos(e^{x})))cos(cos(e^{x})) - 6e^{{x}*{3}}sin^{3}(e^{x})sin(sin(cos(e^{x})))cos(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - 2e^{{x}*{4}}sin^{4}(e^{x})sin^{2}(cos(e^{x}))sin^{2}(sin(cos(e^{x})))sin(cos(sin(cos(e^{x})))) + e^{{x}*{4}}sin^{4}(e^{x})cos(sin(cos(e^{x})))cos^{2}(cos(e^{x}))cos(cos(sin(cos(e^{x})))) - e^{{x}*{4}}sin^{4}(e^{x})sin(cos(e^{x}))sin(sin(cos(e^{x})))cos(cos(sin(cos(e^{x})))) + e^{{x}*{4}}sin^{4}(e^{x})sin^{2}(sin(cos(e^{x})))sin(cos(sin(cos(e^{x}))))cos^{2}(cos(e^{x})) + e^{{x}*{4}}sin^{4}(e^{x})sin(cos(sin(cos(e^{x}))))sin^{2}(sin(cos(e^{x})))cos^{2}(cos(e^{x})) - e^{{x}*{4}}sin^{2}(cos(e^{x}))sin^{4}(e^{x})sin^{2}(sin(cos(e^{x})))sin(cos(sin(cos(e^{x}))))\\ \end{split}\end{equation} \]
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