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 1 阶导数。
注意，变量是区分大小写的。
\[ \begin{equation}\begin{split}【1/1】求函数sin(x)cos(2)(x)cos(sin(x)) + sin(sin(x))cos(2)(x)cos(2x) + 2sin(2x)cos(sin(x))cos(x) + sin(x)cos(sin(x))cos(2x) + 2sin(2x)cos(x)cos(sin(x)) - sin(2)(x)sin(sin(x)) + 2sin(sin(x))cos(2)(x) + 4sin(sin(x))cos(2x) + sin(x)cos(sin(x)) 关于 x 的 1 阶导数：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = xsin(x)cos(2)cos(sin(x)) + xsin(sin(x))cos(2)cos(2x) + 2sin(2x)cos(sin(x))cos(x) + sin(x)cos(sin(x))cos(2x) + 2sin(2x)cos(x)cos(sin(x)) - xsin(2)sin(sin(x)) + 2xsin(sin(x))cos(2) + 4sin(sin(x))cos(2x) + sin(x)cos(sin(x))\\&\color{blue}{函数的第 1 阶导数：}\\&\frac{d\left( xsin(x)cos(2)cos(sin(x)) + xsin(sin(x))cos(2)cos(2x) + 2sin(2x)cos(sin(x))cos(x) + sin(x)cos(sin(x))cos(2x) + 2sin(2x)cos(x)cos(sin(x)) - xsin(2)sin(sin(x)) + 2xsin(sin(x))cos(2) + 4sin(sin(x))cos(2x) + sin(x)cos(sin(x))\right)}{dx}\\=&sin(x)cos(2)cos(sin(x)) + xcos(x)cos(2)cos(sin(x)) + xsin(x)*-sin(2)*0cos(sin(x)) + xsin(x)cos(2)*-sin(sin(x))cos(x) + sin(sin(x))cos(2)cos(2x) + xcos(sin(x))cos(x)cos(2)cos(2x) + xsin(sin(x))*-sin(2)*0cos(2x) + xsin(sin(x))cos(2)*-sin(2x)*2 + 2cos(2x)*2cos(sin(x))cos(x) + 2sin(2x)*-sin(sin(x))cos(x)cos(x) + 2sin(2x)cos(sin(x))*-sin(x) + cos(x)cos(sin(x))cos(2x) + sin(x)*-sin(sin(x))cos(x)cos(2x) + sin(x)cos(sin(x))*-sin(2x)*2 + 2cos(2x)*2cos(x)cos(sin(x)) + 2sin(2x)*-sin(x)cos(sin(x)) + 2sin(2x)cos(x)*-sin(sin(x))cos(x) - sin(2)sin(sin(x)) - xcos(2)*0sin(sin(x)) - xsin(2)cos(sin(x))cos(x) + 2sin(sin(x))cos(2) + 2xcos(sin(x))cos(x)cos(2) + 2xsin(sin(x))*-sin(2)*0 + 4cos(sin(x))cos(x)cos(2x) + 4sin(sin(x))*-sin(2x)*2 + cos(x)cos(sin(x)) + sin(x)*-sin(sin(x))cos(x)\\=&sin(x)cos(2)cos(sin(x)) + xcos(x)cos(sin(x))cos(2)cos(2x) - xsin(x)sin(sin(x))cos(x)cos(2) + sin(sin(x))cos(2)cos(2x) + xcos(x)cos(2)cos(sin(x)) - 2xsin(2x)sin(sin(x))cos(2) + 4cos(2x)cos(sin(x))cos(x) - sin(x)sin(sin(x))cos(x)cos(2x) - 4sin(x)sin(2x)cos(sin(x)) + 5cos(x)cos(sin(x))cos(2x) - 4sin(2x)sin(sin(x))cos^{2}(x) - 2sin(2x)sin(x)cos(sin(x)) + 4cos(2x)cos(x)cos(sin(x)) - sin(x)sin(sin(x))cos(x) - xsin(2)cos(x)cos(sin(x)) + 2sin(sin(x))cos(2) + 2xcos(x)cos(sin(x))cos(2) - 8sin(2x)sin(sin(x)) + cos(x)cos(sin(x)) - sin(2)sin(sin(x))\\ \end{split}\end{equation} \]
注意，变量是区分大小写的。
\[ \begin{equation}\begin{split}【1/1】求函数sin(x)cos(2)(x)cos(sin(x)) + sin(sin(x))cos(2)(x)cos(2x) + 2sin(2x)cos(sin(x))cos(x) + sin(x)cos(sin(x))cos(2x) + 2sin(2x)cos(x)cos(sin(x)) - sin(2)(x)sin(sin(x)) + 2sin(sin(x))cos(2)(x) + 4sin(sin(x))cos(2x) + sin(x)cos(sin(x)) 关于 x 的 1 阶导数：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = xsin(x)cos(2)cos(sin(x)) + xsin(sin(x))cos(2)cos(2x) + 2sin(2x)cos(sin(x))cos(x) + sin(x)cos(sin(x))cos(2x) + 2sin(2x)cos(x)cos(sin(x)) - xsin(2)sin(sin(x)) + 2xsin(sin(x))cos(2) + 4sin(sin(x))cos(2x) + sin(x)cos(sin(x))\\&\color{blue}{函数的第 1 阶导数：}\\&\frac{d\left( xsin(x)cos(2)cos(sin(x)) + xsin(sin(x))cos(2)cos(2x) + 2sin(2x)cos(sin(x))cos(x) + sin(x)cos(sin(x))cos(2x) + 2sin(2x)cos(x)cos(sin(x)) - xsin(2)sin(sin(x)) + 2xsin(sin(x))cos(2) + 4sin(sin(x))cos(2x) + sin(x)cos(sin(x))\right)}{dx}\\=&sin(x)cos(2)cos(sin(x)) + xcos(x)cos(2)cos(sin(x)) + xsin(x)*-sin(2)*0cos(sin(x)) + xsin(x)cos(2)*-sin(sin(x))cos(x) + sin(sin(x))cos(2)cos(2x) + xcos(sin(x))cos(x)cos(2)cos(2x) + xsin(sin(x))*-sin(2)*0cos(2x) + xsin(sin(x))cos(2)*-sin(2x)*2 + 2cos(2x)*2cos(sin(x))cos(x) + 2sin(2x)*-sin(sin(x))cos(x)cos(x) + 2sin(2x)cos(sin(x))*-sin(x) + cos(x)cos(sin(x))cos(2x) + sin(x)*-sin(sin(x))cos(x)cos(2x) + sin(x)cos(sin(x))*-sin(2x)*2 + 2cos(2x)*2cos(x)cos(sin(x)) + 2sin(2x)*-sin(x)cos(sin(x)) + 2sin(2x)cos(x)*-sin(sin(x))cos(x) - sin(2)sin(sin(x)) - xcos(2)*0sin(sin(x)) - xsin(2)cos(sin(x))cos(x) + 2sin(sin(x))cos(2) + 2xcos(sin(x))cos(x)cos(2) + 2xsin(sin(x))*-sin(2)*0 + 4cos(sin(x))cos(x)cos(2x) + 4sin(sin(x))*-sin(2x)*2 + cos(x)cos(sin(x)) + sin(x)*-sin(sin(x))cos(x)\\=&sin(x)cos(2)cos(sin(x)) + xcos(x)cos(sin(x))cos(2)cos(2x) - xsin(x)sin(sin(x))cos(x)cos(2) + sin(sin(x))cos(2)cos(2x) + xcos(x)cos(2)cos(sin(x)) - 2xsin(2x)sin(sin(x))cos(2) + 4cos(2x)cos(sin(x))cos(x) - sin(x)sin(sin(x))cos(x)cos(2x) - 4sin(x)sin(2x)cos(sin(x)) + 5cos(x)cos(sin(x))cos(2x) - 4sin(2x)sin(sin(x))cos^{2}(x) - 2sin(2x)sin(x)cos(sin(x)) + 4cos(2x)cos(x)cos(sin(x)) - sin(x)sin(sin(x))cos(x) - xsin(2)cos(x)cos(sin(x)) + 2sin(sin(x))cos(2) + 2xcos(x)cos(sin(x))cos(2) - 8sin(2x)sin(sin(x)) + cos(x)cos(sin(x)) - sin(2)sin(sin(x))\\ \end{split}\end{equation} \]
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