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