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