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。
\[ \begin{equation}\begin{split}【1/1】求函数sin(cos(sin(cos(x)sin(x){{{cos(x)}^{x}}^{x}}^{x}))) 关于 x 的 1 阶导数：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = sin(cos(sin({{{cos(x)}^{x}}^{x}}^{x}sin(x)cos(x))))\\&\color{blue}{函数的第 1 阶导数：}\\&\frac{d\left( sin(cos(sin({{{cos(x)}^{x}}^{x}}^{x}sin(x)cos(x))))\right)}{dx}\\=&cos(cos(sin({{{cos(x)}^{x}}^{x}}^{x}sin(x)cos(x))))*-sin(sin({{{cos(x)}^{x}}^{x}}^{x}sin(x)cos(x)))cos({{{cos(x)}^{x}}^{x}}^{x}sin(x)cos(x))(({{{cos(x)}^{x}}^{x}}^{x}((1)ln({{cos(x)}^{x}}^{x}) + \frac{(x)(({{cos(x)}^{x}}^{x}((1)ln({cos(x)}^{x}) + \frac{(x)(({cos(x)}^{x}((1)ln(cos(x)) + \frac{(x)(-sin(x))}{(cos(x))})))}{({cos(x)}^{x})})))}{({{cos(x)}^{x}}^{x})}))sin(x)cos(x) + {{{cos(x)}^{x}}^{x}}^{x}cos(x)cos(x) + {{{cos(x)}^{x}}^{x}}^{x}sin(x)*-sin(x))\\=&-{{{cos(x)}^{x}}^{x}}^{x}ln({{cos(x)}^{x}}^{x})sin(sin({{{cos(x)}^{x}}^{x}}^{x}sin(x)cos(x)))sin(x)cos(cos(sin({{{cos(x)}^{x}}^{x}}^{x}sin(x)cos(x))))cos({{{cos(x)}^{x}}^{x}}^{x}sin(x)cos(x))cos(x) - x{{{cos(x)}^{x}}^{x}}^{x}ln({cos(x)}^{x})sin(sin({{{cos(x)}^{x}}^{x}}^{x}sin(x)cos(x)))sin(x)cos(cos(sin({{{cos(x)}^{x}}^{x}}^{x}sin(x)cos(x))))cos({{{cos(x)}^{x}}^{x}}^{x}sin(x)cos(x))cos(x) - x^{2}{{{cos(x)}^{x}}^{x}}^{x}ln(cos(x))sin(sin({{{cos(x)}^{x}}^{x}}^{x}sin(x)cos(x)))sin(x)cos(cos(sin({{{cos(x)}^{x}}^{x}}^{x}sin(x)cos(x))))cos({{{cos(x)}^{x}}^{x}}^{x}sin(x)cos(x))cos(x) + x^{3}{{{cos(x)}^{x}}^{x}}^{x}sin^{2}(x)sin(sin({{{cos(x)}^{x}}^{x}}^{x}sin(x)cos(x)))cos(cos(sin({{{cos(x)}^{x}}^{x}}^{x}sin(x)cos(x))))cos({{{cos(x)}^{x}}^{x}}^{x}sin(x)cos(x)) - {{{cos(x)}^{x}}^{x}}^{x}sin(sin({{{cos(x)}^{x}}^{x}}^{x}sin(x)cos(x)))cos({{{cos(x)}^{x}}^{x}}^{x}sin(x)cos(x))cos^{2}(x)cos(cos(sin({{{cos(x)}^{x}}^{x}}^{x}sin(x)cos(x)))) + {{{cos(x)}^{x}}^{x}}^{x}sin(sin({{{cos(x)}^{x}}^{x}}^{x}sin(x)cos(x)))sin^{2}(x)cos(cos(sin({{{cos(x)}^{x}}^{x}}^{x}sin(x)cos(x))))cos({{{cos(x)}^{x}}^{x}}^{x}sin(x)cos(x))\\ \end{split}\end{equation} \]
注意，变量是区分大小写的。
\[ \begin{equation}\begin{split}【1/1】求函数sin(cos(sin(cos(x)sin(x){{{cos(x)}^{x}}^{x}}^{x}))) 关于 x 的 1 阶导数：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = sin(cos(sin({{{cos(x)}^{x}}^{x}}^{x}sin(x)cos(x))))\\&\color{blue}{函数的第 1 阶导数：}\\&\frac{d\left( sin(cos(sin({{{cos(x)}^{x}}^{x}}^{x}sin(x)cos(x))))\right)}{dx}\\=&cos(cos(sin({{{cos(x)}^{x}}^{x}}^{x}sin(x)cos(x))))*-sin(sin({{{cos(x)}^{x}}^{x}}^{x}sin(x)cos(x)))cos({{{cos(x)}^{x}}^{x}}^{x}sin(x)cos(x))(({{{cos(x)}^{x}}^{x}}^{x}((1)ln({{cos(x)}^{x}}^{x}) + \frac{(x)(({{cos(x)}^{x}}^{x}((1)ln({cos(x)}^{x}) + \frac{(x)(({cos(x)}^{x}((1)ln(cos(x)) + \frac{(x)(-sin(x))}{(cos(x))})))}{({cos(x)}^{x})})))}{({{cos(x)}^{x}}^{x})}))sin(x)cos(x) + {{{cos(x)}^{x}}^{x}}^{x}cos(x)cos(x) + {{{cos(x)}^{x}}^{x}}^{x}sin(x)*-sin(x))\\=&-{{{cos(x)}^{x}}^{x}}^{x}ln({{cos(x)}^{x}}^{x})sin(sin({{{cos(x)}^{x}}^{x}}^{x}sin(x)cos(x)))sin(x)cos(cos(sin({{{cos(x)}^{x}}^{x}}^{x}sin(x)cos(x))))cos({{{cos(x)}^{x}}^{x}}^{x}sin(x)cos(x))cos(x) - x{{{cos(x)}^{x}}^{x}}^{x}ln({cos(x)}^{x})sin(sin({{{cos(x)}^{x}}^{x}}^{x}sin(x)cos(x)))sin(x)cos(cos(sin({{{cos(x)}^{x}}^{x}}^{x}sin(x)cos(x))))cos({{{cos(x)}^{x}}^{x}}^{x}sin(x)cos(x))cos(x) - x^{2}{{{cos(x)}^{x}}^{x}}^{x}ln(cos(x))sin(sin({{{cos(x)}^{x}}^{x}}^{x}sin(x)cos(x)))sin(x)cos(cos(sin({{{cos(x)}^{x}}^{x}}^{x}sin(x)cos(x))))cos({{{cos(x)}^{x}}^{x}}^{x}sin(x)cos(x))cos(x) + x^{3}{{{cos(x)}^{x}}^{x}}^{x}sin^{2}(x)sin(sin({{{cos(x)}^{x}}^{x}}^{x}sin(x)cos(x)))cos(cos(sin({{{cos(x)}^{x}}^{x}}^{x}sin(x)cos(x))))cos({{{cos(x)}^{x}}^{x}}^{x}sin(x)cos(x)) - {{{cos(x)}^{x}}^{x}}^{x}sin(sin({{{cos(x)}^{x}}^{x}}^{x}sin(x)cos(x)))cos({{{cos(x)}^{x}}^{x}}^{x}sin(x)cos(x))cos^{2}(x)cos(cos(sin({{{cos(x)}^{x}}^{x}}^{x}sin(x)cos(x)))) + {{{cos(x)}^{x}}^{x}}^{x}sin(sin({{{cos(x)}^{x}}^{x}}^{x}sin(x)cos(x)))sin^{2}(x)cos(cos(sin({{{cos(x)}^{x}}^{x}}^{x}sin(x)cos(x))))cos({{{cos(x)}^{x}}^{x}}^{x}sin(x)cos(x))\\ \end{split}\end{equation} \]
你的问题在这里没有得到解决？请到 热门难题 里面看看吧！
最 新 发 布
新增加身体健康评估计算器，位置：“数学运算 > 身体健康评估”。
新增加学习笔记(安卓版)百度网盘快速下载应用程序，欢迎使用。
新增加学习笔记(安卓版)本站下载应用程序，欢迎使用。
新增线性代数行列式的计算，欢迎使用。
数学计算和一元方程已经支持正割函数和余割函数，欢迎使用。
新增加贷款计算器模块（具体位置：数学运算 > 贷款计算器），欢迎使用。