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。\[ \begin{equation}\begin{split}【1/1】求函数sin(x)cos(xsin(x)) + xcos(x)cos(xsin(x)) 关于 x 的 1 阶导数:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\解:&\\ &\color{blue}{函数的第 1 阶导数:}\\&\frac{d\left( sin(x)cos(xsin(x)) + xcos(x)cos(xsin(x))\right)}{dx}\\=&cos(x)cos(xsin(x)) + sin(x)*-sin(xsin(x))(sin(x) + xcos(x)) + cos(x)cos(xsin(x)) + x*-sin(x)cos(xsin(x)) + xcos(x)*-sin(xsin(x))(sin(x) + xcos(x))\\=&2cos(x)cos(xsin(x)) - sin(xsin(x))sin^{2}(x) - 2xsin(xsin(x))sin(x)cos(x) - xsin(x)cos(xsin(x)) - x^{2}sin(xsin(x))cos^{2}(x)\\ \end{split}\end{equation} \]你的问题在这里没有得到解决?请到 热门难题 里面看看吧!