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