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。\[ \begin{equation}\begin{split}【1/1】求函数-2{sin(x)}^{2}cos(x) + {sin(x)}^{3}x + 2sin(x)cos(x)x 关于 x 的 1 阶导数:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = -2sin^{2}(x)cos(x) + 2xsin(x)cos(x) + xsin^{3}(x)\\&\color{blue}{函数的第 1 阶导数:}\\&\frac{d\left( -2sin^{2}(x)cos(x) + 2xsin(x)cos(x) + xsin^{3}(x)\right)}{dx}\\=&-2*2sin(x)cos(x)cos(x) - 2sin^{2}(x)*-sin(x) + 2sin(x)cos(x) + 2xcos(x)cos(x) + 2xsin(x)*-sin(x) + sin^{3}(x) + x*3sin^{2}(x)cos(x)\\=&-4sin(x)cos^{2}(x) + 2sin(x)cos(x) + 3sin^{3}(x) + 2xcos^{2}(x) + 3xsin^{2}(x)cos(x) - 2xsin^{2}(x)\\ \end{split}\end{equation} \]你的问题在这里没有得到解决?请到 热门难题 里面看看吧!