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