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。\[ \begin{equation}\begin{split}【1/1】求函数{(sin({x}^{x}))}^{2} + {(cos({e}^{(xln(x))}))}^{2} 关于 x 的 1 阶导数:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = sin^{2}({x}^{x}) + cos^{2}({e}^{(xln(x))})\\&\color{blue}{函数的第 1 阶导数:}\\&\frac{d\left( sin^{2}({x}^{x}) + cos^{2}({e}^{(xln(x))})\right)}{dx}\\=&2sin({x}^{x})cos({x}^{x})({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})) + -2cos({e}^{(xln(x))})sin({e}^{(xln(x))})({e}^{(xln(x))}((ln(x) + \frac{x}{(x)})ln(e) + \frac{(xln(x))(0)}{(e)}))\\=&2{x}^{x}ln(x)sin({x}^{x})cos({x}^{x}) + 2{x}^{x}sin({x}^{x})cos({x}^{x}) - 2{e}^{(xln(x))}ln(x)sin({e}^{(xln(x))})cos({e}^{(xln(x))}) - 2{e}^{(xln(x))}sin({e}^{(xln(x))})cos({e}^{(xln(x))})\\ \end{split}\end{equation} \]你的问题在这里没有得到解决?请到 热门难题 里面看看吧!