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