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。\[ \begin{equation}\begin{split}【1/1】求函数\frac{(114.236sin(3x) - 25)}{(134.904 - 38.079cos(3x))} 关于 x 的 1 阶导数:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = \frac{114.236sin(3x)}{(-38.079cos(3x) + 134.904)} - \frac{25}{(-38.079cos(3x) + 134.904)}\\&\color{blue}{函数的第 1 阶导数:}\\&\frac{d\left( \frac{114.236sin(3x)}{(-38.079cos(3x) + 134.904)} - \frac{25}{(-38.079cos(3x) + 134.904)}\right)}{dx}\\=&114.236(\frac{-(-38.079*-sin(3x)*3 + 0)}{(-38.079cos(3x) + 134.904)^{2}})sin(3x) + \frac{114.236cos(3x)*3}{(-38.079cos(3x) + 134.904)} - 25(\frac{-(-38.079*-sin(3x)*3 + 0)}{(-38.079cos(3x) + 134.904)^{2}})\\=&\frac{-13049.977932sin(3x)sin(3x)}{(-38.079cos(3x) + 134.904)(-38.079cos(3x) + 134.904)} + \frac{342.708cos(3x)}{(-38.079cos(3x) + 134.904)} + \frac{2855.925sin(3x)}{(-38.079cos(3x) + 134.904)(-38.079cos(3x) + 134.904)}\\ \end{split}\end{equation} \]你的问题在这里没有得到解决?请到 热门难题 里面看看吧!