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。\[ \begin{equation}\begin{split}【1/1】求函数(6 - 6cos(\frac{6x}{5} - \frac{π}{5}) + sqrt(3500))cos(x) - 10sin(x) 关于 x 的 1 阶导数:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = - 6cos(\frac{6}{5}x - \frac{1}{5}π)cos(x) + cos(x)sqrt(3500) + 6cos(x) - 10sin(x)\\&\color{blue}{函数的第 1 阶导数:}\\&\frac{d\left( - 6cos(\frac{6}{5}x - \frac{1}{5}π)cos(x) + cos(x)sqrt(3500) + 6cos(x) - 10sin(x)\right)}{dx}\\=& - 6*-sin(\frac{6}{5}x - \frac{1}{5}π)(\frac{6}{5} + 0)cos(x) - 6cos(\frac{6}{5}x - \frac{1}{5}π)*-sin(x) + -sin(x)sqrt(3500) + cos(x)*0*\frac{1}{2}*3500^{\frac{1}{2}} + 6*-sin(x) - 10cos(x)\\=&\frac{36sin(\frac{6}{5}x - \frac{1}{5}π)cos(x)}{5} + 6sin(x)cos(\frac{6}{5}x - \frac{1}{5}π) - sin(x)sqrt(3500) - 6sin(x) - 10cos(x)\\ \end{split}\end{equation} \]你的问题在这里没有得到解决?请到 热门难题 里面看看吧!