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。\[ \begin{equation}\begin{split}【1/1】求函数(cos(sin(x)) - cos(sin(tan(x)))){\frac{1}{x}}^{4} 关于 x 的 1 阶导数:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = \frac{cos(sin(x))}{x^{4}} - \frac{cos(sin(tan(x)))}{x^{4}}\\&\color{blue}{函数的第 1 阶导数:}\\&\frac{d\left( \frac{cos(sin(x))}{x^{4}} - \frac{cos(sin(tan(x)))}{x^{4}}\right)}{dx}\\=&\frac{-4cos(sin(x))}{x^{5}} + \frac{-sin(sin(x))cos(x)}{x^{4}} - \frac{-4cos(sin(tan(x)))}{x^{5}} - \frac{-sin(sin(tan(x)))cos(tan(x))sec^{2}(x)(1)}{x^{4}}\\=&\frac{-4cos(sin(x))}{x^{5}} + \frac{sin(sin(tan(x)))cos(tan(x))sec^{2}(x)}{x^{4}} + \frac{4cos(sin(tan(x)))}{x^{5}} - \frac{sin(sin(x))cos(x)}{x^{4}}\\ \end{split}\end{equation} \]你的问题在这里没有得到解决?请到 热门难题 里面看看吧!