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。\[ \begin{equation}\begin{split}【1/1】求函数\frac{-82.645x}{(xx + 42.38x + 21.19*21.19)} + \frac{82.645}{(x + 21.19)} 关于 x 的 1 阶导数:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = \frac{-82.645x}{(x^{2} + 42.38x + 449.0161)} + \frac{82.645}{(x + 21.19)}\\&\color{blue}{函数的第 1 阶导数:}\\&\frac{d\left( \frac{-82.645x}{(x^{2} + 42.38x + 449.0161)} + \frac{82.645}{(x + 21.19)}\right)}{dx}\\=&-82.645(\frac{-(2x + 42.38 + 0)}{(x^{2} + 42.38x + 449.0161)^{2}})x - \frac{82.645}{(x^{2} + 42.38x + 449.0161)} + 82.645(\frac{-(1 + 0)}{(x + 21.19)^{2}})\\=&\frac{165.29x^{2}}{(x^{2} + 42.38x + 449.0161)(x^{2} + 42.38x + 449.0161)} + \frac{3502.4951x}{(x^{2} + 42.38x + 449.0161)(x^{2} + 42.38x + 449.0161)} - \frac{82.645}{(x + 21.19)(x + 21.19)} - \frac{82.645}{(x^{2} + 42.38x + 449.0161)}\\ \end{split}\end{equation} \]你的问题在这里没有得到解决?请到 热门难题 里面看看吧!