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。
\[ \begin{equation}\begin{split}【1/1】求函数-82.645x{\frac{1}{(x + 21.19)}}^{2} + \frac{82.645}{(x + 21.19)} 关于 x 的 1 阶导数：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = \frac{-82.645x}{(x + 21.19)(x + 21.19)} + \frac{82.645}{(x + 21.19)}\\&\color{blue}{函数的第 1 阶导数：}\\&\frac{d\left( \frac{-82.645x}{(x + 21.19)(x + 21.19)} + \frac{82.645}{(x + 21.19)}\right)}{dx}\\=&\frac{-82.645(\frac{-(1 + 0)}{(x + 21.19)^{2}})x}{(x + 21.19)} - \frac{82.645(\frac{-(1 + 0)}{(x + 21.19)^{2}})x}{(x + 21.19)} - \frac{82.645}{(x + 21.19)(x + 21.19)} + 82.645(\frac{-(1 + 0)}{(x + 21.19)^{2}})\\=&\frac{82.645x}{(x + 21.19)(x + 21.19)(x + 21.19)} + \frac{82.645x}{(x + 21.19)(x + 21.19)(x + 21.19)} - \frac{82.645}{(x + 21.19)(x + 21.19)} - \frac{82.645}{(x + 21.19)(x + 21.19)}\\ \end{split}\end{equation} \]

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