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。
\[ \begin{equation}\begin{split}【1/1】求函数\frac{mg}{(2pr(1.007 - 1.479(r{\frac{1}{(\frac{m}{x})}}^{\frac{1}{3}}) + 1.892({r}^{2}{\frac{1}{(\frac{m}{x})}}^{(\frac{2}{3})})))} 关于 x 的 1 阶导数：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = \frac{mg}{(\frac{-2.958pr^{2}x}{m} + 2.014pr + \frac{3.784pr^{2}x}{m})}\\&\color{blue}{函数的第 1 阶导数：}\\&\frac{d\left( \frac{mg}{(\frac{-2.958pr^{2}x}{m} + 2.014pr + \frac{3.784pr^{2}x}{m})}\right)}{dx}\\=&(\frac{-(\frac{-2.958pr^{2}}{m} + 0 + \frac{3.784pr^{2}}{m})}{(\frac{-2.958pr^{2}x}{m} + 2.014pr + \frac{3.784pr^{2}x}{m})^{2}})mg + 0\\=&\frac{2.958gpr^{2}}{(\frac{-2.958pr^{2}x}{m} + 2.014pr + \frac{3.784pr^{2}x}{m})(\frac{-2.958pr^{2}x}{m} + 2.014pr + \frac{3.784pr^{2}x}{m})} - \frac{3.784gpr^{2}}{(\frac{-2.958pr^{2}x}{m} + 2.014pr + \frac{3.784pr^{2}x}{m})(\frac{-2.958pr^{2}x}{m} + 2.014pr + \frac{3.784pr^{2}x}{m})}\\ \end{split}\end{equation} \]

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