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。
\[ \begin{equation}\begin{split}【1/1】求函数{(\frac{sin(x)}{x})}^{(2{\frac{1}{x}}^{2})} 关于 x 的 1 阶导数：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = (\frac{sin(x)}{x})^{(\frac{2}{x^{2}})}\\&\color{blue}{函数的第 1 阶导数：}\\&\frac{d\left( (\frac{sin(x)}{x})^{(\frac{2}{x^{2}})}\right)}{dx}\\=&((\frac{sin(x)}{x})^{(\frac{2}{x^{2}})}((\frac{2*-2}{x^{3}})ln(\frac{sin(x)}{x}) + \frac{(\frac{2}{x^{2}})(\frac{-sin(x)}{x^{2}} + \frac{cos(x)}{x})}{(\frac{sin(x)}{x})}))\\=&\frac{-4(\frac{sin(x)}{x})^{(\frac{2}{x^{2}})}ln(\frac{sin(x)}{x})}{x^{3}} + \frac{2(\frac{sin(x)}{x})^{(\frac{2}{x^{2}})}cos(x)}{x^{2}sin(x)} - \frac{2(\frac{sin(x)}{x})^{(\frac{2}{x^{2}})}}{x^{3}}\\ \end{split}\end{equation} \]

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