$$$\frac{1}{u}$$$的导数

该计算器将求$$$\frac{1}{u}$$$的导数，并显示步骤。

求$$$\frac{d}{du} \left(\frac{1}{u}\right)$$$。

应用幂次法则 $$$\frac{d}{du} \left(u^{n}\right) = n u^{n - 1}$$$，其中 $$$n = -1$$$:

$${\color{red}\left(\frac{d}{du} \left(\frac{1}{u}\right)\right)} = {\color{red}\left(- \frac{1}{u^{2}}\right)}$$

因此，$$$\frac{d}{du} \left(\frac{1}{u}\right) = - \frac{1}{u^{2}}$$$。

$$$\frac{d}{du} \left(\frac{1}{u}\right) = - \frac{1}{u^{2}}$$$A

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