$$$\operatorname{atan}{\left(u \right)}$$$的导数

该计算器将求$$$\operatorname{atan}{\left(u \right)}$$$的导数，并显示步骤。

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

反正切函数的导数为 $$$\frac{d}{du} \left(\operatorname{atan}{\left(u \right)}\right) = \frac{1}{u^{2} + 1}$$$:

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

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

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

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