$$$\operatorname{acot}{\left(u \right)}$$$的导数
您的输入
求$$$\frac{d}{du} \left(\operatorname{acot}{\left(u \right)}\right)$$$。
解答
反余切函数的导数为$$$\frac{d}{du} \left(\operatorname{acot}{\left(u \right)}\right) = - \frac{1}{u^{2} + 1}$$$：
$${\color{red}\left(\frac{d}{du} \left(\operatorname{acot}{\left(u \right)}\right)\right)} = {\color{red}\left(- \frac{1}{u^{2} + 1}\right)}$$因此，$$$\frac{d}{du} \left(\operatorname{acot}{\left(u \right)}\right) = - \frac{1}{u^{2} + 1}$$$。
答案
$$$\frac{d}{du} \left(\operatorname{acot}{\left(u \right)}\right) = - \frac{1}{u^{2} + 1}$$$A