$$$\operatorname{acot}{\left(x \right)}$$$ 的導數
您的輸入
求$$$\frac{d}{dx} \left(\operatorname{acot}{\left(x \right)}\right)$$$。
解答
反餘切函數的導數為 $$$\frac{d}{dx} \left(\operatorname{acot}{\left(x \right)}\right) = - \frac{1}{x^{2} + 1}$$$:
$${\color{red}\left(\frac{d}{dx} \left(\operatorname{acot}{\left(x \right)}\right)\right)} = {\color{red}\left(- \frac{1}{x^{2} + 1}\right)}$$因此,$$$\frac{d}{dx} \left(\operatorname{acot}{\left(x \right)}\right) = - \frac{1}{x^{2} + 1}$$$。
答案
$$$\frac{d}{dx} \left(\operatorname{acot}{\left(x \right)}\right) = - \frac{1}{x^{2} + 1}$$$A
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