$$$\coth{\left(x \right)}$$$的导数
您的输入
求$$$\frac{d}{dx} \left(\coth{\left(x \right)}\right)$$$。
解答
双曲余切的导数为$$$\frac{d}{dx} \left(\coth{\left(x \right)}\right) = - \operatorname{csch}^{2}{\left(x \right)}$$$:
$${\color{red}\left(\frac{d}{dx} \left(\coth{\left(x \right)}\right)\right)} = {\color{red}\left(- \operatorname{csch}^{2}{\left(x \right)}\right)}$$因此,$$$\frac{d}{dx} \left(\coth{\left(x \right)}\right) = - \operatorname{csch}^{2}{\left(x \right)}$$$。
答案
$$$\frac{d}{dx} \left(\coth{\left(x \right)}\right) = - \operatorname{csch}^{2}{\left(x \right)}$$$A
Please try a new game Rotatly