Turunan dari $$$\operatorname{atanh}{\left(x \right)}$$$

Kalkulator akan menentukan turunan dari $$$\operatorname{atanh}{\left(x \right)}$$$, dengan langkah-langkah yang ditampilkan.

Temukan $$$\frac{d}{dx} \left(\operatorname{atanh}{\left(x \right)}\right)$$$.

Turunan dari tangen hiperbolik invers adalah $$$\frac{d}{dx} \left(\operatorname{atanh}{\left(x \right)}\right) = \frac{1}{1 - x^{2}}$$$:

$${\color{red}\left(\frac{d}{dx} \left(\operatorname{atanh}{\left(x \right)}\right)\right)} = {\color{red}\left(\frac{1}{1 - x^{2}}\right)}$$

Sederhanakan:

$$\frac{1}{1 - x^{2}} = - \frac{1}{x^{2} - 1}$$

Dengan demikian, $$$\frac{d}{dx} \left(\operatorname{atanh}{\left(x \right)}\right) = - \frac{1}{x^{2} - 1}$$$.

$$$\frac{d}{dx} \left(\operatorname{atanh}{\left(x \right)}\right) = - \frac{1}{x^{2} - 1}$$$A

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