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Turunan dari $$$\operatorname{acosh}{\left(x \right)}$$$
Kalkulator terkait: Kalkulator Diferensiasi Logaritmik, Kalkulator Diferensiasi Implisit dengan Langkah-langkah
Masukan Anda
Temukan $$$\frac{d}{dx} \left(\operatorname{acosh}{\left(x \right)}\right)$$$.
Solusi
Turunan dari kosinus hiperbolik invers adalah $$$\frac{d}{dx} \left(\operatorname{acosh}{\left(x \right)}\right) = \frac{1}{\sqrt{x - 1} \sqrt{x + 1}}$$$:
$${\color{red}\left(\frac{d}{dx} \left(\operatorname{acosh}{\left(x \right)}\right)\right)} = {\color{red}\left(\frac{1}{\sqrt{x - 1} \sqrt{x + 1}}\right)}$$Dengan demikian, $$$\frac{d}{dx} \left(\operatorname{acosh}{\left(x \right)}\right) = \frac{1}{\sqrt{x - 1} \sqrt{x + 1}}$$$.
Jawaban
$$$\frac{d}{dx} \left(\operatorname{acosh}{\left(x \right)}\right) = \frac{1}{\sqrt{x - 1} \sqrt{x + 1}}$$$A
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