Turunan dari $$$\frac{\cosh{\left(v \right)}}{5}$$$
Kalkulator terkait: Kalkulator Diferensiasi Logaritmik, Kalkulator Diferensiasi Implisit dengan Langkah-langkah
Masukan Anda
Temukan $$$\frac{d}{dv} \left(\frac{\cosh{\left(v \right)}}{5}\right)$$$.
Solusi
Terapkan aturan kelipatan konstanta $$$\frac{d}{dv} \left(c f{\left(v \right)}\right) = c \frac{d}{dv} \left(f{\left(v \right)}\right)$$$ dengan $$$c = \frac{1}{5}$$$ dan $$$f{\left(v \right)} = \cosh{\left(v \right)}$$$:
$${\color{red}\left(\frac{d}{dv} \left(\frac{\cosh{\left(v \right)}}{5}\right)\right)} = {\color{red}\left(\frac{\frac{d}{dv} \left(\cosh{\left(v \right)}\right)}{5}\right)}$$Turunan dari kosinus hiperbolik adalah $$$\frac{d}{dv} \left(\cosh{\left(v \right)}\right) = \sinh{\left(v \right)}$$$:
$$\frac{{\color{red}\left(\frac{d}{dv} \left(\cosh{\left(v \right)}\right)\right)}}{5} = \frac{{\color{red}\left(\sinh{\left(v \right)}\right)}}{5}$$Dengan demikian, $$$\frac{d}{dv} \left(\frac{\cosh{\left(v \right)}}{5}\right) = \frac{\sinh{\left(v \right)}}{5}$$$.
Jawaban
$$$\frac{d}{dv} \left(\frac{\cosh{\left(v \right)}}{5}\right) = \frac{\sinh{\left(v \right)}}{5}$$$A