Turunan dari $$$\sqrt{3} \cosh{\left(w \right)}$$$
Kalkulator terkait: Kalkulator Diferensiasi Logaritmik, Kalkulator Diferensiasi Implisit dengan Langkah-langkah
Masukan Anda
Temukan $$$\frac{d}{dw} \left(\sqrt{3} \cosh{\left(w \right)}\right)$$$.
Solusi
Terapkan aturan kelipatan konstanta $$$\frac{d}{dw} \left(c f{\left(w \right)}\right) = c \frac{d}{dw} \left(f{\left(w \right)}\right)$$$ dengan $$$c = \sqrt{3}$$$ dan $$$f{\left(w \right)} = \cosh{\left(w \right)}$$$:
$${\color{red}\left(\frac{d}{dw} \left(\sqrt{3} \cosh{\left(w \right)}\right)\right)} = {\color{red}\left(\sqrt{3} \frac{d}{dw} \left(\cosh{\left(w \right)}\right)\right)}$$Turunan dari kosinus hiperbolik adalah $$$\frac{d}{dw} \left(\cosh{\left(w \right)}\right) = \sinh{\left(w \right)}$$$:
$$\sqrt{3} {\color{red}\left(\frac{d}{dw} \left(\cosh{\left(w \right)}\right)\right)} = \sqrt{3} {\color{red}\left(\sinh{\left(w \right)}\right)}$$Dengan demikian, $$$\frac{d}{dw} \left(\sqrt{3} \cosh{\left(w \right)}\right) = \sqrt{3} \sinh{\left(w \right)}$$$.
Jawaban
$$$\frac{d}{dw} \left(\sqrt{3} \cosh{\left(w \right)}\right) = \sqrt{3} \sinh{\left(w \right)}$$$A