Turunan dari $$$\frac{\cosh{\left(u \right)}}{3}$$$
Kalkulator terkait: Kalkulator Diferensiasi Logaritmik, Kalkulator Diferensiasi Implisit dengan Langkah-langkah
Masukan Anda
Temukan $$$\frac{d}{du} \left(\frac{\cosh{\left(u \right)}}{3}\right)$$$.
Solusi
Terapkan aturan kelipatan konstanta $$$\frac{d}{du} \left(c f{\left(u \right)}\right) = c \frac{d}{du} \left(f{\left(u \right)}\right)$$$ dengan $$$c = \frac{1}{3}$$$ dan $$$f{\left(u \right)} = \cosh{\left(u \right)}$$$:
$${\color{red}\left(\frac{d}{du} \left(\frac{\cosh{\left(u \right)}}{3}\right)\right)} = {\color{red}\left(\frac{\frac{d}{du} \left(\cosh{\left(u \right)}\right)}{3}\right)}$$Turunan dari kosinus hiperbolik adalah $$$\frac{d}{du} \left(\cosh{\left(u \right)}\right) = \sinh{\left(u \right)}$$$:
$$\frac{{\color{red}\left(\frac{d}{du} \left(\cosh{\left(u \right)}\right)\right)}}{3} = \frac{{\color{red}\left(\sinh{\left(u \right)}\right)}}{3}$$Dengan demikian, $$$\frac{d}{du} \left(\frac{\cosh{\left(u \right)}}{3}\right) = \frac{\sinh{\left(u \right)}}{3}$$$.
Jawaban
$$$\frac{d}{du} \left(\frac{\cosh{\left(u \right)}}{3}\right) = \frac{\sinh{\left(u \right)}}{3}$$$A