Turunan dari $$$\frac{\sqrt{6} \sin{\left(v \right)}}{6}$$$
Kalkulator terkait: Kalkulator Diferensiasi Logaritmik, Kalkulator Diferensiasi Implisit dengan Langkah-langkah
Masukan Anda
Temukan $$$\frac{d}{dv} \left(\frac{\sqrt{6} \sin{\left(v \right)}}{6}\right)$$$.
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 $$$c = \frac{\sqrt{6}}{6}$$$ dan $$$f{\left(v \right)} = \sin{\left(v \right)}$$$:
$${\color{red}\left(\frac{d}{dv} \left(\frac{\sqrt{6} \sin{\left(v \right)}}{6}\right)\right)} = {\color{red}\left(\frac{\sqrt{6}}{6} \frac{d}{dv} \left(\sin{\left(v \right)}\right)\right)}$$Turunan fungsi sinus adalah $$$\frac{d}{dv} \left(\sin{\left(v \right)}\right) = \cos{\left(v \right)}$$$:
$$\frac{\sqrt{6} {\color{red}\left(\frac{d}{dv} \left(\sin{\left(v \right)}\right)\right)}}{6} = \frac{\sqrt{6} {\color{red}\left(\cos{\left(v \right)}\right)}}{6}$$Dengan demikian, $$$\frac{d}{dv} \left(\frac{\sqrt{6} \sin{\left(v \right)}}{6}\right) = \frac{\sqrt{6} \cos{\left(v \right)}}{6}$$$.
Jawaban
$$$\frac{d}{dv} \left(\frac{\sqrt{6} \sin{\left(v \right)}}{6}\right) = \frac{\sqrt{6} \cos{\left(v \right)}}{6}$$$A