Turunan dari $$$\pi n y$$$ terhadap $$$y$$$
Kalkulator terkait: Kalkulator Diferensiasi Logaritmik, Kalkulator Diferensiasi Implisit dengan Langkah-langkah
Masukan Anda
Temukan $$$\frac{d}{dy} \left(\pi n y\right)$$$.
Solusi
Terapkan aturan kelipatan konstanta $$$\frac{d}{dy} \left(c f{\left(y \right)}\right) = c \frac{d}{dy} \left(f{\left(y \right)}\right)$$$ dengan $$$c = \pi n$$$ dan $$$f{\left(y \right)} = y$$$:
$${\color{red}\left(\frac{d}{dy} \left(\pi n y\right)\right)} = {\color{red}\left(\pi n \frac{d}{dy} \left(y\right)\right)}$$Terapkan aturan pangkat $$$\frac{d}{dy} \left(y^{m}\right) = m y^{m - 1}$$$ dengan $$$m = 1$$$, dengan kata lain, $$$\frac{d}{dy} \left(y\right) = 1$$$:
$$\pi n {\color{red}\left(\frac{d}{dy} \left(y\right)\right)} = \pi n {\color{red}\left(1\right)}$$Dengan demikian, $$$\frac{d}{dy} \left(\pi n y\right) = \pi n$$$.
Jawaban
$$$\frac{d}{dy} \left(\pi n y\right) = \pi n$$$A