Turunan dari $$$\frac{3 u}{5}$$$
Kalkulator terkait: Kalkulator Diferensiasi Logaritmik, Kalkulator Diferensiasi Implisit dengan Langkah-langkah
Masukan Anda
Temukan $$$\frac{d}{du} \left(\frac{3 u}{5}\right)$$$.
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 $$$c = \frac{3}{5}$$$ dan $$$f{\left(u \right)} = u$$$:
$${\color{red}\left(\frac{d}{du} \left(\frac{3 u}{5}\right)\right)} = {\color{red}\left(\frac{3 \frac{d}{du} \left(u\right)}{5}\right)}$$Terapkan aturan pangkat $$$\frac{d}{du} \left(u^{n}\right) = n u^{n - 1}$$$ dengan $$$n = 1$$$, dengan kata lain, $$$\frac{d}{du} \left(u\right) = 1$$$:
$$\frac{3 {\color{red}\left(\frac{d}{du} \left(u\right)\right)}}{5} = \frac{3 {\color{red}\left(1\right)}}{5}$$Dengan demikian, $$$\frac{d}{du} \left(\frac{3 u}{5}\right) = \frac{3}{5}$$$.
Jawaban
$$$\frac{d}{du} \left(\frac{3 u}{5}\right) = \frac{3}{5}$$$A