Turunan dari $$$\frac{2 \sqrt{3} u}{3}$$$
Kalkulator terkait: Kalkulator Diferensiasi Logaritmik, Kalkulator Diferensiasi Implisit dengan Langkah-langkah
Masukan Anda
Temukan $$$\frac{d}{du} \left(\frac{2 \sqrt{3} u}{3}\right)$$$.
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 $$$c = \frac{2 \sqrt{3}}{3}$$$ dan $$$f{\left(u \right)} = u$$$:
$${\color{red}\left(\frac{d}{du} \left(\frac{2 \sqrt{3} u}{3}\right)\right)} = {\color{red}\left(\frac{2 \sqrt{3}}{3} \frac{d}{du} \left(u\right)\right)}$$Terapkan aturan pangkat $$$\frac{d}{du} \left(u^{n}\right) = n u^{n - 1}$$$ dengan $$$n = 1$$$, dengan kata lain, $$$\frac{d}{du} \left(u\right) = 1$$$:
$$\frac{2 \sqrt{3} {\color{red}\left(\frac{d}{du} \left(u\right)\right)}}{3} = \frac{2 \sqrt{3} {\color{red}\left(1\right)}}{3}$$Dengan demikian, $$$\frac{d}{du} \left(\frac{2 \sqrt{3} u}{3}\right) = \frac{2 \sqrt{3}}{3}$$$.
Jawaban
$$$\frac{d}{du} \left(\frac{2 \sqrt{3} u}{3}\right) = \frac{2 \sqrt{3}}{3}$$$A