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Turunan dari $$$x^{\frac{2}{3}}$$$
Kalkulator terkait: Kalkulator Diferensiasi Logaritmik, Kalkulator Diferensiasi Implisit dengan Langkah-langkah
Masukan Anda
Temukan $$$\frac{d}{dx} \left(x^{\frac{2}{3}}\right)$$$.
Solusi
Terapkan aturan pangkat $$$\frac{d}{dx} \left(x^{n}\right) = n x^{n - 1}$$$ dengan $$$n = \frac{2}{3}$$$:
$${\color{red}\left(\frac{d}{dx} \left(x^{\frac{2}{3}}\right)\right)} = {\color{red}\left(\frac{2}{3 \sqrt[3]{x}}\right)}$$Dengan demikian, $$$\frac{d}{dx} \left(x^{\frac{2}{3}}\right) = \frac{2}{3 \sqrt[3]{x}}$$$.
Jawaban
$$$\frac{d}{dx} \left(x^{\frac{2}{3}}\right) = \frac{2}{3 \sqrt[3]{x}}$$$A
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