Derivative of $$$x^{\frac{2}{3}}$$$

The calculator will find the derivative of $$$x^{\frac{2}{3}}$$$, with steps shown.

Apply the power rule $$$\frac{d}{dx} \left(x^{n}\right) = n x^{n - 1}$$$ with $$$n = \frac{2}{3}$$$:

$${\color{red}\left(\frac{d}{dx} \left(x^{\frac{2}{3}}\right)\right)} = {\color{red}\left(\frac{2}{3 \sqrt[3]{x}}\right)}$$

Thus, $$$\frac{d}{dx} \left(x^{\frac{2}{3}}\right) = \frac{2}{3 \sqrt[3]{x}}$$$.

$$$\frac{d}{dx} \left(x^{\frac{2}{3}}\right) = \frac{2}{3 \sqrt[3]{x}}$$$A