Derivado de $x^{\frac{3}{2}}$

A calculadora encontrará a derivada de

x^{\frac{3}{2}}

, com as etapas mostradas.

Encontre $\frac{d}{dx} \left(x^{\frac{3}{2}}\right)$ .

Aplique a regra de potência $\frac{d}{dx} \left(x^{n}\right) = n x^{n - 1}$ com $n = \frac{3}{2}$ :

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

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

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

Derivado de x32x^{\frac{3}{2}}x23​