Question

Assinale a alternativa que contém a derivada da função $f(x)=x^{2/3}$

Answer 1

$\Large\boxed{\begin{array}{l}\underline{\rm Derivada~da~pot\hat encia}\\\sf f(x)=x^n\\\sf f'(x)=nx^{n-1}\\\sf f(x)= x^{\frac{2}{3}}\\\sf f'(x)=\dfrac{2}{3}x^{\frac{2}{3}-1} \\\\\sf f'(x)=\dfrac{2}{3}x^{-\frac{1}{3}}\\\\\sf f'(x)=\dfrac{2}{3\sqrt[\sf3]{\sf x}}\end{array}}$