Question

qual a derivada de raiz cúbica de X?

Answer 1

$f(x)= \sqrt[3]{x} \\\\f(x)=x^{ \frac{1}{3} }\\\\f(x)'= \frac{1}{3} \ .\ x^{ \frac{1}{3} -1}\\\\f(x)'= \frac{1}{3} \ .\ x^{ \frac{1}{3} - \frac{3}{3} }\\\\f(x)'= \frac{1}{3} \ .\ x^{ -\frac{2}{3} }\\\\f(x)'= \frac{1}{3}\ .\ \frac{1}{x^{ \frac{2}{3} }} \\\\f(x)'= \frac{1}{3} \ .\ \frac{1}{ \sqrt[3]{x^{2}} } \\\\\boxed{\boxed{\ \ f(x)'= \frac{1}{3 \sqrt[3]{x^{2}} } \ \ \ }}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ ok$