Question

Encontre a derivada de f(x) = x⁴/3 + 2/x²

Answer 1

$f(x)=\dfrac{x^4}{3}+\dfrac{2}{x^2}=\dfrac{x^4}{3}+2x^{-2}\\\\f'(x)=\dfrac{4x^{4-1}}{3}+2(-2)x^{-2-1}\\\\f'(x)=\dfrac{4x^3}{3}-4x^{-3}\\\\\boxed{f'(x)=\dfrac{4x^3}{3}-\dfrac{4}{x^3}}$

Espero ter ajudado :)