Question

Calcule a derivada de F(x)=$\sqrt[3] x^{4}$.

Answer 1

Resposta:

f(x)=∛x⁴ =x^(4/3)

f'(x)=(4/3)*x^(4/3 -1)

f'(x)=(4/3)* x^(1/3)

f'(x)=(4/3)*∛x

Observe:

Famosa regra do Tombo

f(x)=a*x^(b)               a e b são constantes

f'(x) = a* b * x^(b-1)