Question

Calcule a função: f(x) = 4√x

Calcule: f'(x) : x>0.

Answer 1

f(x)=4√x

f'(x)= (1/2)* x^(1/2-1) = (1/2)* x^(-1/2)

f'(x)= 1/(2√x)

ou

f(x)=⁴√x =x^(1/4)

f'(x)=(1/4)*x^(1/4-1)  =(1/4) * x^(-3/4) =1/(4⁴√x³)