Question

Questão 2:
Determine a derivada de y = (5/2) . x (3/2)
Respostas objetivas
A) (5/2) . (3/2) . x^(1/2)
B) (5/2) . (3/2) . x^(3/2)
C) (5/2) . (5/2) . x^(1/2)
D) (5/3) . (3/2) . x^(1/2)
E) (5/2) . (3/5) . x^(1/2)

Answer 1

Lembrando que:

y = x^n
y' = n . x^(n-1)

y = (5/2) . x (3/2)

y' = (3/2) . (5/2) . x ^(3/2   - 1)
y' = (3/2) . (5/2) . x ^(1/2)

Letra A