Question

Calcule a derivada
g(x)=(1/3x-2)^2

Answer 1

Resposta:

g'(x) = (- 6) . (3x - 2)^(- 3)

Explicação passo-a-passo:

Usando a Regra da Cadeia:

f(g(x))' = f(g(x))' . g(x)'

g(x) = [1/(3x - 2)]^2

g(x) = (3x - 2)^(- 2)

g'(x) = (- 2) . (3x - 2)^(- 2 - 1) . (3x - 2)'

g'(x) = (- 2) . (3x - 2)^(- 3) . 3

g'(x) = (- 6) . (3x - 2)^(- 3)