Question

Dadas as funções
f(x)= 5−2x e g(x)= 3x^2−1, determine a única resposta correta para
f(5/2) − f '(5/2) / g'(5/2)

Answer 1

f (x) = 5-2x => f'(x) = 0 - 2 => f'(x) = -2
g (x) = 3x^2 - 1 => g'(x) = 3*2x - 0
=> g'(x) = 6x

fazendo:
f (5/2) = 5 - 2(5/2) => f (5/2) = 5-5 = 0
f'(5/2) = -2
g'(5/2) = 6*(5/2) => g'(x) = 15

Agora:
f(5/2) - f'(5/2)/g'(5/2)
0 - (-2)/15
2/15