Question

Calcule a derivada de 4x². *

(A) - 8x

(B) - 16

(C) - 8

(D - 0​

Answer 1

Oie, tudo bom?

Resposta: a) 8x.

$f(x) = 4x {}^{2} \\ f'(x) = \frac{d}{dx} (4x {}^{2} ) \\ f' (x) = 4 \: . \: \frac{d}{dx} (x {}^{2} ) \\ f'(x) = 4 \: . \: 2x {}^{2 - 1} \\ f'(x) = 4 \: . \: 2x {}^{1} \\ f'(x) = 4 \: . \: 2x \\ \boxed{f'(x) = 8x}$

Att. NLE Top Shotta