Question

qual a derivada da função f(x) = 2x^2 - 2x + c

Answer 1

Explicação passo-a-passo:

$f(x) = 2 x^{2} - 2x + c \\ f' \: \: (x) = \frac{d}{dx}(2x {}^{2} - 2x + c) \\ f' \: \: (x) = \frac{d}{dx} (2x {}^{2}) + \frac{d}{dx}( - 2x) + \frac{d}{dx}(c) \\ f' \: \: (x) = 2 \times 2x + \frac{d}{dx}( - 2x) + \frac{d}{dx}(c) \\ f' \: \: (x) = 2 \times 2x - 2 + \frac{d}{dx}(c) \\ f' \: \: (x) = 2 \times 2x - 2 + 0 \\ f' \: \: (x) = 4x - 2$