Question

  Calcular a derivada de f(x) = 3x² + 5x – 12

Answer 1

f(x) = 3x² + 5x – 12 
f '(x) = 6x + 5 – 0 
f '(x) = 6x + 5

Answer 2

$f(x)=3x^2+5x-12\\\\f(x)=3x^2+5x^1-12x^0\\\\f'(x)=2\cdot(3x^{2-1})+1\cdot(5x^{1-1})+0\cdot(-12x^{0-1})\\\\f'(x)=2\cdot3\cdot\,x^1+1\cdot5\cdot\,x^0+0\\\\\boxed{f'(x)=6x+5}$