Question

Dada a função f(x)=2x4+5x3+10x2-12x-14, a derivada da função f(x) é?

Answer 1

Pela regra do "tombo" a resposta será:

f(x)=2x4+5x3+10x2-12x-14

f(x)' = 8x³+15x²+20x-12

Answer 2

$f(x) = 2x^{4}+5x^{3}+10x^{2} -12x-14\\ \frac{df(x)}{dx}=2(4)x^{4-1}+5(3)x^{3-1}+10(2)x^{2-1} -12(1)x^{1-1}-0\\ \frac{df(x)}{dx}=8x^{3}+15x^{2}+20x^{1} -12-0\\ \frac{df(x)}{dx}=8x^{3}+15x^{2}+20x -12$