Question

calcule a derivada da função y=x3+(4/3)x2-5x+1.

Answer 1

$y = x^3 + \frac{4}{3}x^2 - 5x + 1$

DERIVANDO:

$y' = 3 . x^{3-1} + 2 . \frac{4}{3}x^{2-1} - 1 . 5x^{1-1} + 0$

$y' = 3x^{2} + \frac{8}{3}x^{1} - 5x^{0}$

$y' = 3x^{2} + \frac{8}{3}x - 5 . 1$

$\boxed{\bold{y' = 3x^{2} + \frac{8}{3}x - 5}}$