Question

10 pts pra quem souber resolver essa derivada urgente !!

Answer 1

Explicação passo-a-passo:

f(x) = (2x +1)^5 (x^3 -x +1)^4

(Regra da cadeia):

u = 2x+1

e

v = x^3 -x +1

-->

u' = 2

v' = 3x^2 - 1

-->

5u'^4 * v^4 + 4v'^3 * u^5

-->

f'(x) = 5*2*u^4 * (x^3-x+1)^4 + 4(3x^2 - 1)^3 * (2x+1)^5

(Simplificando):

10(2x+1)^4 * (x^3 -x +1)^4 + (2x+1)^5 * (12x^2 -4) * (x^3 -x +1)^3