Question

PERGUNTA 4
PERGUNTA 4
A derivada da função p(x) = (x3 – x2 + 2x - 5). (x2 + x + 3) é:
a g'(x) = (3x2 - 2x + 2)(x2 + x + 3) - (x3 – x2 + 2x - 5)(2x + 1)
ob. g'(x) = (3x2 – 2x – 3)(x2 + x + 3) = (x3 + x2 + 2x - 5)(2x + 1)
Oc g'(x) = (3x2 – 2x + 2)(x² + x + 3) + (x3 – x² + 2x - 5)(2x + 1)
d. g'(x) = (3x2 – 2x + 2)(2xht 1) + (x3 - x2 + 2x - 5)(x2+x+3)
O e. g'(x) = (3x2 - 2x - 3)(x2+x+3) - (x3 - x2 + 2x - 5)(2x + 1)​

Answer 1

Explicação passo-a-passo:

p(x) = (x3 – x2 + 2x - 5). (x2 + x + 3)

p'(x) = (x³ - x² + 2x - 5)'(x² + x + 3) + (x³ - x² + 2x - 5)(x² + x + 3)'

p'(x) = (3x² - 2x + 2)(x² + x + 3) + (x³ - x² + 2x - 5)(2x + 1)