Question

derivada de y=(2x+3) . (1-x+x^2)

Answer 1

y=(2x+3) . (x^2-x+1)

y=4x^3-2x^2+3x^2+2x-3x+3

y=4x^3+x^2-x+3


y=4.3x^2+2x-1

y=12x^2+2x-1


espero ter ajudado!

Answer 2

Vamos lá

derivada de y = (2x + 3) * (1 - x + x^2)

a derivada de f(x)*g(x) = f'(x)*g(x) + f(x)*g'(x)

(2x + 3)*d/dx = 2

(1 - x + x^2)d/dx = 2x - 1

(2x + 3) * (1 - x + x^2)d/dx =

2*(1 - x + x^2) + (2x + 3)*(2x - 1)

= 2 - 2x + 2x^2 + 4x^2 + 4x - 3

= 6x^2 + 2x - 1