Question

A derivada de x(x+2)³?

Answer 1

d/dx(x(x+2)^3)
d/dx(x(x^3+6x^2+12x+8)
d/dx(x^4+6x^3+12x^2+8x)
d/dx(x^4)+d/dx(6x^3)+d/dx(12x^2)+d/dx(8x)
4x^3+18x^2+24x+8

Answer 2

$\sf\dfrac{d}{dx}\bigg[x\cdot(x+2)^3\bigg]=(x+2)^3+x\cdot3(x+2)^2=(x+2)^2[x+2+3x]\\\sf=(4x+2)\cdot(x+2)^2$