y' = (2x(x+2) - x^2)/(x+2)^2 = (2x^2 + 4x - x^2)/(x+2)^2 = (x^2 +4x)/(x+2)^2;
y'' = ((2x + 4)(x^2 + 4x + 4) - (x^2 + 4x)(2x + 4))/(x+2)^4 = (2x + 4)(x^2 + 4x + 4 - x^2 - 4x)/(x+2)^4 = 8(x+2)/(x+2)^4 = 8/(x+2)^3.
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y' = (2x(x+2) - x^2)/(x+2)^2 = (2x^2 + 4x - x^2)/(x+2)^2 = (x^2 +4x)/(x+2)^2;
y'' = ((2x + 4)(x^2 + 4x + 4) - (x^2 + 4x)(2x + 4))/(x+2)^4 = (2x + 4)(x^2 + 4x + 4 - x^2 - 4x)/(x+2)^4 = 8(x+2)/(x+2)^4 = 8/(x+2)^3.