derivative

[UrbanXrisis]

I need to find the derivative of:
(x+1)/(x^2+2x+2)

I got:
[1*(x^2+2x+2)-(2x+2)(x+1)]/(x^2+2x+2)^2
(x^2+2x+2-2x^2-4x-2)/ (x^2+2x+2)^2
(-x^2-2x)/ (x^2+2x+2)^2

is this correct?

[HallsofIvy]

Yep.

(Dang, I was trying to do my Gary Cooper impression and got a "message too short" error!)