# Math Help - Find Critical Values

1. ## Find Critical Values

I need to make a derivative chart for the first derivative of...

y = (x+1) / (X^2 + 2x + 2)

I differentiated it and got y'= (-x^2) - (2x) / (x^2 + 2x + 2)^2

Can someone show me how to simplify this and get the critical values? Thanks!

2. Originally Posted by KarlosK
I need to make a derivative chart for the first derivative of...

y = (x+1) / (X^2 + 2x + 2)

I differentiated it and got y'= (-x^2) - (2x) / (x^2 + 2x + 2)^2

Can someone show me how to simplify this and get the critical values? Thanks!
$y' = \frac{-x(x+2)}{(x^2+2x+2)^2} = 0$

$-x(x+2) = 0$

critical values at $x = 0$ and $x = -2$