Find the critical numbers of the function.

[phillyolly]

Homework Statement

g(y)=(y-1)/(y²-y+1)

Homework Equations

The Attempt at a Solution

After I take a derivative, I get
g'(y)=[y(y-2)]/(y²-y+1)²

However,
(y²-y+1)² does not have any solutions. Am I right that I just throw it away? As an answer, I only leave
y1=0, y2=2

Is that correct?

 

[LCKurtz]

Homework Statement

g(y)=(y-1)/(y²-y+1)

Homework Equations

The Attempt at a Solution

After I take a derivative, I get
g'(y)=[y(y-2)]/(y²-y+1)²

However,
(y²-y+1)² does not have any solutions. Am I right that I just throw it away? As an answer, I only leave
y1=0, y2=2

Is that correct?

I wouldn't say "throw it away". I would just observe that the denominator is always positive. And I think you have a minus sign missing but your critical numbers are correct.