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Find the critical numbers of the function.

  • Thread starter phillyolly
  • Start date
  • #1
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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?

Homework Statement





Homework Equations





The Attempt at a Solution

 

Answers and Replies

  • #2
LCKurtz
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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.
 

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