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Mathematics 12 Online
OpenStudy (anonymous):

Find crititcal numbers of the funtion

OpenStudy (anonymous):

\[\frac{ y-1 }{ y^2-y+1 }\]

zepdrix (zepdrix):

So what constitutes a critical number? Do you know how to find them? ^^

OpenStudy (anonymous):

\[\frac{ (y^2-1+1)(1)-(y-1)(2y-1) }{ (y^2-y+1)^2 }\]

zepdrix (zepdrix):

upper left part, y^2-y+1 :O not y+2-1+1

zepdrix (zepdrix):

Rest of it looks good though c:

OpenStudy (anonymous):

oh ya

zepdrix (zepdrix):

So simplify that beast down c: then what next c: hmmm

zepdrix (zepdrix):

Simplify the top i mean * c:

OpenStudy (anonymous):

\[\frac{ -y^2+2y }{ (y^2-y+1)^2 }\]

zepdrix (zepdrix):

Hmm looks good c: So critical points!! You confused about what to do next? :D

OpenStudy (anonymous):

well, should i simplify the bottom?

OpenStudy (anonymous):

or just set the top = 0

OpenStudy (anonymous):

y(y-2)=0

zepdrix (zepdrix):

Just top = 0 :D You're technically setting the entire thing equal to 0, but you just multiply through by the denominator and it goes away :)

OpenStudy (anonymous):

y=0, y =2

OpenStudy (anonymous):

=D

OpenStudy (anonymous):

thanks @zepdrix !!!!!!!!! :P

zepdrix (zepdrix):

OO gj :D im not even sure why you posted this question XD you just breezed through it! hah

OpenStudy (anonymous):

lol!!!

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