Mathematics
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OpenStudy (anonymous):
Find crititcal numbers of the funtion
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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:
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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
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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
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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!!!