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mathcalculusBest ResponseYou've already chosen the best response.0
\[\frac{ d }{ dx} \frac{ x+8 }{ x1 }= \frac{ 1(x1) 1(x+8)}{(x1)(x1) }\]
 one year ago

mathcalculusBest ResponseYou've already chosen the best response.0
\[\frac{ 1x11x8 }{ x ^{2}2x+1 }\]
 one year ago

mathcalculusBest ResponseYou've already chosen the best response.0
\[\frac{ 9 }{ x ^{2} 2x+1 }\]
 one year ago

mathcalculusBest ResponseYou've already chosen the best response.0
then I'm stuck here :/
 one year ago

Twis7edBest ResponseYou've already chosen the best response.0
Find x in: \[\frac{ 9 }{ x^22x+1 } = 0\]
 one year ago

Twis7edBest ResponseYou've already chosen the best response.0
Remember that the value of the derivative is the slope of the line of g(x) at that point so when the first derivative is equal to zero, the slope of the curve is zero and it is therefore a critical point.
 one year ago

mathcalculusBest ResponseYou've already chosen the best response.0
that's what I did later..
 one year ago

Twis7edBest ResponseYou've already chosen the best response.0
No, when x = 0 then the function is equal to 9...find the value of x so that the dericative is equal to 0.
 one year ago

Twis7edBest ResponseYou've already chosen the best response.0
Also, since there is no solution for that equation (just realised :p) You can find at which point it is undefined.
 one year ago

mathcalculusBest ResponseYou've already chosen the best response.0
yes, i end up with 9=0 can you show me?
 one year ago

mathcalculusBest ResponseYou've already chosen the best response.0
it's undefined right? because the x is not there..
 one year ago

mathcalculusBest ResponseYou've already chosen the best response.0
unless it was something like 9x/ x^22x+1
 one year ago

mathcalculusBest ResponseYou've already chosen the best response.0
then there would be an x.
 one year ago

mathcalculusBest ResponseYou've already chosen the best response.0
but since 9 is alone... there is no critical point. right?
 one year ago

Twis7edBest ResponseYou've already chosen the best response.0
Correct, but there IS an asymptote in the graph so I'm not sure if you'd consider that a critical point in your class?
 one year ago

mathcalculusBest ResponseYou've already chosen the best response.0
whats the asymptote?
 one year ago

mathcalculusBest ResponseYou've already chosen the best response.0
how did you find 1 again?
 one year ago

Twis7edBest ResponseYou've already chosen the best response.0
Set the bottom of the function equal to zero so x^22x+1 = 0 and solve for x. No problem :D
 one year ago
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