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 2 years ago
f(x)=(x^23x4)/(x2) Find points of increase and decrease and all relative extrema.
 2 years ago
f(x)=(x^23x4)/(x2) Find points of increase and decrease and all relative extrema.

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satellite73
 2 years ago
Best ResponseYou've already chosen the best response.0you don't really need any calculus for this one

Xavier
 2 years ago
Best ResponseYou've already chosen the best response.0Try factoring the numerator

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.0it is a rational function with a slant asymptote at \(x1\)

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.0it is always increasing

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.0you could take the derivative and get \[\frac{x^24x+10}{(x2)^2}\] but the denominator is never negative, and neither is the numerator ( you can check that it has no zeros)

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.0if you remember plotting rational functions in pre calc you may remember what something like this looks like

twirlere
 2 years ago
Best ResponseYou've already chosen the best response.0That's the derivative that I got also. I was trying to find the critical points from this...

twirlere
 2 years ago
Best ResponseYou've already chosen the best response.0So what would the critical points be?

saloniiigupta95
 2 years ago
Best ResponseYou've already chosen the best response.0Factorise the Numerator... Can you??? Then the critical points for an expression like this... \[(xa)(xb)/ (xc) \] are a,b and c...

twirlere
 2 years ago
Best ResponseYou've already chosen the best response.0I can't factor \[x^24x10\]

saloniiigupta95
 2 years ago
Best ResponseYou've already chosen the best response.0You are supposed to factor x^2  3x4 ... I think your question says so...

twirlere
 2 years ago
Best ResponseYou've already chosen the best response.0Into... (x2)(x2)...?

saloniiigupta95
 2 years ago
Best ResponseYou've already chosen the best response.0x^2  3x  4 =x^2  4x +x 4 = x(x4) +1(x4) = (x4) (x+1)

twirlere
 2 years ago
Best ResponseYou've already chosen the best response.0And critical points are then x=4 and x=1

twirlere
 2 years ago
Best ResponseYou've already chosen the best response.0I have to find the first derivative then factor
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