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

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

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

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

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

satellite73
 one year 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
 one year 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
 one year 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
 one year ago
Best ResponseYou've already chosen the best response.0So what would the critical points be?

saloniiigupta95
 one year 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
 one year ago
Best ResponseYou've already chosen the best response.0I can't factor \[x^24x10\]

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

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

saloniiigupta95
 one year 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
 one year ago
Best ResponseYou've already chosen the best response.0And critical points are then x=4 and x=1

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