Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
f(x)=(x^23x4)/(x2) Find points of increase and decrease and all relative extrema.
 one year ago
 one year ago
f(x)=(x^23x4)/(x2) Find points of increase and decrease and all relative extrema.
 one year ago
 one year ago

This Question is Closed

satellite73Best ResponseYou've already chosen the best response.0
you don't really need any calculus for this one
 one year ago

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

satellite73Best ResponseYou've already chosen the best response.0
it is a rational function with a slant asymptote at \(x1\)
 one year ago

satellite73Best ResponseYou've already chosen the best response.0
it is always increasing
 one year ago

satellite73Best ResponseYou've already chosen the best response.0
you 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)
 one year ago

satellite73Best ResponseYou've already chosen the best response.0
if you remember plotting rational functions in pre calc you may remember what something like this looks like
 one year ago

twirlereBest ResponseYou've already chosen the best response.0
That's the derivative that I got also. I was trying to find the critical points from this...
 one year ago

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

saloniiigupta95Best ResponseYou've already chosen the best response.0
Factorise the Numerator... Can you??? Then the critical points for an expression like this... \[(xa)(xb)/ (xc) \] are a,b and c...
 one year ago

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

saloniiigupta95Best ResponseYou've already chosen the best response.0
You are supposed to factor x^2  3x4 ... I think your question says so...
 one year ago

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

saloniiigupta95Best ResponseYou've already chosen the best response.0
x^2  3x  4 =x^2  4x +x 4 = x(x4) +1(x4) = (x4) (x+1)
 one year ago

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

twirlereBest ResponseYou've already chosen the best response.0
I have to find the first derivative then factor
 one year ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.