1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Find critical point of interval problem

  1. Oct 7, 2008 #1
    Can you just say that [tex] x(4-x) <4 [/tex] for [tex] x \in (0,2) [/tex]? You don't need to prove this?

    Or to prove this, just find critical point which is [tex] x = 2 [/tex]?
  2. jcsd
  3. Oct 7, 2008 #2


    User Avatar
    Homework Helper

    Re: interval

    Two ways - you can choose.
    1) Find the places where the left side is zero, pick a value of [tex] x [/tex] from each of the portions of the number line, and check whether the (left side - 4) is positive or negative at each location.
    2) Note that in [tex] (0,2) [/tex] both factors on the left are smaller than two, so...
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Discussions: Find critical point of interval problem