1. Not finding help here? Sign up for a free 30min 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!

For what values of x is │x^2-4│ not differentiable?

  1. Apr 17, 2005 #1
    For what values of x is │x^2-4│ not differentiable?
    Is there a way to solve it without looking at the graph?
     
  2. jcsd
  3. Apr 17, 2005 #2

    Hurkyl

    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    Yep. Differentiate it and see where the derivative doesn't exist.
     
  4. Apr 17, 2005 #3

    quasar987

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    You have to use the definition of the derivative (the limit).

    Notice how limit from the right and limit from the left are different as x approaches -2 and +2 from both sides.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?