A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 4 years ago

Show that the absolute value function f(x) = lxl is not differentiable at x =0

  • This Question is Closed
  1. precal
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1328319445605:dw|

  2. precal
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    because you can't take the derivative at x=0 because it is a corner

  3. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    lim f( 0+h) - f(o) / h how to show it using this?

  4. precal
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I think you need to use a not h and don't forget (as x approaches 0) notation Show that the right hand limit does not equal the left hand limit

  5. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so if left hand doesnt equal right hand, that means it is not differentiable?

  6. precal
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    if the left hand limit does not equal the right hand limit, the limit does not exist. show that the derivative of the left hand limit does not equal the derivative of the right hand limit, the derivative does not exist. If the derivative does not exist then it is not differentiable use a piecewise function to describe the absolute value function

  7. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    oh ok i get it now thanks

  8. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

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
  • 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.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.