A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 5 years ago

Does the derivative for |x| not exist at 0?

  • This Question is Closed
  1. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @loki, you should consider the derivative from the left side and the derivative from the right side. consider those, then reconsider the idea of derivative of |x| at 0

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

    $$f \left( x \right) = \left| x \right|, f \prime(x)$$

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

    from the right, the function resembles y=x, from the left y=-x

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

    Yes, the derivative of |x| does not exist at zero, look guy when we draw the graph of it you will have a sharp point at the origin differentiability guarantees the smooth points remember the surface of the jack fruit.

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

    you can draw as many tangent line at x=0, that's why at x=0,|x| is not differentiable.

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

    The derivative does not exist at sharp corners or cusps

  7. 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.