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!

Demonstration of the differentiability of a continuous function

  1. Sep 29, 2010 #1
    1. The problem statement, all variables and given/known data
    I have some doubts about the demonstration of the differentiability. If I'm asked to proof that an average function is differentiable on all of it domain, lets suppose its a continuous function on all of its domain, but it has not continuous partial derivatives. How should I demonstrate that its differentiable? May I use the limit with generic points [tex](x_0,y_0)[/tex]? I mean, if I use this limit (the one with the function and the tangent plane over the square root that represents a disk), and its a differentiable function, with this generic points the limit should give zero, right?

    Bye there, thanks for posting.

    PD: I'm talking for function of two or more variables.
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted

Similar Threads - Demonstration differentiability continuous Date
Differential Equations Yesterday at 2:02 AM
Demonstration for Lp norm Feb 29, 2016
Demonstrate the matrix represents a 2nd order tensor Oct 18, 2015
Maple demonstration of kepler law Apr 19, 2014
Equivalence relation demonstration - confirmation needed, please. Feb 11, 2013