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When is a function not differentiable?

  1. Oct 25, 2011 #1
    I'm curious about the conditions for when a function f(x) is not differentiable
     
  2. jcsd
  3. Oct 25, 2011 #2
    At a point, or cusp.
    At a non-removable discontinuity (such as a jump discontinuity).
    On an asymptote.
    Probably some other places too.

    [Edit]
    Also at a place where the slope is vertical.
     
  4. Oct 26, 2011 #3
    How about any time it fails the definition of the derivative (i.e., the limit in the definition doesn't exist).
     
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