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When is a function not differentiable?

  • Thread starter Manni
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  • #1
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I'm curious about the conditions for when a function f(x) is not differentiable
 

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  • #2
768
4
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.
 
  • #3
537
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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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