Non-differentiable function

  • Thread starter damabo
  • Start date
  • #1
54
0

Main Question or Discussion Point

I know that [itex]e^{rx}[/itex] is an infinitely differentiable function.
However, say you have f= x. this is clearly one time differentiable, giving 1. a second time it can be derived as well, giving 0. is 0 differentiable, indeed differentiation gives zero.
So when is a function non-differentiable. i'm thinking of cusps, such as on x=0 with the function f=|x|, or other functions where the derivative is undefined. correct? are there other cases? it would also be interesting to see a function that is only finitely differentiable.
 
Last edited:

Answers and Replies

  • #2
pwsnafu
Science Advisor
1,080
85
  • #3
54
0
that's a nice one!
 
  • #4
chiro
Science Advisor
4,790
131
  • #5
54
0
thanks, will apply that formula.
 
Top