Take Care!

It's important to bear in mind that just because a function is differentiable, there is no reason why it should be twice (or more times) differentiable. (Although, of course if a function is k times differentiable, then all the derivatives of lower orders have to exist too!)

Example:

Analysis WebNotes by John Lindsay Orr.
Comments to the author: jorr@math.unl.edu

All contents copyright (C) 1996 John L. Orr
University of Nebraska--Lincoln
All rights reserved

Last modified: May 1996