Drexel dragonThe Math ForumDonate to the Math Forum



Search All of the Math Forum:

Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.


Math Forum » Discussions » sci.math.* » sci.math.independent

Topic: Differentiability
Replies: 8   Last Post: Mar 1, 2013 6:22 PM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
Robin Chapman

Posts: 288
Registered: 5/29/08
Re: Differentiability
Posted: Feb 21, 2013 6:37 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

On 21/02/2013 04:13, William Elliot wrote:
> A problem from
> http://at.yorku.ca/cgi-bin/bbqa?forum=ask_an_analyst&task=list
>
> Suppose f(x)= e^(-1/x^2) for x not equal to 0, and f(0)=0.
>
> Without using l'hopital's rule, prove f is differentiable at 0 and
> that f'(0)=0.


This is a very standard example.

A tougher problem would be to prove this *using* The Hospital's rule :-)




Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© Drexel University 1994-2014. All Rights Reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.