Re: Another question about derivatives
- From: The World Wide Wade <waderameyxiii@xxxxxxxxxxxxxxxxxxxx>
- Date: Mon, 26 Dec 2005 12:02:55 -0800
In article
<1135625922.654371.258210@xxxxxxxxxxxxxxxxxxxxxxxxxxxx>,
"Stephen J. Herschkorn" <sjherschko@xxxxxxxxxxxx> wrote:
> Let f be a continuous, real-valued function on the open interval
> (-1, 1). Suppose f is differentiable on (-1, 0) U (0, 1) and that
> f'(x) approaches 0 as x approaches 0. Is f necessarily
> differentiable at 0?
Yes, by the mean value theorem.
.
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