Re: f continuous on [a,b] and differentiable on (a,b)
- From: Ronald Bruck <bruck@xxxxxxxxxxxx>
- Date: Thu, 05 Jan 2006 14:06:40 -0800
In article <1136496599.486523.85940@xxxxxxxxxxxxxxxxxxxxxxxxxxxx>,
<deniz.bahar@xxxxxxxxx> wrote:
> Why do many theorems in calculus/analysis have the hypotheses, f
> continuous on [a,b] and differentiable on (a,b)?
>
> My question is really why the endpoints are not included for the
> differentiable hypothesis. Aren't functions that are continous on
> [a,b] and differentiable on (a,b) also differentiable from one side at
> the endpoints?
>
f(x) = sqrt(1-x^2).
--Ron Bruck
.
- References:
- f continuous on [a,b] and differentiable on (a,b)
- From: deniz . bahar
- f continuous on [a,b] and differentiable on (a,b)
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