f continuous on [a,b] and differentiable on (a,b)
- From: deniz.bahar@xxxxxxxxx
- Date: 5 Jan 2006 14:01:58 -0800
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?
.
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