Prove: if is differentiable on the open interval and then there exists in the interval such that .

It's almost clear that I need to use Rolle's theorem, but how do I overcome the fact that the given is an open interval?

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- July 11th 2012, 02:55 PM #1

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## Rolle's theorem and open interval

Prove: if is differentiable on the open interval and then there exists in the interval such that .

It's almost clear that I need to use Rolle's theorem, but how do I overcome the fact that the given is an open interval?

- July 11th 2012, 04:02 PM #2