If a function is countinous on the closed interval and diffrenciable on the open interval . Then is countinous on the closed interval . It seems true, I was not able to find any counterexamples.

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- February 6th 2006, 07:45 PMThePerfectHackerCountinous after derivative
If a function is countinous on the closed interval and diffrenciable on the open interval . Then is countinous on the closed interval . It seems true, I was not able to find any counterexamples.

- February 6th 2006, 10:44 PMCaptainBlackQuote:

Originally Posted by**ThePerfectHacker**

RonL - February 7th 2006, 03:00 PMThePerfectHackerQuote:

Originally Posted by**CaptainBlack**

Well, it is true that the endpoint is not countinous (end of stick) okay thus, what about the open interval? - February 7th 2006, 09:14 PMCaptainBlackQuote:

Originally Posted by**ThePerfectHacker**

interval , differentiable on , but its derivative is not continuous

on .

RonL - February 8th 2006, 07:22 PMThePerfectHacker
I agree with you,

but what about if discountinous on an open interval? Is that possible?