Prove the following Extended Mean Value Theorem If and ' are continuous on the closed interval a, b , and if exists in the open interval (a, b), then there exists a number c in (a, b) such that (b) f(a) f'(a)(b a) (c)(b a) ...

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Prove the following Extended Mean Value Theorem. If and ' are continuous on the closed interval

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Prove the following Extended Mean Value Theorem. If ƒ and ƒ' are continuous on the closed interval [a, b], and if ƒ" exists in the open interval
(a, b), then there exists a number c in (a, b) such that

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Calculus

ISBN: 9781285057095

10th Edition

Authors: Ron Larson, Bruce H. Edwards

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Question Posted: Feb 18, 2023 01:13 AM

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Prove the following Extended Mean Value Theorem. If and ' are continuous on the closed interval

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ƒ(b) = f(a) + f'(a)(b − a) + − ƒ”(c)(b − a)². - -

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