Verify Rolles Theorem for the given interval by checking (a) = (b) and then finding a value

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Verify Rolle’s Theorem for the given interval by checking ƒ(a) = ƒ(b) and then finding a value c in (a, b) such that ƒ'(c) = 0.

THEOREM 4 Rolle's Theorem Assume that f is continuous on [a, b] and differen- tiable on (a, b). If f(a) =

f(x) = 8x 15' [3,5]

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Nov 11, 2023 08:00 AM

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Verify Rolles Theorem for the given interval by checking (a) = (b) and then finding a value

Question:

THEOREM 4 Rolle's Theorem Assume that f is continuous on [a, b] and differen- tiable on (a, b). If f(a) = f(b), then there exists a number c between a and b such that f'(c) = 0.

Step by Step Answer:

Because of is continuous on 3 5 different...View the full answer

Calculus

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