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Lect25 - Rolles Theorem Let f be a function that satisfies...

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92.131 Lecture 25 1 of 6 Ronald Brent © 2009 All rights reserved. Rolle’s Theorem Let f be a function that satisfies the following three hypotheses: 1) f is continuous on the closed interval ] , [ b a . 2) f is differentiable on the open interval ) , ( b a . 3) ) ( ) ( b f a f = Then there is a number c in ) , ( b a such that 0 ) ( = c f .
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