Show that if f a, b R is differentiable on (a, b) and f 0, then c (a, b) such that f'(c) f(c) a c 1 b c Hint Consider the function h(x) f(x)(x a)(x b) Show that if f a, b R is differentiable on (a, b) and f 0, then c (a, b) such that f'(c) f(c) a c 1 b c Hint Consider the function h(x) f(x)(x a)(x...

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Show that if f: [a, b] R is differentiable on (a, b) and f 0, then...

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An Introduction to Analysis

ISBN: 978-0132296380

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Authors: William R. Wade

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Show that if f: [a, b] R is differentiable on (a, b) and f 0, then...

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An Introduction to Analysis

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