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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)
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).
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An Introduction to Analysis
Authors: William R. Wade
4th edition
132296381, 978-0132296380
