Suppose that f is twice differentiable on (a, b) and that there are points x1 < x2

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Suppose that f is twice differentiable on (a, b) and that there are points x1 < x2 < x3 in (a, b) such that f(x1) > f(x2) and f(x3) > f(x2). Prove that there is a point c ∈ (a, b) such that fʹʹ(c) > 0.

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An Introduction to Analysis

ISBN: 978-0132296380

4th edition

Authors: William R. Wade

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Question Posted: Mar 29, 2016 04:00 AM

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Suppose that f is twice differentiable on (a, b) and that there are points x1 < x2

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By the Mean Value Theorem 0 fx 1 fx 2 x 1 x 2 fc 1 for some ...View the full answer

An Introduction to Analysis

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