Show there does not exist a continuously differentiable function f on [0, 2] such that f(0) =

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Show there does not exist a continuously differentiable function f on [0, 2] such that f(0) = -1, f(2) = 4, and fʹ(x) < 2 for 0 < x < 2. (Apply the Fundamental Theorem.)
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Introduction to Real Analysis

ISBN: 978-0471433316

4th edition

Authors: Robert G. Bartle, Donald R. Sherbert

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