Suppose that f : R R is differentiable at c and that f(c) = 0. Show

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Suppose that f : R → R is differentiable at c and that f(c) = 0. Show that g(x) := |f(x)| is differentiable at c if and only if fʹ(c) = 0.

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Introduction to Real Analysis

ISBN: 978-0471433316

4th edition

Authors: Robert G. Bartle, Donald R. Sherbert

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Question Posted: Apr 07, 2016 11:03 AM

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Suppose that f : R R is differentiable at c and that f(c) = 0. Show

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By definition gc if this limit exi...View the full answer

Introduction to Real Analysis

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