Let g(x) = f(x) 2, where f is twice differentiable for all x, f(x) > 0 for

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Let g(x) = f(x) 2, where f is twice differentiable for all x, f’(x) > 0 for all x ≠ 0, and f is concave downward on (– ∞, 0) and concave upward on (0, ∞).
(a) At what numbers does g have an extreme value?
(b) Discuss the concavity of g.

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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: Jun 30, 2010 11:28 PM

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Let g(x) = f(x) 2, where f is twice differentiable for all x, f(x) > 0 for

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a gx fx gx 2x fx by the Chain Rule Since fx 0 for all a 0 we must ...View the full answer

Introduction to Real Analysis

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