Suppose that f: Rn Rm is differentiable at a, and that g: Rm R is

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Suppose that f: Rn → Rm is differentiable at a, and that g: Rm → R is differentiable at b = f(a). Prove that if g(b) is a local extremum of g, then (g o f)(a) = 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 04:23 AM

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Suppose that f: Rn Rm is differentiable at a, and that g: Rm R is

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An Introduction to Analysis

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