Suppose that f: X Y is differentiable at x and its derivative is nonsingular. Suppose further that

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Suppose that f: X †’ Y is differentiable at x and its derivative is nonsingular. Suppose further that f has an inverse f-1: Y †’ X that is continuous (i.e., f is a homeomorphism). Then f-1 is differentiable at x with

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Foundations of Mathematical Economics

ISBN: 978-0262531924

1st edition

Authors: Michael Carter

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Question Posted: May 02, 2016 11:50 AM

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Suppose that f: X Y is differentiable at x and its derivative is nonsingular. Suppose further that

Question:

Df-11x) = (Df(x)-1

Step by Step Answer:

Fix some x 0 and let x 0 1 Let y 0 x 0 For any y let x 1 y 0 y 1 y 0 so ...View the full answer

Foundations of Mathematical Economics

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