Prove that is continuous on R2 and has first-order partial derivatives everywhere on R2, but f is

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Prove that

is continuous on R2 and has first-order partial derivatives everywhere on R2, but f is not differentiable at (0, 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 04:19 AM

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Prove that is continuous on R2 and has first-order partial derivatives everywhere on R2, but f is

Question:

(x, y)关(0.0) (x, y) = (0,0) f(x, y) = X2 +y2 0

Step by Step Answer:

Clearly f is continuous and has firstorder partial derivatives at every point x y 0 ...View the full answer

An Introduction to Analysis

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