Prove that if (x, y) is differentiable and (x,y) = 0 for all (x, y), then

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Prove that if ƒ(x, y) is differentiable and ∇ƒ(x,y) = 0 for all (x, y), then ƒ is constant.

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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