Show that if (x, y) is differentiable at (a, b), then the function of one variable (x, b) is differentiable at x a Use this to prove that (x, y) x 2 y 2 is not differentiable at (0, 0) ...

If fx y is differentiable at a b then the partial derivatives fx and fy b ...

Show that if (x, y) is differentiable at (a, b), then the function of one variable (x,

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Show that if ƒ(x, y) is differentiable at (a, b), then the function of one variable ƒ(x, b) is differentiable at x = a. Use this to prove that ƒ(x, y) = √x²+ y²is not differentiable at (0, 0).

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Jan 16, 2024 09:01 AM

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Show that if (x, y) is differentiable at (a, b), then the function of one variable (x,

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Calculus

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