Use the function to show that x (0, 0) and y (0, 0) both exist, but that is not differentiable at (0, 0) f(x, y) 5xy x 0, (x, y) (0, 0) (x, y) (0, 0)...

fx y 5x y x x 0 f00 lim Ax0 f0 0 lim Ay0 x y 00 Ax 0 f0 0 Ax Alon ...

Use the function to show that x (0, 0) and y (0, 0) both exist,

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Use the function to show that ƒ_x(0, 0) and ƒ_y(0, 0) both exist, but that ƒ is not differentiable at (0, 0).

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Calculus

ISBN: 9781285057095

10th Edition

Authors: Ron Larson, Bruce H. Edwards

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Question Posted: Mar 29, 2023 02:00 AM

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Use the function to show that x (0, 0) and y (0, 0) both exist,

Question:

f(x, y) = = 5x²y x³ +³ 0, (x, y) = (0, 0) (x, y) = (0, 0)

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fx y 5x y x x 0 f00 lim Ax0 f0 0 lim Ay0 x y 00 Ax 0 f0 0 Ax Alon...View the full answer

Calculus

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