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) 3xy x y 0, (x, y) (0, 0) (x, y) (0,0)...

3xy y fx y x 0 f00 lim Ar0 f00 lim Ay0 x y 00 x y 00 Ax 0 f0 0 Ax f0 A ...

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) 3x²y x² + y² 0, (x, y) = (0, 0) (x, y) = (0,0)

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3xy y fx y x 0 f00 lim Ar0 f00 lim Ay0 x y 00 x y 00 Ax 0 f0 0 Ax f0 A...View the full answer

Calculus

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