Use the function to show that x (0, 0) and y (0, 0) both exist,
Question:
Use the function to show that ƒx(0, 0) and ƒy(0, 0) both exist, but that ƒ is not
differentiable at (0, 0).
Transcribed Image Text:
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
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