Question: Use the function to show that x (0, 0) and y (0, 0) both exist, but that is not differentiable at (0,

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

f(x, y) 3xy x + y 0, (x, y) = (0, 0)

f(x, y) 3xy x + y 0, (x, y) = (0, 0) (x, y) = (0,0)

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