Question: Is there a function f which has the following partial derivatives? If so, what is it? Are there any others? f x (x, y) =

Is there a function f which has the following partial derivatives? If so, what is it? Are there any others?

fx(x, y) = 4x3y2 − 3y4,

fy(x, y) = 2x4y − 12xy3.

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