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

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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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Applied Calculus

ISBN: 9781119275565

6th Edition

Authors: Deborah Hughes Hallett, Patti Frazer Lock, Andrew M. Gleason, Daniel E. Flath, Sheldon P. Gordon, David O. Lomen, David Lovelock, William G. McCallum, Brad G. Osgood, Andrew Pasquale

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