Explain why cannot find f x y


Gradients and fields

Explain the steps on how to solve the problem below:

find a function f(x,y) such that ∇f(x,y) = (2xy+y3+1, x2+3xy2)

Explain why you cannot find f(x,y) such that ∇f(x,y) = ( x2+3xy2, 2xy+y3+1)

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Engineering Mathematics: Explain why cannot find f x y
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