?Are the following the vector fields conservative? If so, find the potential function f

Chapter 6, Problem 434

(choose chapter or problem)

Are the following the vector fields conservative? If so, find the potential function f such that F = ∇ f.

\(\mathbf{F}(x, y)=(6 x y) \mathbf{i}+\left(3 x^{2}-y e^{y}\right) \mathbf{j}\)

Text Transcription:

\mathbf{F}(x, y)=(6 x y) \mathbf{i}+\left(3 x^{2}-y e^{y}\right) \mathbf{j}