Determine Whether $\mathbf { F }$ Is Conservative $f$ Such That $\mathbf { F } = \nabla f$

Short Answer

Determine whether $\mathbf { F }$ is conservative. If so, find a function $f$ such that $\mathbf { F } = \nabla f$ .
$$\mathbf { F } ( x , y ) = \left( 14 x - 14 x ^ { 2 } y \right) e ^ { - 2 x y } \mathbf { i } - 14 x ^ { 3 } e ^ { - 2 x y } \mathbf { j }$$