Determine Whether or Not F Is a Conservative Vector Field $\mathbf { F } = \nabla f .$

Short Answer

Determine whether or not F is a conservative vector field. If it is, find a function f such that $\mathbf { F } = \nabla f .$ $\mathbf { F } = ( 6 x \cos y - y \cos x ) \mathbf { i } + \left( - 3 x ^ { 2 } \sin y - \sin x \right) \mathbf { j }$