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 $\mathbf { F } = \nabla f .$ $\mathbf { F } = \left( 8 y e ^ { 8 x } + \sin y \right) \mathbf { i } + \left( e ^ { 8 x } + x \cos y \right) \mathbf { j }$