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

Short Answer

Determine whether F is conservative. If so, find a function f such that $\mathbf { F } = \nabla f .$ . $\mathbf { F } ( x , y , z ) = 9 x ^ { 2 } y ^ { 4 } z ^ { 2 } \mathbf { i } + 12 x ^ { 3 } y ^ { 3 } z ^ { 2 } \mathbf { j } + 6 x ^ { 3 } y ^ { 4 } z \mathbf { k }$