(1 point) Determine whether or not $F(x, y) = \left<2xy - \frac{4}{y} - y, x^2 + \frac{12x}{y^4}\right>$ is a conservative vector field.\\
$\frac{\partial P}{\partial y} = $\\
$\frac{\partial Q}{\partial x} = $\\
therefore\\A. F is conservative\\B. F is NOT conservative\\If F is conservative, find a function $f$ such that $F = \nabla f$. If one does not exist write \"DNE\"\\$f = $ + K