Find the gradient of the function $g(x,y) = \frac{2y}{x^2+2}$ at the point $(1, 6)$. Then sketch the gradient together with the level curve that passes through the point.
First find the gradient vector at $(1, 6)$.
$\nabla g(1, 6) = \boxed{}i + \boxed{}j$ (Simplify your answers.)