Consider the following function.

$g(x,y)=e^{-7x^2+8y^2+16\sqrt[\phantom{2}]{6}y}$

the critical point is $(0,-\sqrt[\phantom{2}]{6})$

$-$using the critical point, find tge value of D$($a$,$b$)$ from the second partials test that is used to classify the critical point