Consider the following function on the region described by the inequality.f(x, y)=2x2+3y24x 2, g(x, y)= x2+ y216Find the gradient of f.f(x, y)=Find the critical point of f that lies in the given region.(x, y)=Find the points on the boundary of the region such thatf =g.(Order your answers from smallest to largest x, then from smallest to largest y.)(x, y)=(x, y)=(x, y)=(x, y)=Find the extreme values of f on the region described by the inequality. (If an answer does not exist, enter DNE.)maximumminimum