Hey i'm having difficulty solving this problem:

Find the absolute maximum and minimum values offon the setD.

f(x, y) =xy2 + 7D= {(x, y) |x≥ 0,y≥ 0,x2 +y2 ≤ 3}

I tried doing this:

fx = y^2

fy = 2xy

critical point: (0,0)

then i got $\displaystyle y^2 = 3-x^2$ and plugging that in to the original to get $\displaystyle g(x) = f(x,y) = -x^3+3x+7$. setting that equal to zero i get x=1,-1. but i'm totally lost on what to do from here (or even if i've started correctly). Any and all help is greatly appreciated.

Thanks.