Question

Find the max and min of f on the set D.
\[f(x,y)=xy ^{2}, \ D={[(x,y) \ | \ x \ge 0, \ y \ge 0, \ x ^{2}+y ^{2} \le 3]}\]

Answer 1

\[f_x=y ^{2}=0... \ y=0 \\ f_y=2xy=0... \ x=0\] So, f(0,0)=0, but I'm not sure what to do from here.