1. The problem statement, all variables and given/known data Find the absolute maximum and absolute minimum of f(x,y)=12xy-x^2 y-2xy^2 on the region bounded by x=1, y=1, and y=4/x 2. Relevant equations 3. The attempt at a solution For x=1 f(1,y)= 12y-y-2y^2 = 11y-2y^2 f'(1,y)= -4y+11=0 = -4y=-11 = y=11/4 For y=1 f(x,1)= 12x-x^2-2x = 10x-x^2 f'(x,1)= -2x+10=0 = -2x=-10 = x=5 For y=4/x I have no idea. Am I even doing these right? I am confused. Any work/help would be greatly appreciated!