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Suppose f(x,y)=x^2+y^2+x^2y+6 and D={(x,y):|x|≤1,|y|≤1}. Find the absolute maximum and minimum on D?
I found the gradient of f (2x+2xy 2y+x^2) and then the critical points (rad2,-1), (-rad2,-1) and plugged them into the hessian and found they were both local maximums but I do not know where to go from here.
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