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## Main Question or Discussion Point

Find max value and min value of f(x,y)= x^2-2x+y^2 for f(x,y) in the region bounded by the triangle with vertices (1,0) (1,1) (0,1)

Im not sure if i did this right, i used second derivative test to find a min at -1, and by plugging in (0,1) i found the max to be 1. But i can only get max value by plugging in (0,1) is there another way to find max that i am missing? And is the way i did this correct?

Im not sure if i did this right, i used second derivative test to find a min at -1, and by plugging in (0,1) i found the max to be 1. But i can only get max value by plugging in (0,1) is there another way to find max that i am missing? And is the way i did this correct?