Question: Consider the function f ( x , y ) = x 2 y + y 2 - 2 x y . ( i ) Determine

Consider the function f(x,y)=x2y+y2-2xy.
(i) Determine all of the critical points off(x,y)
(ii) For each critical point, determine what the second derivative test tells us about the behavior
off(x,y)at the critical point.
Consider the function f ( x , y ) = x 2 y + y 2 -

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