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Consider the following function. f ( x, y) = x2+ y2 + x2y+ 5 Find the following derivatives. fx (x, y ) = fy (
Consider the following function. f ( x, y) = x2+ y2 + x2y+ 5 Find the following derivatives. fx (x, y ) = fy ( x, y ) = Find the critical point. ( x, y ) = Find the value of f at this critical point. Find the minimum and maximum of f on each segment of the boundary. minimum maximum y=-1 X = 1 y =1 X = -1 Find the absolute maximum and minimum values of f on the set D. D = ( x, y) Ixl s 1, lyl s 1) absolute maximum value absolute minimum value
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