Consider the following function on the set D. f(x, y) = x² + y² + x²y + 9, D = Find the following derivatives. f(x, y) = 2xy + 2x fy(x, y) = x² + 2y Find the critical point. (x, y) = (0, -1) ) Find the value of f at this critical point. Find the minimum and maximum of f on each segment of the boundary. y = -1 x = 1 y = 1 x = -1 minimum = {(x, y) | IXI ≤ 1, IYI ≤ 1} maximum absolute maximum value absolute minimum value Find the absolute maximum and minimum values of f on the set D. D = {(x, y) | IxI ≤ 1, lyl ≤ 1}

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