複選題

4. Set f(x, y) = x2 + 2y2. Which of the following must be true?
(A) f(x, y) is concave upward on the line $y = -x
(B) the relative minimum of f(x, y) subject to the constraint x + y = 1 is
(C) the absolute minimum of f(x, y) on its domain does not exist
(D) the minimum rate of change of f(x, y) at the point P(1, -1) is 

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