Find the critical point of the function. Then use the Second Derivative Test to classify the nature of this point, if possible. (If an answer does not exist, enter DNE.)
f(x, y) = x^2 + 2xy + 2y^2 - 4x + 3y + 4
(x, y) =
relative minimum
Finally, determine the relative extrema of the function. (If an answer does not exist, enter DNE.)
relative minimum value
relative maximum value