Find the critical points of the functions f(x, y) = x² + 2y² - 4y + 2x, g(x, y) = x² - 14xy + y Use the Second Derivative Test to determine the local minimum, local maximum, and saddle points. (Give your answer as a comma-separated list of points in the form (*, *) where needed. Express numbers in exact form. Use symbolic notation and fractions where needed. Enter DNE if the answer does not exist.)

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