Consider the function f x, y = 2 xy + x 2 a Find all...

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Mathematics 11 Practice Exam 2 Sample Solutions 1. Consider the function f ( x, y ) = 2 xy + x 2 . (a) Find all critical points of f .
(b) For each critical point, determine whether it is a local maximum, local minimum, or saddle point. 2 2
(c) Consider the rectangular region D = { ( x, y ) | - 1 x 1 , - 1 y 1 } . Determine the absolute maximum value of f on D , and state the point(s) where f attains this value.

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