Consider the function f x y 4x x 14y y Find and classify all critical points of the function If there are more blanks than

Question

Consider the function f x y 4x x 14y y Find and classify all critical points of the function If there are more blanks than critical points leave the remaining entries blank fx fy fxx fyy There are several critical points to be listed List them lexicograhically that is in ascending order by x coordinates and for equal x coordinates in ascending order by y coordinates e g 1 1 2 1 2 3 is a correct order The critical point with the smallest x coordinate is Classification minimum local maximum saddle point cannot be determined The critical point with the next smallest x coordinate is Classification minimum local maximum saddle point cannot be determined The critical point with the next smallest x coordinate is Classification minimum local maximum saddle point cannot be determined The critical point with the next smallest x coordinate is Classification minimum local maximum saddle point cannot be determined The critical point with the next smallest x coordinate is Classification minimum local maximum saddle point cannot be determined local local local local local

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