Consider the function x, :1) = (63 s 5'32)(6y~ 112)- Find and classify all critical points of the function. If there are more blanks than critical points, leave the remaining entries blank. fLE = fl = in = is: is: 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 ycoordinates (e.g., (1,1), (2, 1), (2, 3) is a correct order) The critical point with the smallest xcoordinate is I . I . . I ( ) Classmcation: (local minimum, local maXImum, saddle point, cannot be determined) 1 The critical point with the next smallest xcoordinate is I . I . . . ( , ) Cla33ification: (local minimum, local maXImum, saddle point, cannot be determined) The critical point with the next smallest xcoordinate is I . I . . . ( , ) Classification: (local minimum, local maXImum, saddle point, cannot be determined) The critical point with the next smallest xcoordinate is ' h ' ' ' I ( , ) Classification: (local minimum, local maXImum, saddle point, cannot be determined) The critical point with the next smallest xcoordinate is ' . ' . . . l . ) C|a55ificationz (local minimum. local maXImum