f(x,y) = el0z-z²-8y-y Find and classify all critical points of the function. If there are more blanks than critical points, leave the remaining entries blank. f = 10-x-8y-y°(10-2:) f, = 10--Sy-y*(-8-29) frz = Sy- -8 fzy = 10x--8y-y(-8-2y) fy =10x-x-8y-y*(-8-2y)²-2) The critical point with the smallest z-coordinate is ) Classification: local maximum O (local minimum, local maximum, saddle point, cannot be determined) The critical point with the next smallest z-coordinate is ) Classification: local minimum ® (local minimum, local maximum, saddle point, cannot be determined) The critical point with the next smallest z-coordinate is ) Classification: saddle point ® (local minimum, local maximum, saddle point, cannot be determined)

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