Let $h ( x , y ) = x ^ { 3 } + y ^ { 3 } + 9 x y + 6$ Determine all local maxima, minima, and saddle points.Are the local extrema also global extrema?

Name: Let $h ( x , y ) = x ^ { 3 } + y ^ { 3 } + 9 x y + 6$ Determine all local maxima, minima, and saddle points.Are the local extrema also global extrema?
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Quizplus · Accepted Answer

The Answer is (0, 0)is a saddle point; (-3, -3)is a local maximum.There is no global extremum.

Let h(x,y)=x3+y3+9xy+6h ( x , y ) = x ^ { 3 } + y ^ { 3 } + 9 x y + 6h(x,y)=x3+y3+9xy+6

Let $h ( x , y ) = x ^ { 3 } + y ^ { 3 } + 9 x y + 6$