The Function $f ( x , y ) = x ^ { 3 } - 3 x + y ^ { 2 } - 6 y$

question 55

Multiple Choice

The function $f ( x , y ) = x ^ { 3 } - 3 x + y ^ { 2 } - 6 y$ has a saddle point at (-1, 12) .Which of the following is a sketch of the level curves of f near this point?

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