Determine the Nature of the Critical Points of the Function $f ( x , y ) = 3 x ^ { 5 } y + x y ^ { 5 } + x y$

question 54

Multiple Choice

Determine the nature of the critical points of the function $f ( x , y ) = 3 x ^ { 5 } y + x y ^ { 5 } + x y$

• A)f has a saddle point at (1, 0).
• B)f has a local maximum at (0, 0).
• C)f has a saddle point at (0, 1).
• D)f has a saddle point at (0, 0).
• E)f has a local minimum at (0, 0).

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