Examine the Function $f ( x , y ) = x ^ { 3 } - 12 x y + y ^ { 3 } + 4$

question 85

Multiple Choice

Examine the function $f ( x , y ) = x ^ { 3 } - 12 x y + y ^ { 3 } + 4$ for relative extrema and saddle points.

• A)saddle point: \(( 0,0,4 )\) ; relative minimum: \(( 4,4 , - 60 )\)
• B)relative minimum: \(( 0,0,4 )\) ; relative maximum: \(( 4,4 , - 60 )\)
• C)saddle points: \(( 0,0,4 )\) , \(( 4,4 , - 60 )\)
• D)saddle point: \(( 4,4 , - 60 )\) ; relative minimum: \(( 0,0,4 )\)
• E)relative minimum: \(( 4,4 , - 60 )\) ; relative maximum: \(( 0,0,4 )\)

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