Find the Point at Which the Function $f ( x , y ) = x y - x ^ { 2 } y - x y ^ { 2 }$

question 154

Multiple Choice

Find the point at which the function $f ( x , y ) = x y - x ^ { 2 } y - x y ^ { 2 }$ has a local maximum.

• A) \(( 0,0 )\)
• B) \(( 1,1 )\)
• C) \(( 0,2 )\)
• D) \(( 2,0 )\)
• E) \(( - 1,0 )\)
• F) \(( 0 , - 1 )\)
• G) \(\left( \frac { 1 } { 3 } , \frac { 1 } { 3 } \right)\)

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