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

question 166

Multiple Choice

The function $f ( x , y ) = x ^ { 2 } - 2 y ^ { 2 }$ has one critical point. Determine its location and type.

• A) \(( 2,1 )\) , saddle point
• B) \(( 2,1 )\) , minimum point
• C) \(( 2,1 )\) , maximum point
• D) \(( \sqrt { 2 } , 1 )\) , saddle point
• E) \(( \sqrt { 2 } , 1 )\) , minimum point
• F) \(( \sqrt { 2 } , 1 )\) , maximum point
• G) \(( 0,0 )\) , saddle point
• H) \(( 0,0 )\) , minimum point

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