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Let H=fxx(a,b)fyy(a,b)−f2xy(a,b)H = f _ { x x } ( a , b ) f _ { y y } ( a , b ) - f ^ { 2 } x y ( a , b )

Question 103

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Let H=fxx(a,b)fyy(a,b)−f2xy(a,b)H = f _ { x x } ( a , b ) f _ { y y } ( a , b ) - f ^ { 2 } x y ( a , b )
What condition on H guarantees that f has a relative extremum at the point (a,b)( a , b )

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