Find all the local maxima, minima, and saddle points of the function f ( x , y ) 1 0 x y ( x y ) 5 A ) f ( 0 , 0 ) 5 , saddle point f ( 1 0 , 1 0 ) 2 0 , 0 0 5 , local maxdmum B ) f ( 1 0 , 1 0 ) 2 0 , 0 0 5 , local maximum C ) f ( 0 , 0 ) 5 , test is inconcluslve D ) f ( 1 0 , 0 ) 5 , local minimum f ( 0 , 1 0 ) 5 , local minimum

Question

Find all the local maxima, minima, and saddle points of the function f ( x , y )     1 0 x y ( x   y )   5 A ) f ( 0 , 0 )   5 , saddle point  f (   1 0 ,   1 0 )   2 0 , 0 0 5 , local maxdmum B ) f (   1 0 ,   1 0 )   2 0 , 0 0 5 , local maximum C ) f ( 0 , 0 )   5 , test is inconcluslve D ) f (   1 0 , 0 )   5 , local minimum  f ( 0 ,   1 0 )   5 , local minimum

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Find all the local maxima, minima, and saddle points of the function f ( x , y ) = - 1 0 x y (

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