The function ( f(x, y)=2 x y ) has an absolute maximum value and absolute minimum value subject to the constraint ( x^{2}+y^{2}-x y=9 ). Find the gradient of ( f(x, y)=2 x y ). [ nabla f(x, y)= langle square, square ]

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The function  ( f(x, y)=2 x y  ) has an absolute maximum value and absolute minimum value subject to the constraint  ( x^{2}+y^{2}-x y=9  ). Find the gradient of  ( f(x, y)=2 x y  ).  [  nabla f(x, y)= langle square,  square  ]

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