xplain why the function is differentiable at the given point f ( x , y ) 6 x ln ( xy 5 ) , ( 3 , 2 ) The partial derivatives are fx ( x , y ) and fy ( x , y ) , so fx ( 3 , 2 ) and fy ( 3 , 2 ) Both fx and fy are continuous functions forxy andfis differentiable at ( 3 , 2 ) Find the linearization L ( x , y ) of f ( x , y ) at ( 3 , 2 ) L ( x , y )

Question

xplain why the function is differentiable at the given point  f ( x , y )   6   x ln ( xy 5 ) , ( 3 , 2 ) The partial derivatives are fx ( x , y )   and fy ( x , y )   , so fx ( 3 , 2 )   and fy ( 3 , 2 )     Both fx and fy are continuous functions forxy   andfis differentiable at ( 3 , 2 )   Find the linearization L ( x , y ) of f ( x , y ) at ( 3 , 2 )   L ( x , y )

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xplain why the function is differentiable at the given point. f ( x , y ) = 6 + x ln ( xy 5 )

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