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If f(x,y)=62x2y2f ( x , y ) = 6 - 2 x ^ { 2 } - y ^ { 2 }

Question 272

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If f(x,y)=62x2y2f ( x , y ) = 6 - 2 x ^ { 2 } - y ^ { 2 } , find fx(1,1)f _ { x } ( 1,1 ) and fy(1,1)f _ { y } ( 1,1 ) and interpret these numbers as slopes. Illustrate with sketches.

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