Unformatted text preview: R 1 , (0 , 0) ( x,y )  ≤ 3 4 ( x 2 + y 2 ), x ≥ 0, y ≥ 0. 5. Prove that if all the second partial derivatives of f are continuous at a point ( a,b ) then f x , f y and f are all continuous at ( a,b ). 6. Find a function f ( x,y ) such that f xy (0 , 0) and f yx (0 , 0) both exist, but f xy (0 , 0) 6 = f yx (0 , 0). Prove you are correct....
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 Spring '08
 WOLCZUK
 Math, Derivative, Jacobian matrix and determinant, Taylor polynomial P2

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