Taylor polynomial

Calculus Level 3

Let T 3 ( x , y ) = 5 x 3 x 2 + 3 x y 2 3 y 2 + 2 y 3 T_3(x,y)=5x-3-x^2+3xy^2-3y^2+2y^3 be the Taylor polynomial of the third order of the function f ( x , y ) f(x,y) around ( 1 , 0 ) (1,0) then f x y y ( 1 , 0 ) f_{xyy}(1,0) is equal to


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12 12 0 0 3 3 6 6 4 4

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