1.

The expansion of f(x,y), is

A. f(0,0)+ ([x frac{ f}{ x}+y frac{ f}{ y}]+ frac{1}{2!} [x^2 frac{ ^2 f}{ x^2}-2xy frac{ ^2 f}{ x y}+y^2 frac{ ^2 f}{ y^2}]+ . )
B. f(0,0)+ ([x frac{ f}{ x}+y frac{ f}{ y}]+ frac{1}{2!} [x^2 frac{ ^2 f}{ x^2}+2xy frac{ ^2 f}{ x y}+y^2 frac{ ^2 f}{ y^2}]+ )
C. f(0,0)+ ([x frac{ f}{ x}+y frac{ f}{ y}]+ frac{1}{2!} [x^2 frac{ ^2 f}{ x^2}-2xy frac{ ^2 f}{ x y}-y^2 frac{ ^2 f}{ y^2}]+ )
D. f(0,0)- ([x frac{ f}{ x}+y frac{ f}{ y}]+ frac{1}{2!} [x^2 frac{ ^2 f}{ x^2}+2xy frac{ ^2 f}{ x y}+y^2 frac{ ^2 f}{ y^2}]- )
Answer» C. f(0,0)+ ([x frac{ f}{ x}+y frac{ f}{ y}]+ frac{1}{2!} [x^2 frac{ ^2 f}{ x^2}-2xy frac{ ^2 f}{ x y}-y^2 frac{ ^2 f}{ y^2}]+ )


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