Use Taylor's Formula to Find the Requested Approximation of F(x $f ( x , y ) = \frac { 1 } { 1 + 6 x + y }$

Multiple Choice

Use Taylor's formula to find the requested approximation of f(x, y) near the origin.
-Quadratic approximation to $f ( x , y ) = \frac { 1 } { 1 + 6 x + y }$

A) $1 - 6 x - y + 36 x ^ { 2 } + 6 x y + y ^ { 2 }$
B) $1 - 6 x - y + 36 x ^ { 2 } + 12 x y + y ^ { 2 }$
C) $1 + 6 x + y + 36 x ^ { 2 } + 12 x y + y ^ { 2 }$
D) $1 + 6 x + y + 36 x ^ { 2 } + 6 x y + y ^ { 2 }$