Evaluate $f _ { x }$ And $f _ { y }$

Multiple Choice

Evaluate $f _ { x }$ and $f _ { y }$ for the function $f ( x , y ) = 7 x ^ { 3 } + x y - y ^ { 3 }$ at the point $( 4 , - 6 )$ .

A) $f _ { x } ( 4 , - 6 ) =$ 330 and $f _ { y } ( 4 , - 6 ) =$ -132
B) $f _ { x } ( 4 , - 6 ) =$ 360 and $f _ { y } ( 4 , - 6 ) =$ -104
C) $f _ { x } ( 4 , - 6 ) =$ 330 and $f _ { y } ( 4 , - 6 ) =$ -104
D) $f _ { x } ( 4 , - 6 ) =$ 546 and $f _ { y } ( 4 , - 6 ) =$ 344
E) $f _ { x } ( 4 , - 6 ) =$ 330 and $f _ { y } ( 4 , - 6 ) =$ 112