$(8)$ Suppose $f(x,y)$ has continuous partial derivatives throughout the first quadrant of the $xy$ plane and the tables below give some values of $f,f_x$ and $f_y.$

Which choice below gives the $x-$partial of $g(x,y)=x+yf(x,y)$ at $x=1$ and $y=2?$

$\backslash$table$[[y,1,2,3],[x,,,],[1,6,1,-4],[2,-2,-2,4],[3,-1,2,1]]$

$\backslash$table$[[y,1,2,3],[x,,,],[2,4,2,9],[3,0,-4,3],[2,3,,]]$

$\backslash$table$[[y,1,2,3],[1,4,2,7],[2,3,-6,3],[3,5,7,-3]]$

Values of $f(x,y)$

Values of $f_x(x,y)$

Values of $f_y(x,y)$

$g_x(x\frac{,}{b}ar(y))=1+yf(x,y)$