$C8.(4pts)$ Let $f(x,y)=sin(xy)+ln(x+y^2).$ Which $of$ the following $is{f}_{xy}(1,1)?$

$A-sin(1)-\frac{1}{2}$

Bcos$(1)-sin(1)-\frac{1}{2}$

$C-cos(1)+sin(1)-\frac{1}{4}$

Dcos$(1)+sin(1)+\frac{1}{4}$

Ecos$(1)+sin(1)-1$