The direction derivative of the function $)=f(x,y)=(cos(xy)+x{e}^y$ at the point $P_0(2,0)$ in the direction of the vector $\frac{?}{\text{b}\text{a}\text{r}}(A)=3i-4j$ is equal to $q,$

$($a$)3$

$($b$)1$

$($c$)-1$

$($d$)i+2j$