Determine whether or not F is a conservative vector field. If it is$,$ find a function f such that F $=$f$.$

F$($x$,$ y$)=(2$x $5$y$)$i $+(5$x $+4$y $8)$j

Step $1$

Recall that a vector field

F$($x$,$ y$)=$ P$($x$,$ y$)$i $+$ Q$($x$,$ y$)$j

is conservative if

$$Q$$x

$=$