Consider the following partial derivatives. fx$($x$,$ y$)=5$ sin$(5$x $7$y$),$ fy$($x$,$ y$)=7$ sin$(5$x $7$y$)$

Determine whether there exists a function

f$($x$,$ y$)$

with the given partial derivatives. If such a function exists, give an example. $($If an answer does not exist, enter DNE.$)$