Find $f_x$, $f_y$, $f_x(3,5)$, and $f_y(-6,1)$ for the following equation.
$f(x,y) = \sqrt{x^2 + y^2}$
$f_x = ?$
(Type an exact answer, using radicals as needed.)
$f_y = ?$
(Type an exact answer, using radicals as needed.)
$f_x(3,5) = ?$
(Type an exact answer, using radicals as needed.)
$f_y(-6,1) = ?$