The temperature at a point $($x$,$ y$)$ on a flat metal plate is given by T$($x$,$ y$)=70/(3+$ x$2+$ y$2),$ where T is measured in $$C and x$,$ y in meters. Find the rate of change of temperature with respect to distance at the point $(2,3)$ in the x$-$direction and the y$-$direction.

$($a$)$ the x$-$direction

$$C$/$m

$($b$)$ the y$-$direction

$$C$/$m