The temperature at a point

$($x$,$ y$)$

on a flat metal plate is given by

T$($x$,$ y$)=$

$40(3+$ x$2+$ y$2)$

$,$

where T is measured in $$C and x$,$ y in meters. Find the rate of change of temperature $($in $$C$/$m$)$ 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