# Question: the temperature at a point x y on a flat...

###### Question details

The temperature at a point (*x*, *y*) on a flat
metal plate is given by *T*(*x*, *y*) = 76/(5
+ *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 (3, 2) in the *x*-direction and the
*y*-direction.

(a) the *x*-direction. °C/m

(b) the *y*-direction. °C/m