I can't quite figure out where to begin / find an equation for this problem.... I need a good push in the right direction, thanks ahead of time.The temperature at a point (*x, y, z*) is given by the following equation where *T* is measured in °C and *x, y, z* in meters. *T*(*x, y, z*) = 200*e*^((-*x*^2)(-3*y*^2)(-9*z*^2))

(a) Find the rate of change of temperature at the point *P*(2, -1, 2) in the direction towards the point (3, -3, 3).

(b) In which direction does the temperature increase fastest at *P*?

(c) Find the maximum rate of increase at *P*.

What equation do I need to use, in terms of the given variables in my problem??