The temperature at point (x, y, z) is given by: T (x,y,z)=100e(-x^2)-(y^2)-(7z^2 ) Where T is measured in °C and x, y, z in meters.  (a) How would I find the rate of change of temperature in (°C/m) at the point P (4, -1, 4) in the direction towards the point (6, -4, 5).     (b) In which direction does the temperature increase fastest at P?

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