(1 point) The temperature at a point (x,y,z) is given by?(?,?,?)=200?−?2−?2/4−?2/9, where ? is measured in degrees Celsiusand x,y, and z in meters. There are lots of places to make sillyerrors in this problem; just try to keep track of what needs to bea unit vector. Find the rate of change of the temperature at thepoint (1, 1, 1) in the direction toward the point (-1, -1, -1).
In which direction (unit vector) does the temperature increasethe fastest at (1, 1, 1)?
What is the maximum rate of increase of ? at (1, 1, 1)?
