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Rate of change

The temperature T in a metal ball is inversely proportional to the distance from the center of the ball, which we take to be the origin. The temperature at the point (1,2,2) is 120 degrees.

Find the rate of change of T at (1,2,2) in the direction toward the point (2,1,3)

Show that at any point in the ball the direction of greatest increase in temperature is given by a vector that points toward the origin

Solution Summary

This provides an example of finding rate of change in a given direction.