(811, #27) Suppose that over a certain region of space the electrical potential is given by .

a) Find the rate of change of the potential at in the direction of the

vector . In which direction does change most rapidly at .

c) What is the maximum rate of increase at .

Solution: Rate of change at

Increases most rapidly in the direction:

Maximum rate of change:

No Maple Code for this problem.

by: gm