Suppose that over a certain region of space the electricalpotential V is given by the following equation.
V(x, y,z) = 4x2 ?4xy + xyz
(a) Find the rate of change of the potential at P(3, 6,6) in the direction of the vector v =i + j ? k.
???
(b) In which direction does V change most rapidly atP?
???
(c) What is the maximum rate of change at P?
???
