Suppose that over a certain region of space the electrical potential V is given by the...

Suppose that over a certain region of space the electrical potential 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.
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(b) In which direction does V change most rapidly at P?

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(c) What is the maximum rate of change at P?

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Expert Solution

Colby Messinger answered 2 years ago

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