Suppose That Over a Certain Region of Space the Electrical $V ( x , y , z ) = 8 x ^ { 2 } - 7 x y + 7 x y z$

Suppose that over a certain region of space the electrical potential V is given by $V ( x , y , z ) = 8 x ^ { 2 } - 7 x y + 7 x y z$ . Find the rate of change of the potential at $( - 1,1 , - 1 )$ in the direction of the vector $\mathbf { v } = 8 \mathbf { i } + 10 \mathbf { j } - 8 \mathbf { k }$ .

A) $- 15.099$
B) 44
C) -2.91
D) 20
E) $\text { 14. } 569856$

Correct Answer:

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