For the Potential $V = 3 x ^ { 2 } z - 2 y z ^ { 3 }$

For the potential $V = 3 x ^ { 2 } z - 2 y z ^ { 3 }$ ,what is the corresponding electric field at the point (2,2,2) ?

A) $- 24 \tilde { \mathbf { i } } + 16 \tilde { \mathbf { j } } + 36 \tilde { \mathbf { k } }$
B) $12 \tilde { \mathbf { i } } - 16 \tilde { \mathbf { j } } + - 16 \tilde{ \mathbf { k } }$
C) $24 \tilde { \mathbf { i } } - 16 \tilde{ \mathbf { j } } - 36 \tilde { \mathbf { k } }$
D) $- 6 \tilde { \mathbf { i } } + 2 \tilde { \mathbf { j } } + 6 \tilde { \mathbf { k } }$
E) The correct answer is not given.

Correct Answer:

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