How to take the time derivative of a potential gradient ?

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Pet Scan
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I am not that great at vector calculus , etc.
Can someone show me how to take the time rate of change of a potential gradient? (Not homework)
Thx.
 
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Pet Scan said:
I am not that great at vector calculus , etc.
Can someone show me how to take the time rate of change of a potential gradient? (Not homework)
Thx.

Consider the gravity gradient above a planet. It's time derivative is practically zero. There is no a priori reason for a gradient to have a time rate of change.

So your question makes no sense without more information.
 
Just to clarify...I didn't say a gravitational gradient. How about an electric potential gradient?
 
Pet Scan said:
Just to clarify...I didn't say a gravitational gradient. How about an electric potential gradient?

OK, why do you think it has a time rate of change?