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What is the geometrical meaning of third derivative of a function at a point?

The question is now open in the sister site http://math.stackexchange.com/questions/14841/what-is-the-meaning-of-the-third-derivative-of-a-function-at-a-point If you have interesting answer to contribute please do it there!

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It is the jerk! –  Richard Kent Dec 18 '10 at 19:14
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I'm surprised at the claim it is not a "real" question. It is! For example see here. en.wikipedia.org/wiki/Jerk_%28physics%29 I feel this should be re-opened. –  Dick Palais Dec 18 '10 at 20:38
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drbobmeister, sleepless in beantown and Dick Palais: You all are right that there are plenty of great answers to this poorly phrased question. If one of you reformulates it in the form of a good question, then I'm sure everybody will support reopening it. –  Tom LaGatta Dec 18 '10 at 23:17
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Though this question does have a reasonable answer, it seems to me that it is not at the level of MO. It would be more appropriate for math.stackexchange.com. –  Andy Putman Dec 19 '10 at 1:26
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I asked the question over the sister site math.stackexchange.com/questions/14841/… My feeling is that (edited of course) this is a good MO question because it is certainly a question that is on the minds of many mathematicians in the context of teaching and also in some research contexts, and I am not aware of very good answers. –  Gil Kalai Dec 19 '10 at 9:58
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closed as too localized by Andy Putman, Theo Johnson-Freyd, Charles Siegel, Harry Gindi, Andrew Stacey Dec 20 '10 at 11:30

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