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

This question is now asked on 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 an interesting answer to contribute, please do it there!

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closed as too localized by Andy Putman, Theo Johnson-Freyd, Charles Siegel, Harry Gindi, Loop Space Dec 20 '10 at 11:30

This question is unlikely to help any future visitors; it is only relevant to a small geographic area, a specific moment in time, or an extraordinarily narrow situation that is not generally applicable to the worldwide audience of the internet. For help making this question more broadly applicable, visit the help center.If this question can be reworded to fit the rules in the help center, please edit the question.

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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