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The title says it all. This is a question that has been nagging at me for some time. Mathematically, the first derivative is not really any different from the second derivative, or the $k$-th. So I ask, what is so special about the second derivative?

Abhimanyu Pallavi Sudhir
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D Wiggles
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  • Related: http://physics.stackexchange.com/q/34001/ – Brandon Enright Dec 14 '13 at 07:40
  • conservation of momentum doesn't involve 2nd derivative but it is the fundamental law of nature. Farady's law states that $\mathcal{E} = -N {{d\Phi_B} \over dt} $ this doesn't involve 2nd derivative. Rather first derivative seems more inherent to nature. – user31782 Dec 14 '13 at 08:43
  • Possible duplicates: http://physics.stackexchange.com/q/18588/2451 , http://physics.stackexchange.com/q/4102/2451 and links therein. – Qmechanic Dec 14 '13 at 09:41

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