Hey! I'm working on some classical mechanics where I'm studying small deviations about an equilibrium point. If we call this point x0 and the small deviation x. Is there any good arguments why the change in x should be small so that one could neglect(adsbygoogle = window.adsbygoogle || []).push({});

[tex] (\frac{d}{dt}x)^2[/tex]

terms? I see this being done extensively. Are there some conditions on this being true or is it generally true?

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# If a quantity is small, is the derivative of that quantity small?

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