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I Higher order derivatives rules

  1. Oct 26, 2017 #1
    mod: moved from homework

    Does anyone know why and when this equation holds? I have searched online but cannot find the reason or the rules for the higher order derivatives.

    Last edited by a moderator: Oct 26, 2017
  2. jcsd
  3. Oct 26, 2017 #2


    Staff: Mentor

    Can you provide some context of where you found this equation and what you were investigating?

    It looks like ordinary power rules applied to derivatives ie derivative chain rule.


    There's a section further into the article talking about generalizations of the rule:

    Here's a presentation where they use something like this for trig derivatives:

    Last edited: Oct 26, 2017
  4. Oct 26, 2017 #3

    Ray Vickson

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    The first equality is easy: the ##(4M+4)##th derivative of ##F## is just the 4th derivative of the ##(4M)##th derivative. The second equality is false, in general, because there are many counterexamples. The ##(4M+4)##th derivative is usually not a constant (##= (-4)^M## ) times the 4th derivative.
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