Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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.

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

    jedishrfu

    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.

    https://en.wikipedia.org/wiki/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:

    https://www.cs.drexel.edu/classes/Calculus/MATH121_Fall02/lecture14.pdf
     
    Last edited: Oct 26, 2017
  4. Oct 26, 2017 #3

    Ray Vickson

    User Avatar
    Science Advisor
    Homework Helper

    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.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: Higher order derivatives rules
  1. Higher order DE (Replies: 3)

  2. Higher-order ODE's (Replies: 5)

Loading...