1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Induction proof of nth derivative

  1. Sep 22, 2008 #1
    Show by induction that the nth derivative f(n)(x) of;



    f(n)(x)= -[tex]\frac{(2n)!}{4^{n}n!(2n-1)}[/tex]*(1-x)(1/2)-n

    for n [tex]\geq[/tex] 1.
  2. jcsd
  3. Sep 22, 2008 #2
    For n=1 it works.

    For n=k-1 assume that it works. Write n=kth derivative as the derivative of the expression for k-1, i.e d(f(k-1)(x))/(dx). Taking the derivative the result follows.
  4. Sep 22, 2008 #3


    User Avatar
    Staff Emeritus
    Science Advisor
    Homework Helper

    Homework questions should be posted in the homework section of this forum.

    Also, you must show an attempt at a solution before we can help you.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook