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!

Derivative problem

  1. Nov 3, 2009 #1
    1. The problem statement, all variables and given/known data
    Let [tex]f(x)=\frac{1}{5x-1}, x\neq 1/5.[/tex] Derive a formula for the n-th derivative [tex]f^{n}(x).[/tex]


    2The attempt at a solution
    I have part of the answer right, but I can't figure out the rest. So far, this is what I have:
    [tex]f^{n}(x)=\frac{-5^{n}}{(5x-1)^{n-1}}[/tex]

    I'm pretty sure I have the denominator right. I just need help finishing up the numerator.
     
  2. jcsd
  3. Nov 3, 2009 #2

    Mark44

    Staff: Mentor

    Try writing your function as f(x) = (5x - 1)^(-1). That will make differentiating easier.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Derivative problem
  1. Derivative Problem (Replies: 5)

  2. Derivative problem (Replies: 3)

  3. Derivative problem (Replies: 10)

Loading...