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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:

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


    Staff: Mentor

    Try writing your function as f(x) = (5x - 1)^(-1). That will make differentiating easier.
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