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Confused! Finding derivatives of f(x)?

  1. Apr 28, 2012 #1
    1. The problem statement, all variables and given/known data

    Find the derivative of f(x):
    f(x)= 1/ ((ln(x)^2))


    2. Relevant equations

    f(x)= ln(x)
    f'(x)= 1/((ln(x))

    3. The attempt at a solution

    Dx(1/ln(x)^2) =
    Dx((ln(x))^-2)=
    -2*(ln(x)^-3) * Dx(ln(x)) =
    -2*(ln(x)^-3) * 1/x =
    -2/(x*ln(x)^3)

    Are these the correct steps? I'm getting myself confused
     
  2. jcsd
  3. Apr 28, 2012 #2
    This is correct.
     
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