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Differentiate ln ln ln x^3

  1. Nov 28, 2007 #1
    1. The problem statement, all variables and given/known data
    ln ln ln x^3


    2. Relevant equations



    3. The attempt at a solution
    My teacher was going over the review for the final and this was one of the questions. He said the answer is 1/ln ln x^3 but I don't know how to get that....can someone please help me...thank you!
     
  2. jcsd
  3. Nov 28, 2007 #2

    rock.freak667

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    Homework Helper

    y=ln ln ln x^3

    Let t= lnx[itex]^3[/itex]

    so you have y= ln lnt

    Let u=lnt

    so you have y=lnu

    by the chain rule

    [tex]\frac{dy}{dx}=\frac{dy}{du}*\frac{du}{dt}*\frac{dt}{dx}[/tex]
     
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