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Natural Logarithm Derivative question

  1. Nov 18, 2006 #1
    Hi all,

    I'm a bit puzzled by one of my homework questions. I got an answer, but I have nothing to check it with and I'm not sure that my answer is correct.

    The question states that y=ln(ln(ln(x))), and asks for y'. This is what I've done, but it seems a bit too simple to me.

    y=ln(ln(ln(x)))
    y'=1/[ln(ln(x)]*(d/dx)[(ln(ln(x))]
    y'=1/[ln(ln(x)]*1/[ln(x)]*(d/dx)[ln(x)]
    y'=1/[ln(ln(x)]*1/[ln(x)]*1/[x]

    If someone could tell me if the answer is right or wrong (and preferably why its wrong), that'd be very much appreciated.

    Thanks,
    illu45
     
  2. jcsd
  3. Nov 18, 2006 #2

    arildno

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    It looks right to me.:smile:
     
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