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Thread: Derivative of Natural Log

  1. #1
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    Derivative of Natural Log

    What is the derivative of ln(ln(ln(1/lnx)))?
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  2. #2
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    Smile Re: Derivative of Natural Log

    Quote Originally Posted by nycmath View Post
    What is the derivative of ln(ln(ln(1/lnx)))?
    Apply the fallowing formulas

    \dfrac{d}{dx}\; ln x = \dfrac{1}{x}\;

    \dfrac{d}{dx}\;g(f(x)) = g^1(f(x)) f^1(x)

    \dfrac{d}{dx}\; ln(ln(ln(1/lnx))) = \dfrac{1}{ln(ln(1/lnx))}   \dfrac{d}{dx} [ln(ln(1/lnx))]\;

    now continue...
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    Re: Derivative of Natural Log

    Nicely done.
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