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Math Help - Derivative With Natural Logs

  1. #1
    Junior Member
    Joined
    Dec 2009
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    46

    Derivative With Natural Logs

    (1+\ln x)^7

    I would have to use the general power rule rather than log properites correct . so the answer should be.

    \frac{7}{x} (1 + \ln x)^6
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  2. #2
    Junior Member
    Joined
    Feb 2010
    Posts
    26
    You must use the chain rule

    y=(1+\ln x)^7

    then

    y'=7(1+\ln x)^6 \cdot (1+\ln x)' =7(1+\ln x)^6 \cdot \displaystyle\frac{1}{x}
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