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Math Help - [SOLVED] Find Critical Points

  1. #1
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    [SOLVED] Find Critical Points

    f(x)={ln(2x)}/{x} ;[1,e]
    Find the critical points
    I used the quotient rule and got
    f'(x)= {-ln(2x)}/{x^{2}}
    and now i equal the equation to zero and them im stuck cant solve it
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  2. #2
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    This is because

    f'(x) = \frac{1 - \ln (2x)}{x^2}.

    Try solving it now.
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  3. #3
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    Still not sure. Not sure how what to do with the ln(2x) and the x^{2} on the bottom
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  4. #4
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    The only way to get \frac{1 - \ln (2x)}{x^2} = 0 is to have 1 - \ln (2x) = 0 or \ln (2x) = 1.
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  5. #5
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    So then I would only have on critical point on that interval?
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