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Math Help - Relative max and min

  1. #1
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    Relative max and min

    I need to find the relative max and min, but I'm having a little trouble finding the derivative. Do I use the log rule then the power rule?

    y=(ln3x)^2
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  2. #2
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    Quote Originally Posted by hotblonde View Post
    I need to find the relative max and min, but I'm having a little trouble finding the derivative. Do I use the log rule then the power rule?

    y=(ln3x)^2
    Use the chain rule.

    Spoiler:
    Let u = \ln (3x) \Rightarrow \frac{du}{dx} = \frac{1}{x} and y = u^2.


    Spoiler:
    Then \frac{dy}{dx} = \frac{dy}{du} \cdot \frac{du}{dx}.


    Spoiler:
    Then substitute back that u = \ln (3x).


    Spoiler:
    Tut tut. You have to do at least some of the work, you know.
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