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Math Help - Derivative of Notural Logarithm Fuction

  1. #1
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    Derivative of Notural Logarithm Fuction

    Hi I am stuck with this problem. I do not know what and how to get ride of the Square Root.

    Dx ln sqrt(3x-2)

    How do I get rid of that?


    Also,

    Is there another way to write x(ln x)^2 in a more simplier term?
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  2. #2
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    Quote Originally Posted by killasnake View Post
    Hi I am stuck with this problem. I do not know what and how to get ride of the Square Root.

    Dx ln sqrt(3x-2)

    How do I get rid of that?


    Also,

    Is there another way to write x(ln x)^2 in a more simplier term?

    \ln \sqrt{3x-2} = \ln (3x-2)^{1/2} = \frac{1}{2} \ln (3x-2)
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  3. #3
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    oh.... duh okay Thank you
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  4. #4
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    Quote Originally Posted by killasnake View Post
    Is there another way to write x(ln x)^2 in a more simplier term?
    x \left ( ln(x) \right )^2 = x \cdot ln^2(x)

    It's only a notational simplification. That's the best you can do.

    -Dan
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