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Math Help - logarithmic differentiation

  1. #1
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    logarithmic differentiation

    This is an easy question. Doing logarithmic differentiation, heres the problem:


    How do they get from y'=y(7/2 + 7/2 ln x) to the next step? I got everything else.
    Last edited by Evan.Kimia; December 15th 2009 at 06:05 PM.
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  2. #2
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    Quote Originally Posted by Evan.Kimia View Post
    This is an easy question. Doing logarithmic differentiation, heres the problem:


    How do they get from y'=y(7/2 + 7/2 ln x) to the next step? I got everything else.
    I'm afraid your image isn't working.
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  3. #3
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    Quote Originally Posted by adkinsjr View Post
    I'm afraid your image isn't working.
    here we go
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  4. #4
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    Well first of, they moved \frac{7}{2} out of the brackets, like so:

    y'=y\frac{7}{2}(1+ln(x))

    And then replaced y, with (\sqrt{x})^{7x}, because they said that y=(\sqrt{x})^{7x} in the beginning.
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  5. #5
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    Ah! Thank you.
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