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Math Help - Differentiation of log function

  1. #1
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    Differentiation of log function

    Find an equation of the tangent line to the curve at the
    given point.

    y=ln(xe^(x)) P=(1,1)

    I know how to plug in the numbers into the Point-Slope formula once I find the derivative of the function, or slope, I'm just not sure how to derive this function.
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  2. #2
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    I also know I have to use the formula:
    ln(a*b) = ln a + ln b

    and then take the derivative to get y' but I'm confused on how to do so..
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  3. #3
    MHF Contributor chiph588@'s Avatar
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     \displaystyle{f(x)=\ln\left(xe^{x^2}\right) = \ln(x)+\ln\left(e^{x^2}\right) = \ln(x)+x^2} .

    Can you go from here?
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  4. #4
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    Yes! Thank you very much!
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