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Math Help - derivatives with natural logs

  1. #1
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    derivatives with natural logs

    looking for step by step assistance. any help is greatly appreciated


    find the derivative and compute f`(1)

    f(x) = ln(x^2 + 3x + 1) ln(x^3 + 1)
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  2. #2
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    Quote Originally Posted by JGaraffa View Post
    looking for step by step assistance. any help is greatly appreciated


    find the derivative and compute f`(1)

    f(x) = ln(x^2 + 3x + 1) ln(x^3 + 1)
    What is your attempt so far?
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  3. #3
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    haven't really gotten anywhere with this one, i'm not sure if i should distribute the ln to (x^2+3x+1) and the other ln to (x^3 +1)

    so confused.
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  4. #4
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    1.use the rule  \left({fg}\right)' = f'g + fg'
    2. you get (2x+3)/(x^2+3x+1)ln(x^3+1)+3ln(x^2+3x+1)x^2/(x^3+1)
    3. compute f'(x=1).
    You'll get ln(2)+\frac{3}{2} ln(5)
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