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Math Help - Quotient Rule

  1. #1
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    Jan 2011
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    Quotient Rule

    The problem wants me to use the quotient rule and this is the problem


    d/dx 3x^2 + 3/ arctanx

    I can get the answer worked out as far as

    6xarctanx - (3x^2 + 3) ( 1 / (x^2 + 1) / arctan^2 x

    but the final answer in the book is

    6xarctanx - 3/ arctan^2 x


    how does it go from what I have to what the final answer should be? I figure it something simple but I just am not seeing it.
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  2. #2
    Super Member
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    Your answer and the book's answer are the same! You just need to simplify \frac{3x^2 + 3}{x^2 + 1} to 3.
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  3. #3
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    doh, I knew it was going to be something simple that I missed just had to pull out 3 from the top equation. thank you
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