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Math Help - derivatives

  1. #1
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    derivatives

    this is a little overwhelming

    where to start?

    y= [(e^x + e^pi)*(fourth root (x + 2))] / sqrt(x^2 + 7)

    product rule? quotient rule? power rule? chain rule? agh!
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  2. #2
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    Quote Originally Posted by buttonbear View Post
    this is a little overwhelming

    where to start?

    y= [(e^x + e^pi)*(fourth root (x + 2))] / sqrt(x^2 + 7)

    product rule? quotient rule? power rule? chain rule? agh!
    It might help if it's in a readable form...

    y = \frac{(e^x + e^\pi)(x + 2)^{\frac{1}{4}}}{(x^2 + 7)^{\frac{1}{2}}}.


    OK, to start, it is a quotient, so start off with the quotient rule.

    \frac{dy}{dx} = \frac{(x^2 + 7)^{\frac{1}{2}}\,\frac{d}{dx}\left[(e^x + e^\pi)(x + 2)^{\frac{1}{4}}\right] - (e^x + e^\pi)(x + 2)^{\frac{1}{4}}\,\frac{d}{dx}\left[(x^2 + 7)^{\frac{1}{2}}\right]}{\left[(x^2 + 7)^{\frac{1}{2}}\right]^2}.

    Can you go from here?
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  3. #3
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    um, i apologize that i didn't have time to learn how to type in math symbols before i had the question..

    i guess i can try it, thanks.
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