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Math Help - Could use help on a Chain Rule problem

  1. #1
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    Could use help on a Chain Rule problem

    Hi. I was wondering if anybody on this forum can help me find the derivative of:

    f(x) = [(√x^3 + 2) + 2x)^-2]

    I'm pretty sure I'm messing up with the algebra somewhere. Any detailed steps would be appreciated. Thanks in advance.

    Btw, this is how far I've gotten.

    f'(x) = -2[(√x^3 + 2) + 2x)^-3 * (x^3 + 2)^1/2 + (2x)

    Also, on another note. Is there a program I can download that allows me to type math symbols?
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    Last edited by elong; May 10th 2009 at 07:40 PM.
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  2. #2
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    Quote Originally Posted by elong View Post
    Hi. I was wondering if anybody on this forum can help me find the derivative of:

    f(x) = [(√x^3 + 2) + 2x)^-2]

    I'm pretty sure I'm messing up with the algebra somewhere. Any detailed steps would be appreciated. Thanks in advance.

    Btw, this is how far I've gotten.

    f'(x) = -2[(√x^3 + 2) + 2x)^-3 * (x^3 + 2)^1/2 + (2x)

    Also, on another note. Is there a program I can download that allows me to type math symbols?
    You don't need to download anything look in the FAQ for math symbols

    f(x)=[\sqrt{x^3+2}+2x]^{-2}

    Now when we take the derivative we get

    f'(x)=-2[\sqrt{x^3+2}+2x]^{-3}\left(\frac{1}{2}\frac{3x^2}{\sqrt{x^3+2}}+2 \right)
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