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Math Help - derivative

  1. #1
    Junior Member
    Joined
    Jan 2010
    Posts
    62

    derivative

    f(x) = sinx/x^3

    i obtained

    f'(x) = (x²cos-3xsinx)/x^4


    is that correct :O?
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  2. #2
    MHF Contributor
    Joined
    Apr 2008
    Posts
    1,092
    Using the quotient rule,

    \frac{d}{dx} \frac{\sin x}{x^3} =

    \frac{x^3 \cos x - 3x^2 \sin x}{x^6} =

    \frac{x \cos x - 3 \sin x}{x^4}

    which is not quite what you had, but I think you had the right idea.
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