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Math Help - Differentiate

  1. #1
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    Differentiate

    y=4(x+1)^3sin^2(6x^2 -2)

    I know how to do the first part, I just don't know how to differentiate sin^2(6x^2-2)
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  2. #2
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    Quote Originally Posted by BobCalc View Post
    y=4(x+1)^3sin^2(6x^2 -2)

    I know how to do the first part, I just don't know how to differentiate sin^2(6x^2-2)
    I would think of it more like (\sin{(6x^2-2)})^2 to see how the chain rule is used multiple times. In the most general sense, you have something squared, just like [f(x)]^2. So start with the power rule and you get 2*[f(x)]*[f'(x)].

    So it would be like 2(\sin{(6x^2-2)})^{1}*\left( \frac{d}{dx}[\sin{6x-2}] \right)
    Last edited by Jameson; April 12th 2009 at 05:23 PM. Reason: error
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  3. #3
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    I got
    2(sin(6x^2-2) (cos(6x^2-2)12x)
    This is correct right?
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