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Math Help - [SOLVED] Derivative Problem

  1. #1
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    [SOLVED] Derivative Problem

    Hi

    I am trying to differentiate the following using the Product rule,

    \frac{d}{dx}arcsin (2x)\sqrt{1-4x^2}

    where

    f(x) = arcsin (2x)
    g(x) =\sqrt{1-4x^2}



    f'(x)g(x) simplifes to 2 but I am stuck on f(x)g'(x)

    I have changed \sqrt{1-4x^2} to (1-4x^2)^\frac{1}{2} before differentiating but not clear what to do next.

    Thanks
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  2. #2
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    \frac{{d\sqrt {1 - 4x^2 } }}{{dx}} = \frac{{ - 8x}}{{2\sqrt {1 - 4x^2 } }}

    In general <br />
\frac{{d\sqrt f }}<br />
{{dx}} = \frac{{f'}}<br />
{{2\sqrt f }}
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  3. #3
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    Thanks so much - it makes sense now!!
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