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Math Help - Tricky Differentiation

  1. #1
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    Thumbs up Tricky Differentiation

    Hey guys, I'm doing an assignment on numerical differentiation involving MATLAB but have come unstuck as I need to manually differentiate the following function:

    f(x) = 2^(asin(x)^2)

    If anyone could help I'd really appreciate it, and if you can show me the steps in the process of the differentiation I'd really really appreciate it!

    Thanks, Watto
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  2. #2
    Junior Member
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    Feb 2009
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    Just use that \frac{d}{dx}(asin(x)) = \frac{1}{\sqrt{1 - x^2}} and then use the chain rule. I got the result:

    \frac{2 \ln(2) asin(x)}{\sqrt{1 - x^2}}2^{(asin(x))^2}

    Hope it's correct.
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  3. #3
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    Thumbs up

    tar mate you are a legend!
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  4. #4
    MHF Contributor

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    Very good! I would have assumed that "asin(x)" was simply "a times sin(x)" rather than "arcsine". watto23, I don't know what syntax MATLAB uses but here you would be better understood if you used "arcsin(x)" or sin^{-1}(x).
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