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Math Help - Derivative with trig functions

  1. #1
    Junior Member
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    New York City
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    Derivative with trig functions

    I need help with the following derivative:

    sinx^1/3 + (sinx)^1/3
    Thanks!
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  2. #2
    MHF Contributor
    Joined
    Apr 2008
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    1,092
    I'm assuming this is \sin (x^{1/3}) + (\sin x)^{1/3}.

    Take the two parts of the function separately.

    The derivative of \sin (x^{1/3}) is

    \cos (x^{1/3}) \cdot (1/3)x^{-2/3}.

    The derivative of (\sin x)^{1/3} is

    (1/3)(\sin x)^{-2/3} \cdot \cos x.

    Add the two together and you're done.
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