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Math Help - Differentiating x to a function of x

  1. #1
    Member alexgeek's Avatar
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    Differentiating x to a function of x

    Hi, I'm not sure how to find the derivatives of the following:
    y = x^x, y = x^{\cos x}

    I think you use a variant of the chain rule but not sure how.

    Thanks
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  2. #2
    MHF Contributor
    Jester's Avatar
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    Take the \ln of both sides,

    \ln y = \ln x^x = x \ln x

    then implicit differentiation.
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  3. #3
    Member alexgeek's Avatar
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    Ahh simple stuff, thanks!
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