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    ri0t's Avatar
    ri0t Posts: 13, Reputation: 2
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    #1

    Jul 28, 2009, 02:10 AM
    Logarithmic Function and its Derivative
    This is a question from my maths book:

    Take Logarithms of both sides and use the log laws to differentiate

    (a) y=x^x

    for this I did:

    log y =x log x

    then I do not know how to go on from there. I know that the derivative of log x is 1/x
    galactus's Avatar
    galactus Posts: 2,271, Reputation: 282
    Ultra Member
    		  
    #2

    Jul 28, 2009, 06:37 AM
    Take ln of both sides:



    Property of logs:



    Differentiate:



    Solve for y':



    Remember that and sub in:
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