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Math Help - chain rule again

  1. #1
    Senior Member
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    chain rule again

    I have attached a scan because I don't know what the first line has to do with the rest. Has the printed a mistake?
    Attached Thumbnails Attached Thumbnails chain rule again-scan-1.jpg  
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  2. #2
    MHF Contributor Calculus26's Avatar
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    Good eye -- for f(x) = x^(2x) you can not use the power rule as suggested by what follows

    Power rule d (u^n)/dx = nu^(n-1)du/dx if n is a real number

    however for x^(2x)

    write y = x^(2x)

    lny = 2xln(x)

    y '/ y = 2ln(x) + 2

    y ' = x^(2x)[2ln(x) + 2] but most certainly is not 2x*x^(2x-1)
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