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Math Help - Derivatives of General Exp and Log Fctns

  1. #1
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    Derivatives of General Exp and Log Fctns

    Find the derivative function for the following:
    i) y=(2^x)log_2(x^4)
    ii) p=2log_3(5^s)-log_3(4^s)
    Can someone just verify with me the correct answer (not sure if the back is wrong)

    my answer: y'=[(2^x)(ln2)log_2(x^4)+(2^x)(4x^3)]/[(x^4)ln2]

    the back of the book has:

    y'=[2^(x+2)/xln2][xlog_2(x)(ln2)^2+1]

    ii) my answer: p'=2/5^s - 1/4^s (1/ln3)

    text: [2ln5-ln4]/ln3
    Last edited by skeske1234; August 13th 2009 at 06:48 PM.
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  2. #2
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    Using the product rule I get

     y' = 2^{x\ln(2)}\times \log_2(x^4)+ 2^x\times\frac{4}{x}
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