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Derivative of multiple powers

  1. Oct 28, 2009 #1
    1. The problem statement, all variables and given/known data

    d(4e^5x)/dx


    3. The attempt at a solution

    e5x(4e5x-1)(e5x)

    or

    (4e^5x)(ln4)

    I found the above using two different methods. I don't know if either is right.
    It is entirely possible that both are wrong.
     
  2. jcsd
  3. Oct 28, 2009 #2

    lurflurf

    User Avatar
    Homework Helper

    Those are both wrong. You need to use the chain rule. Start with the exponential rule
    [a^f(x)]'=log(a) a^f(x) f'(x)
     
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