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Homework Help: Derivative of exponents question HELP

  1. Dec 2, 2011 #1
    1. The problem statement, all variables and given/known data

    find the derivative of: 4e^t((e^2t)-(e^t))

    2. Relevant equations

    d/dx[b^x] = lnb(b^x)d/dx(x)

    3. The attempt at a solution

    I tried subtracting the two exponents in the brackets as well as multiplying it out. both wrong. Help?
  2. jcsd
  3. Dec 2, 2011 #2
    Should that read:
    [tex]4e^{t}(e^{2t}-e^{t})[/tex] ?

    You should make it easier on yourself and distribute that [itex]4e^{t}[/itex] through the parenthesis and then take the derivative. Remember to use the chainrule, for example, recall that:
  4. Dec 2, 2011 #3


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    Homework Helper

    So just to be clear, you are trying to find



    [tex]e^{2t}-e^t\neq e^t[/tex]

    if that's what you were implying. Remember the rules for subtracting indices are


    When you multiplied the factor out (expanded) what did you get?
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