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Math Help - Derivative of "e" help

  1. #1
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    Derivative of "e" help

    I have tried and tried and cant get it, help

    Last edited by youracow; June 18th 2010 at 11:15 AM. Reason: img insert
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  2. #2
    MHF Contributor
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    Hi

    f(t) = 5000 e^(u(t)) where u(t) = 0.1 e^(0.25 t)
    f'(t) = 5000 u'(t) e^(u(t))
    Now we need to calculate u'(t)
    u(t) = 0.1 e^(v(t)) where v(t) = 0.25 t
    u'(t) = 0.1 v'(t) e^(v(t)) = 0.1 x 0.25 e^(v(t)) = 0.025 e^(0.25 t)
    f'(t) = 5000 x 0.025 e^(0.25 t) e^(0.1 e^(0.25 t)) = 125 e^(0.25 t) e^(0.1 e^(0.25 t))
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  3. #3
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    wow thx a lot. very helpful!
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