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Math Help - Functions and Points

  1. #1
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    Functions and Points

    For the function y=c(e^{-at} - e^{-bt})

    With a,b,c > 0 and t ≥ 0 find the point at which y reaches its maximum.

    I have:

    f' (t) = c (-ae^{-at} + be^{-bt})

    ...and then i'm stuck
    Last edited by Wildharmony; November 27th 2008 at 03:24 PM.
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  2. #2
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    Let the derivative equal zero and solve for t.
    0 = c (-ae^{-at} + be^{-bt})
    So
    0 = -ae^{-at} + be^{-bt}

    Can you show
    e^{(a-b)t}=\frac{a}{b}?

    If so, solve for t.
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