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Math Help - Find the Rate Of change

  1. #1
    Member
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    Nov 2008
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    Find the Rate Of change

    I was given a function here and told to do two things which t is time in hours

    f(x)=20+15e^{kt}


    A.) After 2 hours the persons temperate was 33 C find K

    which gave me answer \frac{ln(\frac{13}{15})}{2}

    B.


    Find the rate of change after 4 hours

    So what i do is takeout derivative and plug in 4 or solve k for 4 hours and and then take derivative and solve
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  2. #2
    Junior Member
    Joined
    Jan 2009
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     F(t) = 20 + 15e^{\frac{ln(\frac{13}{15})}{2}*t}
    Find the derivative for the rate of change (F'(x))
    then plug in t = 4 hours to find the rate of change at 4 hours.
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