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Math Help - Help with differentiate functions

  1. #1
    Junior Member
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    Help with differentiate functions

    how would i go about finding the differentiate of:
    f(t) = 2-(2/3)t

    i know the power rule and all that but i just dont know where to start....
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  2. #2
    Senior Member
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    Smile

    Quote Originally Posted by rhcp1231 View Post
    how would i go about finding the differentiate of:
    f(t) = 2-(2/3)t

    i know the power rule and all that but i just dont know where to start....
    let y = \left(\frac{2}{3}\right)^t, then

    \ln y = t \ln \left(\frac{2}{3}\right)

    differentiate both side with respect to t

    \frac{1}{y} \frac{dy}{dt} = \ln \left(\frac{2}{3}\right)

    or

    \frac{dy}{dt} = y \ln \left(\frac{2}{3}\right) = \left(\frac{2}{3}\right)^t \ln \left(\frac{2}{3}\right)

    now,..solve your problem
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  3. #3
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    my teacher didnt say anything about using natural logs to find the differentiate though
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