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Math Help - Differentiate 1 / (t+3e^t)

  1. #1
    Junior Member
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    Differentiate 1 / (t+3e^t)

    By using the quotient rule, I get -3e^t for the numerator.
    The problem is the denominator: (t+3e^t)^2

    I don't believe I'm foiling the denominator correctly.
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  2. #2
    MHF Contributor red_dog's Avatar
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    \left(\displaystyle\frac{1}{t+3e^t}\right)'=-\displaystyle\frac{(t+3e^t)'}{(t+3e^t)^2}=-\displaystyle\frac{1+3e^t}{(t+3e^t)^2}
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