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Math Help - Simple derivative...

  1. #1
    Junior Member
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    Simple derivative...

    \frac{e^t-1}{t}

    I know this is a simple derivative, and I'm in calc 3, but I can't seem to figure this one out....

    Okay, well that's really small. It's e^t-1/t in case you can't see it.
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  2. #2
    Super Member Quacky's Avatar
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    Windsor, South-East England
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    Have you tried using the quotient rule?

    Let f(t)=e^t-1
    Then, f'(t)=e^t

    Let g(t)=t
    g'(t)=1

    The rule states that:

    For any function composed of a quotient of two other functions, here denoted by \displaystyle\frac{f(t)}{g(t)}, the derivative is: \displaystyle\frac{f'(t)g(t)-g'(t)f(t)}{[g(t)]^2}

    ...So do the substitution.

    If you haven't covered the quotient rule, then reply and I'll try another approach
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  3. #3
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    Yea, I'm in calc 3....I was just having a brain fart. Thanks. >.<
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