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Math Help - What is the derivative of f(x) at this point?

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    What is the derivative of f(x) at this point?

    (1)/(t)^2 at t=a. The answer, but more importantly, solving using this formula:

    lim as t->a of [f(t)-f(a)] / t-a
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  2. #2
    Ted
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    Quote Originally Posted by ajcadoo View Post
    (1)/(t)^2 at t=a. The answer, but more importantly, solving using this formula:

    lim as t->a of [f(t)-f(a)] / t-a
    f(t)=\frac{1}{t^2}.
    f(a)=\frac{1}{a^2}.

    f'(a)=\lim_{t\to a} \frac{ \frac{1}{t^2} - \frac{1}{a^2} } { t-a }.

    To evaluate it, start by making a common denominator in the numerator.
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