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Math Help - finding derivatives using the power rule

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    finding derivatives using the power rule

    Find the derivative of the function below.


    this is the equation given, and i didnt get it right, and need some help...please..thank you
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    Quote Originally Posted by mer1988 View Post
    Find the derivative of the function below.


    this is the equation given, and i didnt get it right, and need some help...please..thank you
    Hint: y(t) = 3t^2 + \frac {16}{\sqrt {t}} - \frac 1{t^2} = 3t^2 + 16t^{- \frac 12} - t^{-2}
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    ok so with that, how would i find the derivative of this function?

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    Quote Originally Posted by mer1988 View Post
    ok so with that, how would i find the derivative of this function?

    there are many ways you can find this derivative. the easiest way i see is to split the fractions and rewrite them so you can use the power rule:

    note that, g(t) = \frac {t - 9}{\sqrt {t}} = \frac {t}{\sqrt {t}} - \frac 9{\sqrt {t}} = t^{\frac 12} - 9t^{- \frac 12}
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