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Math Help - Differentiation question

  1. #1
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    Differentiation question

    Hi
    I am stuck on this question:

    If s(t) = √t^3 find s'(4)

    Can anyone please help?
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  2. #2
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    Quote Originally Posted by srose View Post
    Hi
    I am stuck on this question:

    If s(t) = √t^3 find s'(4)

    Can anyone please help?
    s(t) = t^{\frac32}

    The general form: \frac{\mathrm{d}(x^a)}{\mathrm{d}x} = ax^{a-1}

    s'(t) = \frac32 t^{\frac12}

    \therefore s'(4) =  \frac32 (4)^{\frac12}= ...
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