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Math Help - Second derivative

  1. #1
    Member mybrohshi5's Avatar
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    Second derivative

    Suppose that , where
    Find .

    Does anyone know who to go about getting the second derivative from those two functions?

    Thank you
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  2. #2
    Junior Member
    Joined
    Nov 2009
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     F'(x) = \frac{d}{dx} \int_1^x f(t) dt = f(x) by the fundamental theorem of calculus. So  F''(2) = f'(2).
    You can find  f'(t) using the fundamental theorem of calculus as well. You should get  f'(t) = 4t^3 \frac{\sqrt{5+t^{16}}}{t^4} (there's a chain rule application in there as well).
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