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Thread: Apply the Fundemental Theorem of Calculus to find the Derivative

  1. November 12th 2007, 11:28 AM #1
    evansf
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    Apply the Fundemental Theorem of Calculus to find the Derivative

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  2. November 12th 2007, 12:21 PM #2
    ThePerfectHacker
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    F(x) = \int_2^x \sqrt{t-1} dt then F(x^2) = \int_2^{x^2} \sqrt{t-1}dt. Thus, [F(x^2)]' = 2xF'(x^2) = 2x\sqrt{x^2-1}.
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