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Thread: FTC problem

  1. #1
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    FTC problem

    i need help solving this problem using FTC to find the derivative:

    $\displaystyle f(x) = \int_{5}^{x^2} { \left( \frac{1}{5}t^2-1 \right) }^{8} \hbox{d} t $
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  2. #2
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    If $\displaystyle \phi (x)$ is a differentiable function and
    $\displaystyle f(x) = \int\limits_c^{\phi (x)} {g(t)dt} \quad \Rightarrow \quad f'(x) = \phi '(x)g(x). $
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