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Math Help - Find F'(x)

  1. #1
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    Find F'(x)

    is it asking me to derive it?
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    Re: Find F'(x)

    Quote Originally Posted by asilvester635 View Post
    is it asking me to derive it?
    The notation F'(x) is read the derivative of F(x)~.
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    Re: Find F'(x)

    Find F'(x)-screen-shot-2012-12-07-8.42.51-am.png

    heres what i was given
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    Re: Find F'(x)

    Quote Originally Posted by asilvester635 View Post
    Click image for larger version. 

Name:	Screen Shot 2012-12-07 at 8.42.51 AM.png 
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    heres what i was given
    If each of f~\&~g is a differentiable function and F(x) = \int_{g(x)}^{f(x)} {h(t)dt} then

    F'(x)=f'(x)h(f(x))-g'(x)h(g(x))
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  5. #5
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    Re: Find F'(x)

    Unless there is more to the problem than you have shown us, it is NOT asking you to differentiate F, it is asking you to find F(x) by integrating.
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    Re: Find F'(x)

    Quote Originally Posted by HallsofIvy View Post
    Unless there is more to the problem than you have shown us, it is NOT asking you to differentiate F, it is asking you to find F(x) by integrating.

    The title does say \text{Find }F'(x)~.
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  7. #7
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    Re: Find F'(x)

    I'd say Plato is correct: I'd hazard that it is supposed to be an application of the Fundamental theorem.

    -Dan
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