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Math Help - Need help with quesiton - derivative and riemann's sum

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    Need help with quesiton - derivative and riemann's sum

    i'm not really sure how to do this questions b/c of the notations :S if som1 could instruct me on understanding and getting started that would be great, thx
    Attached Thumbnails Attached Thumbnails Need help with quesiton - derivative and riemann's sum-screen-shot-2012-11-18-5.32.33-pm.png  
    Last edited by simba412; November 18th 2012 at 01:33 PM.
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    Re: Need help with quesiton - derivative and riemann's sum

    Quote Originally Posted by simba412 View Post
    finding the derivative with respect to x...
    2x
    3t2 9 dt.
    x
    i'm not really sure how to do this questions b/c of the notations :S if som1 could instruct me on understanding and getting started that would be great

    Is the question to find the derivative of \int_x^{2x } {\left( {3t^2  - 9} \right)dt} with respect to x~?

    If so, suppose that each of f~\&~g is a differentiable function and y = \int_{g(x)}^{f(x)} {h(t)dt} then y' = f'(x)h(f(x)) - g'(x)h(g(x))
    Last edited by Plato; November 18th 2012 at 02:29 PM.
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    Re: Need help with quesiton - derivative and riemann's sum

    the upper limit is 2x. yes i think its (3t^2 -9)dt... although it is written as 3t^2 - 9 dt (exactly as in the posted pic)....
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    Re: Need help with quesiton - derivative and riemann's sum

    Quote Originally Posted by simba412 View Post
    the upper limit is 2x. yes i think its (3t^2 -9)dt... although it is written as 3t^2 - 9 dt (exactly as in the posted pic)....
    That does not in anyway change my answer.
    Actually from a mathematical viewpoint, the notation in that image is extremely poor.

    The answer is (2)[3(2x)^2-9]-(1)[3(x)^2-9]
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    Re: Need help with quesiton - derivative and riemann's sum

    yes i got that. thanks for the reply. thats mostly why i got confused, i feel there should be brackets around the fn't ...
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