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Differentiation notation help

  1. Feb 20, 2008 #1
    http://img442.imageshack.us/img442/6018/scoreqt9.jpg

    Can someone explain what this notation means regarding differentiating please.

    I've never seen it this way using the integration symbol, so I have no idea where to start.

    :) thx
     
  2. jcsd
  3. Feb 20, 2008 #2

    quasar987

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    Well for instance the first question asks you to find the derivative wrt x of the function F(x) defined by

    [tex]F(x)=\int_{1}^x\ln(t)dt[/tex]

    hint: think fundamental theorem of calculus
     
  4. Feb 20, 2008 #3
    [tex]F(x)=\int_{1}^x\f(t)dt then dF/dx=f(x)[/tex]

    *hopes his latex command worked*

    So im supposed to differentiate F(x), which will then give me f(x) as my answer?
     
  5. Feb 20, 2008 #4
    lol that went tits up, ill try again

    [tex]F(x)=\int_{1}^x\f(t)dt\then dF/dx=f(x)[/tex]
     
  6. Feb 20, 2008 #5
    1 more try :( :

    [tex]F(x)=\int_{1}^x\f\(t)dt\

    then dF/dx=f(x)[/tex]
     
  7. Feb 20, 2008 #6
    K nevermind :D

    but do I just calculate the integral as F(x), then differentiate F(x) with respect to x, which is then my answer?
     
  8. Feb 20, 2008 #7

    quasar987

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    There is an "edit" button right next to "quote" and "multiquote" in the bottom right of each post that lets you edit the latex in case you mess up.

    The answer to your last question is yes.

    But you're gonna run into difficulties when you try to do (ii) with this method because there are no primitives of e^{-t²} in terms of elementary functions... so you will have to use a slightly more sophisticated approach.
     
    Last edited: Feb 20, 2008
  9. Feb 20, 2008 #8

    quasar987

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    the whole point of what?

    write what in integral form?

    "represented"?
     
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