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Help with Taylor series

  1. May 13, 2014 #1
    I'm reading a derivation and it says that the following approximation can be used:

    attachment.php?attachmentid=69764&stc=1&d=1400020033.png

    I do not under stand how Taylor's theorem allows for this approximation. Can any one explain this a little?
     

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  3. May 13, 2014 #2

    LCKurtz

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    If you let ##f(r) = \frac{dv}{dr}## you have ##f(r+dr) = f(r) + f'(r)dr##. Do you recognize that?
     
  4. May 14, 2014 #3
    Yea, my problem was realizing that I was supposed to approximate the function around r and evaluate the function at r + dr. Should have seen that. Thank you for your help.
     
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