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Homework Help: Partial derivatives

  1. Aug 13, 2011 #1
    Why can you do this?
    6f2ca8b6.png
    thanks!
     
  2. jcsd
  3. Aug 13, 2011 #2

    SammyS

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    It can be done if B, as a function of x & t, and its first and second partial derivatives are all continuous.
     
  4. Aug 14, 2011 #3
    Thanks!
    How would you know if a function's first and 2nd partial derivatives are continuous?
     
  5. Aug 14, 2011 #4

    I like Serena

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    If you have a formula for B, you can try and evaluate them.

    If B is the magnetic field, you can assume so, because our empirical laws of physics say so.
    (Most naturally occurring phenomena are infinitely differentiable.)
     
  6. Aug 14, 2011 #5
    Yes, B is the magnetic field! Thanks! :)
     
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