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Partial derivatives transformation

  1. Jan 19, 2015 #1
    1. The problem statement, all variables and given/known data
    AF4D0A34-5C5A-4476-8592-E689D996A600.jpg

    2. Relevant equations
    included in the first picture

    3. The attempt at a solution
    A5BFD7D8-46E4-4F00-8B23-05386C302822.jpg

    i feel confident in my answer to part "a". i pretty much just did what the u and v example at the top of the page did. but for part "b" i tried to distribute and collect like terms and what not and i ended up with a huge mess. so i can anyone tell me if im on the right track. and that the end product should like look a huge mess of terms.

    thanks!
     
  2. jcsd
  3. Jan 20, 2015 #2

    RUber

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    Homework Helper

    ##\frac{\partial^2}{\partial t^2} \neq \left(\frac{\partial}{\partial t}\right)^2##
    You have to apply the derivative twice.
     
  4. Jan 23, 2015 #3
    so i figured out a solution and i thought i would add it here in case someone googling for information stumbles upon this thread.
    F4A0A850-BBAF-4002-9672-6FAB2AB24269.jpg

    i get from the second step to the third step (where i am left only with derivatives and a c^2) using the definition of gamma given to me and some rigorous algebra.
    took me a solid two days to figure this out.
     
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