Partial derivatives transformation

  • Thread starter nmsurobert
  • Start date
  • #1
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Homework Statement


AF4D0A34-5C5A-4476-8592-E689D996A600.jpg


Homework Equations


included in the first picture

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!
 

Answers and Replies

  • #2
RUber
Homework Helper
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##\frac{\partial^2}{\partial t^2} \neq \left(\frac{\partial}{\partial t}\right)^2##
You have to apply the derivative twice.
 
  • #3
267
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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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