Derivative a from v (lorentz transform)

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SUMMARY

The discussion centers on the derivation of the Lorentz transformation, specifically the equation v'=(v-u)/(1-vu/c^2). Participants seek clarification on the variables involved, where v represents the velocity of an object, u is the velocity of the observer, and v' is the transformed velocity. The confusion arises when attempting to differentiate v' with respect to v, leading to questions about the validity of applying implicit differentiation rules in this context.

PREREQUISITES
  • Understanding of Lorentz transformations in special relativity
  • Familiarity with calculus, particularly implicit differentiation
  • Knowledge of the variables used in relativistic equations (u, v, c)
  • Basic grasp of the concept of velocity in physics
NEXT STEPS
  • Study the derivation of Lorentz transformations in detail
  • Learn about implicit differentiation and its applications in physics
  • Explore the physical significance of the variables u, v, and v' in relativity
  • Investigate common pitfalls in applying calculus to physics problems
USEFUL FOR

Students of physics, particularly those studying special relativity, as well as educators and anyone interested in the mathematical foundations of relativistic motion.

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:confused: derivating a from v (lorentz transform)

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v'=(v-u)/(1-vu/c^2), then dv'=? is it (dv-u)/(1-udv/c^2)?
 
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What exactly are u, v, v'. Not values- what do they mean?
 
I am not sure if the original function makes sense since dv/du=-fu/fv which is the drivative rule for implicit functions but this equation it doesn't work
 

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