 Summary
 Discussion leading to Lagrangian for a free particle being (mv^2)/2
In Landau mechanics it's been given that multiple Lagrangians can be defined for a system which differ by a total derivative of a function.
This statement is further used for the following discussion.
I understand that the term for L has been expanded as a Taylor series but I can't understand the statement given just after that claims that partial derivative of L w.r.t v^2 is independent of the velocity.Can anyone lead me through it mathematically?
This statement is further used for the following discussion.
I understand that the term for L has been expanded as a Taylor series but I can't understand the statement given just after that claims that partial derivative of L w.r.t v^2 is independent of the velocity.Can anyone lead me through it mathematically?
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