Can I get some help interpreting the following?
"Since this is a total differential (that is, it only depends on the final state, not how the particle got there), we can integrate it and call the result kinetic energy."
"Since this is a total differential (that is, it only depends on the final state, not how the particle got there), we can integrate it and call the result kinetic energy."
This is from the derivation of the form of the kinetic energy from https://en.wikipedia.org/wiki/Kinetic_energy#Derivation
This interpretation of a total derivative is new to me (and may cure my perpetual confusion about the topic when talking about varying actions/Euler-Lagrange/etc).
