More generally, if the Lagrangian depends on higher derivatives, then:formula_87== Examples ===== Example 1: Conservation of energy ===Looking at the specific case of a Newtonian particle of mass "m", coordinate "x", moving under the influence of a potential "V", coordinatized by time "t".
More generally, if the Lagrangian depends on higher derivatives, then: formula_121== Examples ===== Example 1: Conservation of energy ===Looking at the specific case of a Newtonian particle of mass "m", coordinate "x", moving under the influence of a potential "V", coordinatized by time "t".