The Lagrangian Function is a mathematical formulation used in physics and engineering to describe the dynamics of a system. It combines kinetic energy and potential energy into a single function, allowing for the analysis of motion and forces acting on a system. The Lagrangian is typically denoted as L = T - V , where T represents kinetic energy and V represents potential energy. This approach is particularly useful in classical mechanics and is foundational for the principle of least action. By applying the Euler-Lagrange equation, one can derive the equations of motion for a system, making it easier to solve complex problems involving multiple variables and constraints.