The Vector Operator that Connects Force and Potential #Physics #force #potentialenergy #gradient

Join My Telegram group agsJaj-rvLYxZmZl Join My WhatsApp group Click this link to subscribe to my youtube channel In mathematics, the gradient is a vector that points in the direction of the steepest increase of a function at a particular point. It is a fundamental concept used in calculus and vector calculus. The gradient is denoted by the symbol “∇“ (nabla) and is sometimes referred to as the “del“ operator. For a function of multiple variables, the gradient is a vector containing partial derivatives with respect to each variable. If we have a scalar function f(x1, x2, ..., xn) that depends on n variables, the gradient of f is given by: ∇f = (∂f/∂x1, ∂f/∂x2, ..., ∂f/∂xn) Geometrically, the gradient points in the direction of the steepest increase of the