# Gradient of a Scalar Field

**Formula:** `∇f = (f_x, f_y)`

The gradient of a scalar field is a vector that points in the direction of the greatest rate of increase of the scalar field. In this formula, ** ∇f** represents the gradient of the scalar field

**, and**

*f***and**

*f_x***are the partial derivatives of**

*f_y***with respect to**

*f***and**

*x***respectively. The result is a vector with components**

*y***and**

*dx***.**

*dy*Tags: Calculus, Vector, Scalar Field, Gradient