Gradient of a Scalar Field

Output: Press calculate

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 f, and f_x and f_y are the partial derivatives of f with respect to x and y respectively. The result is a vector with components dx and dy.

Tags: Calculus, Vector, Scalar Field, Gradient