Gradient

multi-variable generalization of the derivative

In vector calculus, the gradient of a multivariate function measures how steep a curve is. On a graph of the function, it is the slope of the tangent of that curve. More generally, it is a vector that points in the direction in which the function grows the fastest. Its coordinates are partial derivatives of that function. The gradient of a function f is often written as or .[1][2][3]

The values of the function are shown in black and white. The darker areas have higher values. The blue arrows show the gradient.

Related pagesEdit

ReferencesEdit

  1. "List of Calculus and Analysis Symbols". Math Vault. 2020-05-11. Retrieved 2020-09-16.
  2. "The gradient vector | Multivariable calculus (article)". Khan Academy. Retrieved 2020-09-16.
  3. Weisstein, Eric W. "Gradient". mathworld.wolfram.com. Retrieved 2020-09-16.