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]
![](http://up.wiki.x.io/wikipedia/commons/thumb/0/0f/Gradient2.svg/300px-Gradient2.svg.png)
Related pages
changeReferences
change- ↑ "List of Calculus and Analysis Symbols". Math Vault. 2020-05-11. Retrieved 2020-09-16.
- ↑ "The gradient vector | Multivariable calculus (article)". Khan Academy. Retrieved 2020-09-16.
- ↑ Weisstein, Eric W. "Gradient". mathworld.wolfram.com. Retrieved 2020-09-16.