Gradient

In the above two images, the values of the function are represented in black and white, black representing higher values, and its corresponding gradient is represented by blue arrows.

The gradient of the function f(x,y) = −(cos2x + cos2y)2 depicted as a projected vector field on the bottom plane.

In mathematics, the gradient is a generalization of the usual concept of derivative of a function in one dimension to a function in several dimensions. If $f (x 1, ..., x n)$ is a differentiable, scalar-valued function of standard Cartesian coordinates in Euclidean space, its gradient is the vector whose components are the n partial derivatives of f. It is thus a vector-valued function.

单词	Gradient Operator
释义	Gradient Operator 英语百科 Gradient In mathematics, the gradient is a generalization of the usual concept of derivative of a function in one dimension to a function in several dimensions. If $f (x 1, ..., x n)$ is a differentiable, scalar-valued function of standard Cartesian coordinates in Euclidean space, its gradient is the vector whose components are the n partial derivatives of f. It is thus a vector-valued function.
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Gradient Operator

Gradient