# gradient

In plane analytic geometry,
the gradient is an increase in *y* corresponding to a unit increase
in *x*. The gradient of a curve may
be found at any point along it by use of differential calculus.
Gradient is a vector quantity. In vector
notation, the gradient of a scalar field *W* is the vector field

grad *W* = **i** ∂*W*/∂*x* + **j** ∂*W*/∂*y* + **k** ∂*W*/∂*z*

In other words, the gradient is a vector of partial derivatives of a function that operates on vectors.