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In vector calculus, the gradient of a scalar field is a vector field which points in the direction of the greatest rate of increase of the scalar field, and whose magnitude is the greatest rate of change.

A generalization of the gradient for functions on a Euclidean space which have values in another Euclidean space is the Jacobian. A further generalization for a function from one Banach space to another is the Fréchet derivative.

Power rule, Product rule, Quotient rule, Chain rule

Lists of integrals
Improper integrals
Integration by:
parts, disks, cylindrical
, substitution,
trigonometric substitution,
partial fractions, changing order


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