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Directional derivative

In multivariable calculus, the directional derivative measures the instantaneous rate at which a function changes along a specified vector through a given point. If the vector is multiplied by a scalar, the corresponding directional derivative is multiplied by the same scalar.

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Definition

Properties

In differential geometry

In group theory

Normal derivative

In the continuum mechanics of solids

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Map overview Semantic statistics

Directional derivative

Nodes64
Edges63
Triples77
Avg. degree1.97
Density0.03125
Components1

How this topic connects Entity context

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Directional derivative

Top relations

related to Translations · 13
Directional derivative → And, By, For, Here, Hilbert, In, It, Poincaré, So, Then, This, Using, We
see also · 12
Directional derivative → Del, Derivative, Differential, Expression, Fundamental, Generalization, Mathematical, Property, Tensor, Time, Total, Type
related to In differential geometry · 10
Directional derivative → Covariant, Definition, Exterior, If, Let, Lie, Suppose, Tangent, Then, This
related to The Riemann tensor · 7
Directional derivative → Consider, Directional, Instead, It, Riemann, The, We
related to External links · 6
Directional derivative → Directional, MathWorld, Media, PlanetMath, Wikimedia Commons Directional, Wiktionary-logo-en-v2
related to Normal derivative · 5
Directional derivative → Df, If, In, Neumann, See
related to Properties · 5
Directional derivative → For, If, Leibniz's, Many, These
related to Rotations · 5
Directional derivative → Following, Here, It, SO, The
related to Definition · 4
Directional derivative → In, Its, The, This
related to In the continuum mechanics of solids · 3
Directional derivative → It, Several, The

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Important terminology

displaystyle derivative mathbf directional vector nabla cdot function frac right left boldsymbol partial defined along operator differentiable derivatives direction exp

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Directional derivativerelated to DefinitionThe0.60section
Directional derivativerelated to DefinitionThis0.60section
Directional derivativerelated to DefinitionIn0.60section
Directional derivativerelated to DefinitionIts0.60section
Directional derivativerelated to External linksWiktionary-logo-en-v20.60section
Directional derivativerelated to External linksMedia0.60section
Directional derivativerelated to External linksDirectional0.60section
Directional derivativerelated to External linksWikimedia Commons Directional0.60section
Directional derivativerelated to External linksMathWorld0.60section
Directional derivativerelated to External linksPlanetMath0.60section
Directional derivativerelated to For differentiable functionsIf0.60section
Directional derivativerelated to In differential geometryLet0.60section

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