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Partial derivative

In mathematics, a partial derivative of a function of several variables is its derivative with respect to one of those variables, with the others held constant (as opposed to the total derivative, in which all variables are allowed to vary). Partial derivatives are used in vector calculus and differential geometry.

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Overview

Definition

Notation

Gradient

Directional derivative

Example

Higher order partial derivatives

Antiderivative analogue

Applications

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Map overview Semantic statistics

Partial derivative

Nodes75
Edges74
Triples40
Avg. degree1.97
Density0.026667
Components1

How this topic connects Entity context

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Partial derivative

Top relations

related to External links · 6
Partial derivative → EMS Press, Encyclopedia, Mathematics, MathWorld, Partial, Partial Derivatives
related to Thermodynamics, quantum mechanics and mathematical physics · 5
Partial derivative → Gibbs, Gibbs-Duhem, Partial, Schrödinger, The
related to Gradient · 4
Partial derivative → An, At, Euclidean, In
related to Optimization · 4
Partial derivative → For, Partial, Since, The
related to Antiderivative analogue · 3
Partial derivative → Consider, Given, There
related to Definition · 3
Partial derivative → Let, Like, The
related to Image resizing · 3
Partial derivative → Partial, The, Widely
related to Economics · 2
Partial derivative → For, Partial
related to Higher order partial derivatives · 2
Partial derivative → For, Second
related to Notation · 2
Partial derivative → First-order, For

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Important terminology

partial derivative displaystyle function derivatives frac respect constant variable vector one variables notation point used order functions example gradient right

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Partial derivativeis aelimination of indirect dependencies between variables in partial derivatives.If0.90text
statistical mechanicsinstance ofIn fields0.80text
the partial derivative of f with respect to xinstance ofIn fields0.80text
holding yinstance ofIn fields0.80text
z constantinstance ofIn fields0.80text
is often expressed asinstance ofIn fields0.80text
Partial derivativerelated to Antiderivative analogueThere0.60section
Partial derivativerelated to Antiderivative analogueGiven0.60section
Partial derivativerelated to Antiderivative analogueConsider0.60section
Partial derivativerelated to DefinitionLike0.60section
Partial derivativerelated to DefinitionLet0.60section
Partial derivativerelated to DefinitionThe0.60section

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