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Differentiable function

In mathematical analysis, a real or complex function of a single variable is differentiable if its derivative exists at each point in its domain. For real-valued functions of a real variable, the graph of a differentiable function has a non-vertical tangent line at each interior point in its domain. A differentiable function is locally approximable by a…

Overview, Differentiability classes & Differentiability in higher dimensions

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Overview

Differentiability of real functions of one variable

Differentiability and continuity

Differentiability classes

Differentiability in higher dimensions

Differentiability in complex analysis

Differentiable functions on manifolds

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Differentiable function

Nodes47
Edges46
Triples18
Avg. degree1.96
Density0.042553
Components1

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Differentiable function

Top relations

related to Differentiability and continuity · 9
Differentiable function → For, However, If, In, Informally, Most, Stefan Banach, The, Weierstrass
related to Differentiability classes · 9
Differentiable function → Although, Darboux's, For, However, If, More, Nevertheless, Similarly, Thus

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Important terminology

function differentiable point continuous displaystyle said derivative textstyle domain real functions complex mathbb derivatives exist exists example every linear also

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SubjectPredicateObjectConfidenceSrc
Differentiable functionrelated to Differentiability and continuityIf0.60section
Differentiable functionrelated to Differentiability and continuityIn0.60section
Differentiable functionrelated to Differentiability and continuityThe0.60section
Differentiable functionrelated to Differentiability and continuityFor0.60section
Differentiable functionrelated to Differentiability and continuityMost0.60section
Differentiable functionrelated to Differentiability and continuityHowever0.60section
Differentiable functionrelated to Differentiability and continuityStefan Banach0.60section
Differentiable functionrelated to Differentiability and continuityInformally0.60section
Differentiable functionrelated to Differentiability and continuityWeierstrass0.60section
Differentiable functionrelated to Differentiability classesAlthough0.60section
Differentiable functionrelated to Differentiability classesFor0.60section
Differentiable functionrelated to Differentiability classesHowever0.60section

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