About: Differentiable function

Facets (new session)
Description
Metadata
Settings
- Rule:
- Inverse Functional Properties:
- "Same As":

About: Differentiable function Goto Sponge NotDistinct Permalink

An Entity of Type : dbo:Disease, within Data Space : el.dbpedia.org associated with source document(s)

In mathematics, a differentiable function of one real variable is a function whose derivative exists at each point in its domain. In other words, the graph of a differentiable function has a non-vertical tangent line at each interior point in its domain. A differentiable function is smooth (the function is locally well approximated as a linear function at each interior point) and does not contain any break, angle, or cusp.

Attributes	Values
rdf:type	Thing disease
rdfs:label	Differentiable function (en)
rdfs:comment	In mathematics, a differentiable function of one real variable is a function whose derivative exists at each point in its domain. In other words, the graph of a differentiable function has a non-vertical tangent line at each interior point in its domain. A differentiable function is smooth (the function is locally well approximated as a linear function at each interior point) and does not contain any break, angle, or cusp. (en)
rdfs:seeAlso	Smoothness Continuous function Multivariable calculus
sameAs	Differentiable function Differentiable function
dbp:wikiPageUsesTemplate	dbt:Em dbt:Main dbt:Math dbt:Mvar dbt:Reflist dbt:See_also dbt:Short_description dbt:Visible_anchor dbt:Differentiable_computing
Subject	Differential calculus Smooth functions Multivariable calculus
thumbnail	wiki-commons:Special:FilePath/Polynomialdeg3.svg?width=300
foaf:depiction
gold:hypernym	Function
prov:wasDerivedFrom	http://en.wikipedia.org/wiki/Differentiable_function?oldid=1073950150&ns=0
Wikipage page ID	330206 (xsd:integer)
page length (characters) of wiki page	10573 (xsd:nonNegativeInteger)
Wikipage revision ID	1073950150 (xsd:integer)
Link from a Wikipage to another Wikipage	Smoothness Vertical tangent Almost everywhere Analytic function Semi-differentiability Stefan Banach Differential calculus Smooth functions Generalizations of the derivative Jacobian matrix and determinant Multivariable calculus Smoothness Differentiable programming Differentiation rules Directional derivative Domain of a function Second derivative Classification of discontinuities Cusp (singularity) Linear function Linear map Complex analysis Continuous function Holomorph Partial derivative Darboux's theorem (analysis) Function (mathematics) Function of several real variables Fundamental increment lemma Graph of a function Derivative Existential quantification Intermediate value theorem Weierstrass function Mathematics Meagre set Neighbourhood (mathematics) Real number Wedge (border)
has abstract	In mathematics, a differentiable function of one real variable is a function whose derivative exists at each point in its domain. In other words, the graph of a differentiable function has a non-vertical tangent line at each interior point in its domain. A differentiable function is smooth (the function is locally well approximated as a linear function at each interior point) and does not contain any break, angle, or cusp. If x0 is an interior point in the domain of a function f, then f is said to be differentiable at x0 if the derivative exists. In other words, the graph of f has a non-vertical tangent line at the point (x0, f(x0)). (en)
foaf:isPrimaryTopicOf	http://en.wikipedia.org/wiki/Differentiable_function
is Wikipage redirect of	Differentiability Differentiabillity Differentiable Differentiable functions Differentiable map Differentiable mapping Continuous differentiability Continuously differentiable Continuously differentiable function Local linearity Derivable function Differentiability of a function Nowhere differentiable
is Link from a Wikipage to another Wikipage of	Flow (mathematics) Fractal Fractional Brownian motion Frank–Wolfe algorithm Green's identities List of types of functions Liénard equation Locus (mathematics) LogSumExp

Faceted Search & Find service v1.17_git151 as of Feb 20 2025

Alternative Linked Data Documents: ODE Content Formats:

RDF

ODATA

Microdata

About

OpenLink Virtuoso version 07.20.3240 as of Nov 11 2024, on Linux (x86_64-ubuntu_focal-linux-gnu), Single-Server Edition (72 GB total memory, 1 GB memory in use)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2025 OpenLink Software