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- Difference_quotient abstract "The primary vehicle of calculus and other higher mathematics is the function. Its "input value" is its argument, usually a point ("P") expressible on a graph. The difference between two points, themselves, is known as their Delta (ΔP), as is the difference in their function result, the particular notation being determined by the direction of formation:Forward difference: ΔF(P) = F(P + ΔP) − F(P);Central difference: δF(P) = F(P + ½ΔP) − F(P − ½ΔP);Backward difference: ∇F(P) = F(P) − F(P − ΔP).The general preference is the forward orientation, as F(P) is the base, to which differences (i.e., "ΔP"s) are added to it. Furthermore,If |ΔP| is finite (meaning measurable), then ΔF(P) is known as a finite difference, with specific denotations of DP and DF(P);If |ΔP| is infinitesimal (an infinitely small amount——usually expressed in standard analysis as a limit: ), then ΔF(P) is known as an infinitesimal difference, with specific denotations of dP and dF(P) (in calculus graphing, the point is almost exclusively identified as "x" and F(x) as "y").The function difference divided by the point difference is known as the difference quotient (attributed to Isaac Newton,[citation needed] it is also known as Newton's quotient):If ΔP is infinitesimal, then the difference quotient is a derivative, otherwise it is a divided difference:".
- Difference_quotient wikiPageExternalLink diffquot.html.
- Difference_quotient wikiPageExternalLink DividedDifference.html.
- Difference_quotient wikiPageExternalLink Mean-ValueTheorem.html.
- Difference_quotient wikiPageExternalLink lnotes78.html.
- Difference_quotient wikiPageExternalLink tr1415r.abs.html.
- Difference_quotient wikiPageExternalLink node31.html.
- Difference_quotient wikiPageID "241863".
- Difference_quotient wikiPageRevisionID "584733172".
- Difference_quotient date "August 2013".
- Difference_quotient hasPhotoCollection Difference_quotient.
- Difference_quotient reason "This article neglects the basic Wikipedia conventions of WP:MOS and WP:MOSMATH.".
- Difference_quotient subject Category:Differential_calculus.
- Difference_quotient subject Category:Numerical_analysis.
- Difference_quotient comment "The primary vehicle of calculus and other higher mathematics is the function. Its "input value" is its argument, usually a point ("P") expressible on a graph.".
- Difference_quotient label "Coeficiente diferencial".
- Difference_quotient label "Difference quotient".
- Difference_quotient label "Differentiequotiënt".
- Difference_quotient label "Differenzenquotient".
- Difference_quotient label "Iloraz różnicowy".
- Difference_quotient label "Rapporto incrementale".
- Difference_quotient label "均差".
- Difference_quotient sameAs Differenzenquotient.
- Difference_quotient sameAs Rapporto_incrementale.
- Difference_quotient sameAs Differentiequotiënt.
- Difference_quotient sameAs Iloraz_różnicowy.
- Difference_quotient sameAs Coeficiente_diferencial.
- Difference_quotient sameAs m.01k2w9.
- Difference_quotient sameAs Q1224446.
- Difference_quotient sameAs Q1224446.
- Difference_quotient wasDerivedFrom Difference_quotient?oldid=584733172.
- Difference_quotient isPrimaryTopicOf Difference_quotient.