Difference between revisions of "PartialFractions Command"

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<noinclude>{{Manual Page|version=5.0}}</noinclude>
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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|function}}
{{command|cas=true|function}}
 
 
;PartialFractions[ <Function> ]
 
;PartialFractions[ <Function> ]
:Yields, if possible, the [[w:Partial fraction|partial fraction]] of the given function for the main function variable. The graph of the function is plotted in [[Graphics View]].  
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:Yields, if possible, the [[w:Partial fraction|partial fraction]] of the given function for the main function variable. The graph of the function is plotted in [[File:Menu view graphics.svg|link=|16px]] [[Graphics View]].  
 
:{{example|1=<div><code><nowiki>PartialFractions[x^2 / (x^2 - 2x + 1)]</nowiki></code> yields ''1 + <math>\frac{1}{(x - 1)²}</math> + <math>\frac{2}{x-1}</math>''.</div>}}
 
:{{example|1=<div><code><nowiki>PartialFractions[x^2 / (x^2 - 2x + 1)]</nowiki></code> yields ''1 + <math>\frac{1}{(x - 1)²}</math> + <math>\frac{2}{x-1}</math>''.</div>}}
 
==CAS Syntax==
 
==CAS Syntax==

Revision as of 15:51, 6 August 2015


PartialFractions[ <Function> ]
Yields, if possible, the partial fraction of the given function for the main function variable. The graph of the function is plotted in Menu view graphics.svg Graphics View.
Example:
PartialFractions[x^2 / (x^2 - 2x + 1)] yields 1 + \frac{1}{(x - 1)²} + \frac{2}{x-1}.

CAS Syntax

PartialFractions[ <Function> ]
Yields, if possible, the partial fraction of the given function for the main function variable.
Example:
PartialFractions[x^2 / (x^2 - 2 x + 1)] yields 1 + \frac{1}{(x - 1)²} + \frac{2}{x-1}.
PartialFractions[ <Function>, <Variable> ]
Yields, if possible, the partial fraction of the given function for the given function variable.
Example:
PartialFractions[a^2 / (a^2 - 2a + 1), a] yields 1 + \frac{1}{(a - 1)²} + \frac{2}{(a-1)}.
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