Difference between revisions of "PartialFractions Command"

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<noinclude>{{Manual Page|version=4.0}}</noinclude>
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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|function}}
{{command|cas=true|function}}
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;PartialFractions( <Function> )
;PartialFractions[ <Function> ]
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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 the [[File:Menu view graphics.svg|link=|16px]] [[Graphics View]].  
: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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:{{example|1=<code><nowiki>PartialFractions(x^2 / (x^2 - 2x + 1))</nowiki></code> yields ''1 + <math>\frac{1}{(x - 1}</math> + <math>\frac{2}{x-1}</math>''.}}
{{example|1=<div><code><nowiki>PartialFractions[x^2 / (x^2 - 2x + 1)]</nowiki></code> yields ''1 + <math>\frac{2}{x - 1}</math> + <math>\frac{1}{x^2 - 2x + 1}</math>.</div>}}
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==CAS Syntax==
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{{hint|1=
;PartialFractions[ <Function> ]
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In the [[File:Menu view cas.svg|link=|16px]] [[CAS View]] you can also use the following syntax:
:Yields, if possible, the partial fraction of the given function for the main function variable.
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<br>
{{example|1=<div><code><nowiki>PartialFractions[x^2 / (x^2 - 2x + 1)]</nowiki></code> yields ''1 + <math>\frac{2}{x - 1}</math> + <math>\frac{1}{x^2 - 2x + 1}</math>.</div>}}
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;PartialFractions( <Function>, <Variable> )
;PartialFractions[ <Function>, <Variable> ]
 
 
:Yields, if possible, the partial fraction of the given function for the given function variable.
 
:Yields, if possible, the partial fraction of the given function for the given function variable.
{{example|1=<div><code><nowiki>PartialFractions[a^2 / (a^2 - 2a + 1), a]</nowiki></code> yields ''1 + <math>\frac{2}{a - 1}</math> + <math>\frac{1}{a^2 - 2a + 1}</math>.</div>}}
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:{{example|1=<code><nowiki>PartialFractions(a^2 / (a^2 - 2a + 1), a)</nowiki></code> yields ''1 + <math>\frac{1}{(a - 1}</math> + <math>\frac{2}{(a-1)}</math>''.}}
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}}

Latest revision as of 08:42, 9 October 2017


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 the 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}.


Note Hint: In the Menu view cas.svg CAS View you can also use the following syntax:


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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