Difference between revisions of "PartialFractions Command"
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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|function}} | <noinclude>{{Manual Page|version=5.0}}</noinclude>{{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 [[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 the [[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>}} | ||
| − | + | ||
| − | + | {{hint|1= | |
| − | : | + | In the [[File:Menu view cas.svg|link=|16px]] [[CAS View]] you can also use the following syntax: |
| − | + | <br> | |
;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{1}{(a - 1)²}</math> + <math>\frac{2}{(a-1)}</math>''.</div>}} | :{{example|1=<div><code><nowiki>PartialFractions[a^2 / (a^2 - 2a + 1), a]</nowiki></code> yields ''1 + <math>\frac{1}{(a - 1)²}</math> + <math>\frac{2}{(a-1)}</math>''.</div>}} | ||
| + | }} | ||
Revision as of 09:44, 3 September 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 the
Graphics View. - Example:
PartialFractions[x^2 / (x^2 - 2x + 1)]yields 1 + \frac{1}{(x - 1)²} + \frac{2}{x-1}.
Hint: In the 
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)}.
