Difference between revisions of "PartialFractions Command"
From GeoGebra Manual
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;PartialFractions[ <Function> ] | ;PartialFractions[ <Function> ] | ||
| − | :Yields the [[w:Partial fraction|partial fraction]] of the given 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]]. |
{{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>}} | {{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>}} | ||
==CAS Syntax== | ==CAS Syntax== | ||
;PartialFractions[ <Function> ] | ;PartialFractions[ <Function> ] | ||
| − | :Yields the | + | :Yields, if possible, the partial fraction of the given function for the main function variable. |
{{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>}} | {{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>}} | ||
;PartialFractions[ <Function>, <Variable> ] | ;PartialFractions[ <Function>, <Variable> ] | ||
| − | :Yields the | + | :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>}} | {{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>}} | ||
Revision as of 14:56, 21 October 2011
- 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 Graphics View.
Example:
PartialFractions[x^2 / (x^2 - 2x + 1)] yields 1 + \frac{2}{x - 1} + \frac{1}{x^2 - 2x + 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 - 2x + 1)] yields 1 + \frac{2}{x - 1} + \frac{1}{x^2 - 2x + 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{2}{a - 1} + \frac{1}{a^2 - 2a + 1}.
