Even and odd functions: Difference between revisions

Revision as of 15:53, 12 April 2004

Revision as of 18:32, 12 April 2004

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The denomination '''even''' is due to the fact that the Taylor series of an even function includes only even powers.

Examples of even functions are <math>x^2</math>, <math>x^4</math>, <math>cos(x)</math>, <math>cosh(x)</math>.

* The double [[derivative]] of any even function is an even function.

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The denomination '''odd''' is due to the fact that the Taylor series of an odd function includes only odd powers.

Examples of odd functions are <math>x</math>, <math>x^3</math> and, <math>sin(x)</math>, <math>sinh(x)</math>.

==See also==