Even and odd functions: Difference between revisions

Revision as of 15:48, 12 April 2004

Revision as of 15:53, 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 ''x''<supmath>x^2''n''</supmath> where ''n'' is any non-negative integer, <math>cos(x)</math>, <math>cosh(x)</math>, and the [[absolute value]].

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

* The [[multiplication|product]] of 2 even functions is an even function.

* The [[addition|sum]] of 2 even functions is an even function.

==Odd functions==