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Definition: Even and Odd Functions

Let \(I\subseteq\mathbb R\) be a subset of real numbers and let \(f:I\mapsto\mathbb R\) be a function \(f\) is called:

• even, if \(f(x)=f(-x)\),
• odd, if \(f(x)=-f(-x)\)

for all \(x\in I\).

Table of Contents

1. Proposition: Derivatives of Even and Odd Functions

Mentioned in:

Proofs: 1 2
Propositions: 3 4 5 6

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References

Bibliography

1. Reinhardt F., Soeder H.: "dtv-Atlas zur Mathematik", Deutsche Taschenbuch Verlag, 1994, 10th Edition