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Definition: Reciprocal Function

For a real number $x\in\mathbb R$, $x\neq 0$, the reciprocal function is a function defined by

\[f(x):=\frac 1x.\]

The graph of the reciprocal function is shown in the following figure:

Table of Contents

1. Proposition: Derivative of the Reciprocal Function
2. Proposition: Integral of the Reciprocal Function

Mentioned in:

Propositions: 1 2

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References

Bibliography

1. Forster Otto: "Analysis 1, Differential- und Integralrechnung einer Veränderlichen", Vieweg Studium, 1983