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Proposition: Derivate of Absolute Value Function Does Not Exist at \(0\)

The absolute value function $f(x)=|x|,$ $x\in\mathbb R,$ has no derivative at the point $x=0.$ However, it has a left- and a right-derivative at this point.

Table of Contents

Proofs: 1

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References

Bibliography

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