Definition: Real Absolute Value Function

The absolute value function is a function defined by

\[f(x):=|x|\]

for all \(x\in\mathbb R,\) where $|x|$ denotes the absolute value of $x$.

The following graph visualizes the absolute value function:

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

Propositions: 1


Thank you to the contributors under CC BY-SA 4.0!

Github:
bookofproofs


References

Bibliography

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