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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:

2468−2−4−6−82468−2−4−6−8
  1. Proposition: Derivate of Absolute Value Function Does Not Exist at 0

Propositions: 1


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References

Bibliography

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