Differenzierbarkeitsklasse
Differenzierbarkeitsklasse refers to a classification system used in mathematics, particularly in analysis, to describe the degree of smoothness of a function. A function is assigned to a certain differentiability class based on how many times it can be continuously differentiated.
The most basic class is C0, which includes all continuous functions. A function is in C1 if
The class C∞ is reserved for functions that are infinitely often differentiable, meaning they possess derivatives
The concept of differentiability class is crucial in various areas of mathematics, including differential equations, where