Category:Definitions/Differentiability Classes
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This category contains definitions related to Differentiability Classes.
Related results can be found in Category:Differentiability Classes.
Let $f: \R \to \R$ be a real function.
Then $\map f x$ is of differentiability class $C^k$ if and only if:
- $\dfrac {\d^k} {\d x^k} \map f x \in C$
where $C$ denotes the class of continuous real functions.
That is, $f$ is in differentiability class $k$ if and only if there exists a $k$th derivative of $f$ which is continuous.
Pages in category "Definitions/Differentiability Classes"
The following 6 pages are in this category, out of 6 total.