= Pompeiu derivative
{wiki=Pompeiu_derivative}
The Pompeiu derivative is a concept from the field of mathematical analysis, specifically in the study of functions and their differentiability. It is defined through the idea of a limit, similar to the conventional derivative but under different conditions. For a function \\( f: \\mathbb\{R\} \\to \\mathbb\{R\} \\), the Pompeiu derivative at a point \\( a \\) is defined using the average rate of change over smaller neighborhoods around \\( a \\).
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