# Category:Distributional Derivatives

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This category contains results about Distributional Derivatives.

Let $\phi \in \map \DD \R$ be a test function.

Let $T \in \map {\DD'} \R$ be a distribution.

The **distributional derivative** $\ds \dfrac {\d T} {\d x} \in \map {\DD'} \R$ is defined by:

- $\map {\dfrac {\d T} {\d x}} \phi := - \map T {\dfrac {\d \phi} {\d x}}$

## Subcategories

This category has the following 2 subcategories, out of 2 total.

## Pages in category "Distributional Derivatives"

The following 8 pages are in this category, out of 8 total.