# Category:Differentials

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This category contains results about **Differentials**.

Definitions specific to this category can be found in **Definitions/Differentials**.

### Real Function

Let $U \subset \R$ be an open set.

Let $f: U \to \R$ be a real function.

Let $f$ be differentiable at a point $x \in U$.

The **differential of $f$ at $x$** is the linear transformation $\map {\d f} x : \R \to \R$ defined as:

- $\map {\map {\d f} x} h = \map {f'} x \cdot h$

where $\map {f'} x$ is the derivative of $f$ at $x$.

## Subcategories

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

### D

- Differential Operators (1 P)

### E

- Examples of Differentials (2 P)

## Pages in category "Differentials"

The following 7 pages are in this category, out of 7 total.