# Category:Partial Differentiation

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This category contains results about **Partial Differentiation**.

Definitions specific to this category can be found in Definitions/Partial Differentiation.

The **partial derivative of $f$ with respect to $x_i$ at $a$** is denoted and defined as:

- $\map {\dfrac {\partial f} {\partial x_i} } a := \map {g_i'} {a_i}$

where:

- $g_i$ is the real function defined as $\map g {x_i} = \map f {a_1, \ldots, x_i, \dots, a_n}$
- $\map {g_i'} {a_i}$ is the derivative of $g$ at $a_i$.

## Subcategories

This category has the following 7 subcategories, out of 7 total.

### C

### D

### E

### G

## Pages in category "Partial Differentiation"

The following 9 pages are in this category, out of 9 total.