# Category:Partial Differentiation

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 6 subcategories, out of 6 total.

## Pages in category "Partial Differentiation"

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