# Functional differentiation

### From HaskellWiki

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(explanation of Functional differentiation) |
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+ | == Introduction == | ||

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+ | Functional differentiation means computing or approximating the deriviative of a function. | ||

+ | There are several ways to do this: | ||

+ | * Approximate the derivative <math>f'(x)</math> by <math>\frac{f(x+h)-f(x)}{h}</math> where <math>h</math> is close to zero. (or at best the square root of the machine precision <math>\varepsilon</math>. | ||

+ | * Compute the derivative of <math>f</math> symbolically. This approach is particularly interesting for Haskell. | ||

+ | |||

== Blog Posts == | == Blog Posts == | ||

## Revision as of 12:31, 20 June 2007

## 1 Introduction

Functional differentiation means computing or approximating the deriviative of a function. There are several ways to do this:

- Approximate the derivative
*f*'(*x*) by where*h*is close to zero. (or at best the square root of the machine precision . - Compute the derivative of
*f*symbolically. This approach is particularly interesting for Haskell.

## 2 Blog Posts

There have been several blog posts on this recently. I think we should gather the information together and make a nice wiki article on it here. For now, here are links to articles on the topic.