AoPSWiki

Do you have what it takes to be the next brilliant trader, researcher, or developer at Jane Street Capital? Find out in the Careers in Mathematics Forum.

Personal tools

Search

Toolbox

Derivative/Notations

From AoPSWiki

Revision as of 01:39, 31 July 2006 by Joml88 (Talk | contribs)

(diff) ← Older revision | Current revision (diff) | Newer revision → (diff)

The following are commonly recognized notations for expressing the derivative of a function.

Euler's notation
First derivative	$D_xf(x)$ or $Du$
Second derivative	$D_x^2f(x)$ or $D^2u$
Third derivative	$D_x^3f(x)$ or $D^3u$
$n$ th derivative	$D_x^nf(x)$ or $D^nu$
Lagrange's notation
First derivative	$f'(x)$
Second derivative	$f''(x)$
Third derivative	$f'''(x)$
$n$ th derivative	$f^{(n)}(x)$
Leibniz's notation
First derivative	$\frac{dy}{dx}$
Second derivative	$\frac{d^2y}{dx^2}$
$n$ th derivative	$\frac{d^ny}{dx^n}$
Newton's notation
First derivative	$\dot{x}$
Second derivative	$\ddot{x}$

See also

Retrieved from "http://www.artofproblemsolving.com/Wiki/index.php/Derivative/Notations"

Looking for a challenging geometry text? Preparing for MATHCOUNTS or the AMC exams? Check out Art of Problem Solving's Introduction to Geometry by Richard Rusczyk.

© Copyright 2008 AoPS Incorporated. All Rights Reserved. • Foundation • Privacy • Contact Us