Wolfram Research

Mathematica MathWorld Wolfram Science More »

HOME

Fermat's Theorem on Stationary Points


	Fermat's theorem on stationary points states that if is a local extremum in the interval and is differentiable at , then .


	Contributed by: Julio Cesar de la Yncera

Snapshot 1: a local maximum; notice the slope is zero

Snapshot 2: a local minimum; the slope is also zero here; also notice the change of sign from positive to negative for the maximum and from negative slope to positive slope for the minimum

Stationary Point (Wolfram MathWorld)

Extremum (Wolfram MathWorld)

Differentiable (Wolfram MathWorld)

"Fermat's Theorem on Stationary Points" from The Wolfram Demonstrations Project
http://demonstrations.wolfram.com/FermatsTheoremOnStationaryPoints/

Contributed by: Julio Cesar de la Yncera

Report an issue »

Interact with Demonstrations using the latest version of the free Mathematica Player—Download Now

Browse all topics

Browse all education topics

	Source page:
	Email	Name (optional)
	Occupation (optional)	Organization (optional)
	I use Mathematica often occasionally never
	Country (optional) Remember me
	Note: Please do not include anything you consider confidential or proprietary. Your message and contact information may be shared with the author of any specific Demonstration for which you give feedback, but will not otherwise be published or distributed. Privacy Policy »

Wolfram Research

Site Index

RSS

Atom