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Critical point

A critical point of y = f(x) is a point a in the domain of f where the derivative is equal to zero or does not exist.

A critical point of y = f(x,y) is a point (a,b) in the domain of f such that fx(x,y) = 0 and fy(x,y) = 0 or at least one of these partial derivatives does not exist.

Critical points are the candidates for where a function achieves its extreme values.


A B C D E F G H I J K L M N O P Q R S T U V W X Y Z


Extreme values


Copyright © 2006 Darel Hardy, Fred Richman, Carol Walker, Robert Wisner. All rights reserved. Except upon the express prior permission in writing, from the authors, no part of this work may be reproduced, transcribed, stored electronically, or transmitted in any form by any method.

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