Stewart6e4_1

# Stewart6e4_1 - MATH 191, Sections 1 and 3 Calculus I Fall...

This preview shows pages 1–3. Sign up to view the full content.

MATH 191, Sections 1 and 3 Calculus I Fall 2007 Section 4.1: Maxima and Minima (And we ain’t talkin’ Nissans. ..) We start oﬀ with a load of. .. ...Deﬁnitions. We say that the number c is a (or ) for the function f if f ( c ) f ( x ) for all x in f ’s domain. A (or ) is deﬁned analogously: for such c , f ( c ) f ( x ) for all x in f ’s domain. The value f ( c ) is called, respectively, the ( ) for f . Collectively, these numbers and (note the plural forms!) are called ( ) for the function f . It is often easy to ﬁnd the global , given a graph of the func- tion. More challenging can be ﬁnding these points algebraically, straight from a function’s formula. Examples. Where are the global extrema of the function f ( x ) = x 2 ? What value(s) does the function take there? What about for the function f ( x ) = cos( x )?

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
More generally, there may be points x = c at which the function attains a maximum or minimum value in a neighborhood of c ; such values of x will be called
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 04/08/2008 for the course MATH 191 taught by Professor Bahls during the Fall '07 term at UNC Asheville.

### Page1 / 5

Stewart6e4_1 - MATH 191, Sections 1 and 3 Calculus I Fall...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online