ap calc unit 3.1 - 3.2

extreme value theorem and what is the interval x or y values

interval: x-values (absolute extrema)

relative extrema

higher or lower f(c) than neighboring points

there can be no relative extrema where?

at end points

can there be absolute at end points?

yes

can there be a absolute and a relative

yes

critical numbers

x-values of the function where f ‘{c} = 0 or f’ is undefined at x=c

critical points and how do they differ from critical numbers

where do the absolute values only happen

on end points and critical points

Where the absolute min or max occurs is

an x- value

what the absolute min or max is

a y-value

what happens if you get a critical value thats not in the interval of the original function

ignore it

mean value theorem