4.1 max & min

EVT
 if: f(x) is cont on [a, b]
 then: f(x) reaches abs. max value f(c) & abs. min value f(d) @ some #'s c & d in [a, b]

Fermat's theorem
 if: f(x) has a local max or min @ c & f'(c) exists
 then: f'(c) = 0

critical #
 # c in domain of f such that either:
 f'(c) = 0 or
 f'(c) dne

closed interval method
 to find abs. max & min val of a cont fxn f(x) on [a,b]
 1.) find values of f(x) @ critical #'s of f(x) in (a,b)
 2.) find values of f(x) @ endpoints of interval
 3.) largest value from 1 & 2 is the abs. max val; smallest val is abs. min val