4.1 max & min

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Author:
jojobean0203
ID:
215004
Filename:
4.1 max & min
Updated:
2013-04-22 02:00:28
Tags:
calc
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Description:
max & min
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  1. 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]
  2. Fermat's theorem
    • if: f(x) has a local max or min @ c & f'(c) exists
    • then: f'(c) = 0
  3. critical #
    • # c in domain of f such that either:
    • f'(c) = 0 or
    • f'(c) dne
  4. 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

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