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Unformatted text preview: f (x) = 0 or f (x) DNE Relative Extrema: A function f has a relative maximum at x = c if there is an open interval (a,b) containing c such that f(x) < f(c) for all x in (a,b) A function f has a relative minimum at x = c if there is an open interval (a,b) containing c such that f(x) > f(c) for all x in (a,b) To find Relative Extrema: 1 st derivative test 1. Determine the Critical Numbers of f(x) 2. Determine the sign of f (x) to the left and to the right of each critical number. 3. If f (x) changes sign from positive to negative across the critical number, f(c) is a relative maximum. 4. If f (x) changes sign from negative to positive across the critical number, f(c) is a relative minimum. 5.If f (x) does not change sign across the critical number, then f(c) is not a local extremum. Let f(t) = 2t / (t 2 +1) . Determine the t value of any relative extrema....
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This note was uploaded on 02/24/2010 for the course MATH 1431 taught by Professor Vaughn during the Spring '08 term at LSU.
 Spring '08
 VAUGHN
 Calculus, Derivative

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