4_1 - Section 4.1: Maximum and Minimum Values Instructor:...

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Section 4.1: Maximum and Minimum Values Instructor: Ms. Hoa Nguyen (nguyen@scs.fsu.edu) Maximum and Minimum Values Definition : Let D be the domain of f , a function f has: an absolute maximum (or global maximum ) at c if f ( c ) f ( x ) for all x in D . f ( c ) is called the absolute maximum value of f on D . an absolute minimum (or global minimum ) at c if f ( c ) f ( x ) for all x in D . f ( c ) is called the absolute minimum value of f on D . The absolute maximum value or absolute minimum value of f are called the extreme values of f . Definition : Let V be some open interval containing c ( V D ), a function f has: a local maximum (or relative maximum ) at c if f ( c ) f ( x ) for all x in V . f ( c ) is called the local maximum value of f on D . a local minimum (or relative minimum ) at c if f ( c ) f ( x ) for all x in V . f ( c ) is called the local minimum value of f on D . Example 4 of Section 4.1
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4_1 - Section 4.1: Maximum and Minimum Values Instructor:...

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