7.6.3 Relative Extrema on an Interval
Chapter 1: Chapter 7 · MATHEMATICS-VOLUME 2 · EN medium
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A function f x ( ) is said to have a relative maximum at x , if there is an open interval containing x on which f x is the largest value. Similarly, f x ( ) is said to have a relative minimum at x , if there is an open interval containing x on which f x is the smallest value. A relative maximum need not be the largest value on the entire domain, while a relative minimum need not be the smallest value on the entire domain. Therefore, there may be more than one relative maximum or relative minimum on the entire domain. A relative extrema of a function is the extreme values (maximum or minimum) of the functions among all the evaluated values of f x
📖 Class 12 Mathematics English Volume 2 2025 Edition www.tntextbooks.in · Page 40
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A function f x ( ) is said to have a relative maximum at x , if there is an open interval containing x on which f x is the largest value. Similarly, f x ( ) is said to have a relative minimum at x , if there is an open interval containing x on which f x is the smallest value. A relative maximum need not be the largest value on the entire domain, while a relative minimum need not be the smallest value on the entire domain. Therefore, there may be more than one relative maximum or relative minimum on the entire domain.
A relative extrema of a function is the extreme values (maximum or minimum) of the functions among all the evaluated values of f x
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