Concept

Relative Minimum and Maximum

The value is a relative minimum, or local minimum, of a function if is the least output of around Likewise, the value is a relative maximum, or local maximum, of a function if is the greatest output of around
Relative extrema of a cubic function
If the function is continuous, the function switches from increasing to decreasing at a relative maximum or from decreasing to increasing at a relative minimum.
Sometimes the phrase relative extrema is used to refer to both relative maximums and relative minimums. Note that a function can have one or more relative extrema, or none at all.
Exercises