Extremum

Tags

Cegep1

Mathematics

Word count

88 words

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1 minute

Point $x = c$ of a function $f$ over its domain $I$ (global or absolute) / an interval $I$ (local or relative) when $\forall x \in I$ , $f (c) \geq f (x)$ (maximum) / $f (c) \leq f (x)$ (minimum)
Pl. extrema

Only occurs at critical points

Evaluation

To find the extrema of $f$ ,

Find $d o m f$ .
Find $f^{'}$ .
Find critical values of $f$ .
Find endpoints of $f$ (use limit if open).
Find extrema by observing monotonicity.

Contributors

Ajitani Hifumi

Changelog

Last edited 3 minutes ago

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Extremum ​

Evaluation ​

Contributors

Changelog

Extremum

Evaluation