Local Maxima and Minima
This video presents the same text shown beside it, spoken and on screen. It adds nothing the text does not say.
State
A local maximum is an output larger than its neighbors on both sides; a local minimum is smaller than both — the turning points between rising and falling.
Show
f(x) = x² turns once: a local minimum of 0 at x = 0, where decreasing hands off to increasing.
Builds on
- Nothing — this is a starting point.
Unlocks
- Nothing yet depends on this.