Fermat's theorem (stationary point theorem, interior extremum theorem) | math analysis | elementary

Episode 77.

Fermat's theorem (stationary point theorem, interior extremum theorem) | math analysis | elementary.
Fermat's theorem (stationary point theorem, interior extremum theorem) | mathematical analysis | elementary level.

Branch of mathematics: mathematical analysis.
Difficulty level: elementary.

Fermat's theorem (stationary point theorem, interior extremum theorem). Let $f$ be a function defined on an interval (a,b). Suppose that it has a local extremum at an interior point $x_0 \in (a,b)$. And suppose that $f$ is differentiable at $x_0$. Then $f'(x_0)=0$.

Mathematical analysis. Calculus.
#MathematicalAnalysis #Calculus

The same video on YouTube:
https://youtu.be/F0YBuDCV2Jc

The same video on Telegram:
https://t.me/mathematical_bunker/101