Alternative monotonicity condition extremum | Wiskunde op Tilburg University

Introduction: For some situations one can use an alternative formulation of the Monotonicity condition extremum.

Theorem: Assume

$c$ is the only stationary point of a function

$y(x)$ on an interval and

$a$ is a point to the left of

$c$ and

$b$ a point to the right of

$c$ such that

$a<c<b$ . It holds that: