Topic: Critical Points and Monotonicity

Why the Closed-Interval Candidate List Is Complete

Why Sign Changes Classify Local Extrema

Why Derivative Signs Determine Monotonicity

Trigonometric Absolute Extrema on Closed Intervals

The First Derivative Test

The Extreme Value Theorem and Its Hypotheses

Strict Monotonicity and the Absence of Interior Extrema

Stationary Points That Are Not Extrema

Stationary Points, Critical Numbers, and Endpoints

Sign Charts Across Disconnected Domains