Learning

Using the First Derivative to Analyze Function Behavior

Limits and Continuity → Extrema Classification and Applications

This learning path guides university students through the process of using the first derivative to determine intervals of increase and decrease and to classify local extrema. It begins with the necessary prerequisites (limits, continuity, and the definition of the derivative), then introduces the Mean Value Theorem as the theoretical foundation, and finally applies these concepts to function analysis and extrema classification.