AdvancedFTC

Graph Relationships

Overview

Understand how the graphs of f, f′, and ∫f are related. This synthesizes everything in calculus.

Key Concepts

1

Peaks of f → zeros of f′

2

Inflection points of f → peaks of f′

3

f′ positive → f increasing; ∫f has positive slope

See it in action

Use the interactive visualizer to explore this concept with real graphs.

Open Derivative Explorer