Made by Fiveable
Text-Based Cheatsheet
Unit 5: Analytical Applications of Differentiation on one page, aligned to the 2026-2027 course. Made and checked by the Fiveable Content Team.
Unit 5 – Analytical Applications of Differentiation Cheatsheets
Unit 5: Analytical Applications of Differentiation Cheatsheets
Download the Unit 5 text-based cheatsheet, or make a visual cheatsheet for any Unit 5 topic in the format you study best with.
Made by you
Visual Cheatsheets
Pick a Unit 5 topic and a format: flowchart, comparison chart, vocab sheet, Cornell notes and more. Ready in about a minute.
Visual Cheatsheets
One topic, the format you pick, ready in about a minute
Format
Standard (the whole topic, drawn out)
Topic
Select a topic
Takes 30–60 seconds
Preview: Standard
Made for Unit 5 by Students
5.2 Extreme Value Theorem, Global vs Local Extrema, and Critical Points
Formula sheet
5.2 Extreme Value Theorem, Global vs Local Extrema, and Critical Points
Standard
5.1 Using the Mean Value Theorem
Standard
Unit 5: Analytical Applications of Differentiation, topic by topic
Each topic has a full study guide. See the whole unit.
- 5.1 Using the Mean Value Theorem
- 5.2 Extreme Value Theorem, Global vs Local Extrema, and Critical Points
- 5.3 Determining Intervals on Which a Function is Increasing or Decreasing
- 5.4 Using the First Derivative Test to Determine Relative (Local) Extrema
- 5.5 Using the Candidates Test to Determine Absolute (Global) Extrema
- 5.6 Determining Concavity
- 5.7 Using the Second Derivative Test to Determine Extrema
- 5.8 Sketching Graphs of Functions and Their Derivatives
- 5.9 Connecting a Function, Its First Derivative, and its Second Derivative
- 5.10 Introduction to Optimization Problems
- 5.11 Solving Optimization Problems
- 5.12 Exploring Behaviors of Implicit Relations