Unit 5 · 15–20% of the exam Beta

Analytical Applications of Differentiation

12 topics · not practiced yet

Practice this unitUnit sheet

Topics, in course order

  1. 5.1The Mean Value TheoremNot practicedLessonNotes
  2. 5.2Extreme Value Theorem, Global and Local Extrema, Critical PointsNot practicedLessonNotes
  3. 5.3Where a Function Increases or DecreasesNot practicedLessonNotes
  4. 5.4The First Derivative TestNot practicedLessonNotes
  5. 5.5The Candidates TestNot practicedLessonNotes
  6. 5.6Concavity and Points of InflectionNot practicedLessonNotes
  7. 5.7The Second Derivative TestNot practicedLessonNotes
  8. 5.8Sketching f, f' and f''Not practicedLessonNotes
  9. 5.9Connecting f, f' and f''Not practicedLessonNotes
  10. 5.10Introduction to OptimizationNot practicedLessonNotes
  11. 5.11Solving Optimization ProblemsNot practicedLessonNotes
  12. 5.12Behavior of Implicit RelationsNot practicedLessonNotes

Practice this unit

Question setExam-style questions from this unit's 12 topics, with an explanation for every option. Unit testA timed test on the whole unit, every topic weighted equally. Tools for this unit1 trainer.

In this unit's tools

Trainers 1

Free-response questions 3