AP Calculus Book 2: Derivatives and Application of Differentiation
AP Calculus Book 2: Derivatives and Application of Differentiation
Master Derivatives and Their Applications
AP Calculus Book 2: Derivatives and Application of Differentiation is designed to guide students through the essential concepts of derivatives, preparing them for success on the AP Calculus exam. This book builds on foundational pre-calculus knowledge and focuses on understanding, calculating, and applying derivatives in various contexts.
Understanding Derivatives
The book begins by introducing the concept of the derivative, its definition, and geometric interpretation. First, students learn about the limit process, rules of differentiation, and techniques for differentiating algebraic, trigonometric, exponential, and logarithmic functions. Next, it explains higher-order derivatives and their significance in understanding function behavior.
Applications of Differentiation
In addition, the book emphasizes practical applications of derivatives. Students explore topics such as rate of change, motion problems, optimization, related rates, and curve sketching. Furthermore, the book connects derivatives to real-world scenarios, helping students see the relevance of calculus in science, engineering, and economics.
Problem-Solving and Practice
AP Calculus Book 2 provides numerous examples, step-by-step solutions, and practice problems to reinforce understanding. Moreover, it includes strategies for approaching complex problems, enhancing analytical skills, and building confidence in tackling AP exam questions.
Exam Preparation
Finally, the book features practice assessments designed to simulate the AP Calculus exam environment. Additionally, review questions and exercises allow students to evaluate their progress, identify areas of improvement, and solidify their mastery of derivatives.
Whether you are preparing for the AP exam or aiming to strengthen your calculus skills, AP Calculus Book 2: Derivatives and Application of Differentiation is an essential resource for mastering one of the most critical topics in calculus.
Course Features
- Lectures 8
- Quizzes 8
- Duration 52 weeks
- Skill level All levels
- Language English
- Students 297
- Assessments Yes
- 1 Section
- 8 Lessons
- 52 Weeks
- Derivatives16
- 1.1Differentiation
- 1.2Differentiation Quiz10 Minutes4 Questions
- 1.3Rules for Differentiation
- 1.4Rules for Differentiation Quiz10 Minutes5 Questions
- 1.5Intermediate Value Theorem
- 1.6Intermediate Value Theorem Quiz10 Minutes3 Questions
- 1.7Velocity and other rates of changes
- 1.8Velocity and other rates of changes Quiz10 Minutes3 Questions
- 1.9Derivatives of Trigonometric Functions
- 1.10Derivatives of Trigonometric Functions QUIZ10 Minutes5 Questions
- 1.11Chain Rule (Derivative of a Composite Function)
- 1.12Chain Rule Quiz10 Minutes6 Questions
- 1.13Implicit Differentiation
- 1.14Implicit Differentiation Quiz10 Minutes5 Questions
- 1.15Derivatives of Inverse functions
- 1.16Derivatives of Inverse functions Quiz10 Minutes4 Questions
