AP Calculus AB and BC - Contextual Applications of Differentiation

Overview

Review Unit 4 of AP Calculus AB and BC, focusing on Contextual Applications of Differentiation. Explore key topics including interpreting derivatives in context, straight-line motion, rates of change in various applications, related rates problems, local linearity and linearization, and L'Hospital's Rule. Gain a comprehensive understanding of how differentiation applies to real-world scenarios through clear explanations and examples. Access accompanying study guides and practice questions to reinforce learning and prepare effectively for AP exams.

Syllabus

- Introduction.
- 4.1 Interpreting the Meaning of the Derivative in Context.
- 4.2 Straight-Line Motion: Connecting Position, Velocity, and Acceleration.
- 4.3 Rates of Change in Applied Contexts Other Than Motion.
- 4.4 Introduction to Related Rates.
- 4.5 Solving Related Rates Problems.
- 4.6 Approximating Values of a Function Using Local Linearity and Linearization.
- 4.7 Using L'Hospital's Rule for Determining Limits of Indeterminate Forms.
- Summary.