Unit 4: Contextual Applications of Differentiation

How can we use the derivative to understand the behavior of functions in real-world contexts?
How can we apply the derivative to solve problems involving rates of change and optimization?
What is the relationship between position, velocity, and acceleration, and how can we use calculus to analyze motion?
How can we use linear approximation to estimate values of functions and analyze error?
What is L'Hôpital's Rule, and how can we use it to evaluate indeterminate forms?

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'Hopital's Rule for Determining Limits of
Indeterminate Forms

College Board AP Classroom Assessments