Unit 2: Derivatives
First Semester (Calculus AP) Syllabus A video tour of the curriculum Calculator doc/video listing Enrichment topics Rev 1 Adobe Flash Player is required to watch the videos.
- Unit Two AP Calculus Practice Test Derivatives (Part One) Page 3 of 5 13. A particle moves along a line so that its position at any time tt0 is given by the function s t t t 2 5 33, where s is measured in feet and t is measured in seconds. A) Find the displacement during the first 5 seconds.
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- View Unit 2 Derivative Rules Test 2021.pdf from MATH 317704 at Chantilly High. AP Calculus AB Unit 2 Test Differentiation Rules Name Date Per Multiple Choice. Choose the best response for each.
In this unit, you will learn first the concept of a derivative by explaining it through limits. You will see that the limit definition and computation are drawn out, and often difficult, so you will learn shortcuts to compute derivatives. You will learn to compute derivatives for all different types of functions, as well as for combinations of functions. After you learn how to compute derivatives, you will look at what derivatives tell you specifically at any point in a function, as well as what they tell you about the function as a whole. You will finish this unit by looking at the computation and meaning of second derivatives, as well as real-life applications of derivatives. The main applications to be reviewed in this unit will be related rates problems, optimization problems, and problems involving displacement, velocity, and acceleration.
Completing this unit should take you approximately 54 hours.
Chapter 2 Notes
Chapter 2 Practice Notes
Visualize with GeoGebra – the tangent line problem – the derivative
In Class Notes
Limit Process for Derivatives – Notes
Power Rule – Notes
Product Rule, Quotient Rule, and Higher Order Derivatives – Notes
Chain Rule – Notes
Implicit Derivatives – Notes
Related Rates – Notes
2.1-2.2 Quiz Review
2.3- 2.4 Quiz Review
Unit 2 Derivative Rulesap Calculus Equation
Practice Problems Videos for Problems 1 & 2 & 3 (YouTube Playlist)
Quiz 2.3-2.4 Review
Examples for Quiz
Practice 1, 2, 3
Chapter 2 Test Review
FRQ Test Review – Answers
Unit 2 Derivative Rulesap Calculus Calculator
More Test Review Problems