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AP Calculus Chapter 2, Section 2 Basic Differentiation Rules and Rates of Change 2013 - 2014.

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Presentation on theme: "AP Calculus Chapter 2, Section 2 Basic Differentiation Rules and Rates of Change 2013 - 2014."— Presentation transcript:

1 AP Calculus Chapter 2, Section 2 Basic Differentiation Rules and Rates of Change 2013 - 2014

2 The Constant Rule

3 Find the derivative of each function FunctionDerivative

4 Exploration: The Power Rule Use the definition of a derivative to find the derivative of each function. Do you see the pattern?? FunctionDerivative

5 The Power Rule

6 Using the Power Rule FunctionDerivative

7 Find the slope of a graph

8

9 The Constant Multiple Rule

10 Using the Constant Multiple Rule FunctionDerivative

11 Using Parentheses When Differentiating Original Function RewriteDifferentiateSimplify

12 The Sum and Difference Rules

13 Using the Sum and Difference Rules FunctionDerivative

14 Derivatives of Sine and Cosine Functions

15 Derivatives Involving Sines and Cosines FunctionDerivative

16 Rates of Change

17 Finding Average Velocity of a Falling Object

18

19 Using the Derivative to Find Velocity

20

21 Ch. 2.2 Homework Pg. 115 – 117: 3 – 23 odd, 27, 31, 33, 39, 43, 45, 51, 53, 57, 83, 85, 93, 95, 103 Total problems: 25


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