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

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Presentation transcript:

AP Calculus Chapter 2, Section 2 Basic Differentiation Rules and Rates of Change

The Constant Rule

Find the derivative of each function FunctionDerivative

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

The Power Rule

Using the Power Rule FunctionDerivative

Find the slope of a graph

The Constant Multiple Rule

Using the Constant Multiple Rule FunctionDerivative

Using Parentheses When Differentiating Original Function RewriteDifferentiateSimplify

The Sum and Difference Rules

Using the Sum and Difference Rules FunctionDerivative

Derivatives of Sine and Cosine Functions

Derivatives Involving Sines and Cosines FunctionDerivative

Rates of Change

Finding Average Velocity of a Falling Object

Using the Derivative to Find Velocity

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