SECTION 3.2 Basic Differentiation Rules and Rates of Change

3.1 Additional Example 1

3.1 Additional Example 2a

3.1 Additional Example 2b

3.1 Additional Example 2c

Example 1 Theorem 3.2 The Constant Rule (p. 127)

More Differentiation Rules

Example 2

Example 3

Example 4 Derivative of the Natural Exponential Function

Example 5

Example 6

Example 7

Example 8

Physics Applications Average Velocity

Example 9

Position, Velocity & Accelaration Velocity Thus, “velocity is the derivative of position” “acceleration is the derivative of velocity.”

Example 10 Position Function of a Free-Falling Object (Neglecting Air-Resistance) A ball is thrown straight down from the top of a 220-ft building with an initial velocity of -22 ft per second. What is its velocity after 3 seconds? What is its velocity after falling 108 ft.?

Questions??? Don’t forget to be working the practice problems. Study hard!!! Test 1 on Tuesday!