1. Basic Differentiation Rules and Rate of Change
Section 2.2
Basic Differentiation Rules and
Rate of Change

2. Overview 4 Basic Rules Trig Rules (sine and cosine)
Average and Instantaneous rates of change

3. Rule 1: Constant Rule
Function
Derivative

4. Rule 2: Power Rule
Function
Work
Derivative

5. Rule 3: Constant Multiple
Function
Work
Derivative

6. Rule 4: Sum and Difference
Function
Work
Derivative

7. Trig Derivatives

11. Rates of Change: Average and Instantaneous Velocity

12. (b, s(b))
(a, s(a))

13. We need to find the slope of the tangent line when t=a. (b, s(b))
(b, s(b))
(a, s(a))
We need to find the slope of the tangent line when t=a.

16. Ex: At t=0, a diver jumps off of the high dive platform from 32 ft above the water. The diver’s initial velocity is 16 ft/s.
Write the position function of the diver
When does the diver hit the
water?
What is the diver’s velocity at
impact?