1. Warm up: Below is a graph of f(x). Sketch the graph of f’(x)

2. Warm up: Below is a graph of f(x). Sketch the graph of f’(x)

3. Derivatives of Polynomials
Section 2.2

4. Power Rule for a Polynomial
Eg) Find the derivative function of:

5. Power Rule for a Polynomial
Proof: Find the derivative of the general power function:

6. Polynomial Sum Rule
Eg) Find the derivative of

7. Polynomial Sum Rule
Proof: Find the derivative of:

8. Constant Multiple Rule
Eg) Find the derivative of the following function:

9. Constant Multiple Rule
Proof: Find the derivative of

10. Practice: Find the following derivatives
a) b)

11. Summary: What are the three rules for derivatives we looked at today?
If a function has a derivative function that is always positive, what does that mean about the function?
Practice: Pg. 82, #2, 3, 5, 8, 18, 21, 26