1. 3-5 Higher Derivatives Tues Oct 20 Do Now Find the velocity at t = 2 for each position function 1) 2)

2. HW Review: p.156 #1-11 15-37

3. Higher Derivatives You can compute higher derivatives by continually taking derivatives of your answer Second derivative:

4. Ex 1 Calculate f’’’(-1) for

5. Ex 2 Calculate the first four derivatives of

6. Ex 3 If you use product rule for the first derivative, you will need it for any higher derivatives Ex: Find the first three derivatives of

7. Acceleration Since velocity is the first derivative of position, acceleration is the 2nd derivative Ex: A ball’s position can be modeled by the function Find the velocity and acceleration functions for the ball

8. Graph of the second derivative The graph of the second derivative describes how fast/slow the slope is changing Large second derivative = slope changes quickly

9. Closure Compute the fourth derivative of HW: p.163 #1-29 odds 37-45 odds 3.1-3.6 Quiz soon (Fri)