1. Examples: Find the derivative 1. 2.

2. Higher Order Derivatives 1 st Derivative: 2 nd Derivative: 3 rd Derivative: 4 th Derivative:

3. Examples: Find the second derivative. 3.

4. Find the 5 th Derivative 4. *Any derivative larger than the degree of a polynomial function is 0.

5. Applications: Acceleration Function 5. On the moon, the acceleration caused by gravitational forces is a lot less than that of Earth. The position function of an object in free- fall on the moon is What is the ratio of gravitational acceleration on the moon compared to that on the Earth?

6. Moon Earth So, the gravitational acceleration on Earth is about 6 times stronger than on the moon.