1. Differentiation Rules
The PRODUCT Rule: In other words, if y = fg then y’ = fg’ + f’g If y = fgh then y’ = f’gh + fg’h + fgh’

2. Example

3. Example

4. Differentiation Rules
The QUOTIENT Rule: In other words, if , then

5. Example

6. Example

7. Differentiation Rules
The TRIGONOMIC Functions: These can all be derived from the quotient rule and the derivatives of sine and cosine. You should become familiar with these!

8. Example
The TRIGONOMIC Functions:

9. Example The TRIGONOMIC Functions:
NOTE: Because of trigonometric identities, the derivative of a trigonometric function can take many forms.

10. High Order Derivatives
Just as a velocity function can be obtained by deriving a position function, acceleration can be obtained by deriving a velocity function. Another way of saying this is that the acceleration function can be obtained by deriving the position function twice.

11. High Order Derivatives

12. Example