1. PRODUCT AND QUOTIENT RULES AND HIGHER-ORDER DERIVATIVES
Section 2.3

2. When you are done with your homework, you should be able to…
Find the derivative of a function using the Product Rule
Find the derivative of a function using the Quotient Rule
Find the derivative of a trigonometric function
Find a higher order derivative of a function

3. THE PRODUCT RULE
The product of two differentiable functions f and g is itself differentiable.
The derivative of fg is the first function times the derivative of the second, plus the second function times the derivative of the first.

4. Find the derivative of

5. Extension of the Product Rule

6. Find the derivative of
All of the above

7. THE QUOTIENT RULE
The quotient of two differentiable functions f and g is itself differentiable at all values of x for which
The derivative of is the denominator times the derivative of the numerator minus the numerator times the derivative of the denominator, all divided by the denominator squared.

8. Evaluate and simplify

9. Evaluate and simplify

10. Evaluate and simplify

11. Derivatives of the Remaining Trigonometric Functions

12. Higher Order Derivatives

13. Evaluate the third derivative of the function