1. 3.3 Techniques of Differentiation Derivative of a Constant (page 191) The derivative of a constant function is 0.

2. Derivative of x to a Power (page 191) To differentiate x to any integer power, multiply that power by x raised to the next lowest integer power.

3. Derivative of x to a Power Example 7 (page 196) / 7

4. Derivative of a Constant Times a Function (page 192) A constant factor can be moved through a derivative sign.

5. Derivatives of Sums and Differences (page 192-193) The derivative of a sum equals the sum of the derivatives, and the derivative of a difference equals the difference of the derivative.

6. Derivatives of Sums and Differences - Examples (page 193)

7. Derivative of a Product (page 193) The derivative of a product of two functions is the first function times the derivative of the second plus the second times the derivative of the first.

8. Derivative of a Product Examples (page 194) Derivative of a product of polynomials can be done by two methods. One method is to follow the derivative of a product rule. The other method is to expand the product and then use previously presented derivative rules.

9. Derivative of a Product Examples (page 194)

11. Derivative of a Quotient (page 193-194) The derivative of a quotient of two functions is the denominator times the derivative of the numerator minus the numerator times the derivative of the denominator all divided by the denominator squared.

12. Derivative of a Quotient Example 6a,b (page 195)

13. Derivative of a Quotient Example 6b (page 195) 6b For the function in example 6, find the exact location of the horizontal tangent lines.

14. Derivative of a Quotient Example 6b (page 196)

15. Derivative of a Reciprocal (not in new edition) The derivative of the reciprocal of a function is the negative of the derivative of the function divided by the function squared. This relationship is actually an application of the derivative of a quotient with the numerator being 1.

16. Derivative of a Reciprocal Example (not in new edition)

17. Higher Derivatives (page 197) / 8

18. Higher Derivatives (page 197)