 | Chapter 3 True/False Quiz | | Chapter 4 Summary |
| Chapter 5 True/False Quiz | | Return to Quiz Index | | Return to Main Page |
Techniques of Differentiation
|
| Chapter 3 True/False Quiz | | Chapter 4 Summary |
| Chapter 5 True/False Quiz | | Return to Quiz Index | | Return to Main Page |
1. The derivative of a sum is the sum of the derivatives. 
True 
False
2. The derivative of a difference is the difference of the derivatives. True False
3. The derivative of a product is the product of the derivatives. True False
4. The derivative of a quotient is the quotient of the derivatives. True False
5. The derivative of ln(x2+1) is ln(2x). True False
6. The derivative of ln(x2+1) is 1/(2x). True False
7. The first rule that we would use to find the derivative of f(x) = x(1+x)12 is the product rule. True False
8. The first rule that we would use to find the derivative of f(x) = ln(x2
1) is the product rule. True False
9. If the selling price of a product is raised, total revenue from sales of the product must rise due to the increased revenue per item. True False
10. If the selling price of a product is raised, total revenue from sales of the product must decline due to the decrease in the number of items sold. True False
11. The derivative of 2x is x2x1. True False
12. The derivative of 2x is 2x. True False
13. The derivative of ex is ex. True False
14. In exponential growth, the rate of change is constant. True False
15. In exponential growth, the percentage rate of change is constant. True False
16. The graph of the linear approximation of f near x = a is the tangent line to the graph of f at x = a. True False
17. The linear approximation of f near x = a is a good approximation for most values of x. True False
18. If f(x) increases by approximately 2% when x changes from a to a+h, then f(x) will decrease by approximately 2% when x changes from a to ah. True False
19. The derivative of ln |f(x)| has the same formula as the derivative of ln f(x), but may have a larger domain. True False
20. If a company's profit is increasing by $3 for each additional item manufactured, and each additional worker manufactures 10 items, then the marginal product is $30 per item. True False