**Calculus: Graphical, Numerical, Algebraic, 3rd Edition Answers Ch 3 Derivatives Ex 3.4**

Calculus: Graphical, Numerical, Algebraic Answers

**Chapter 3 Derivatives Exercise 3.4 1E**

**Chapter 3 Derivatives Exercise 3.4 1QR**

**Chapter 3 Derivatives Exercise 3.4 2E**

**Chapter 3 Derivatives Exercise 3.4 2QR**

**Chapter 3 Derivatives Exercise 3.4 3E**

**Chapter 3 Derivatives Exercise 3.4 3QR **

**Chapter 3 Derivatives Exercise 3.4 4E **

**Chapter 3 Derivatives Exercise 3.4 4QR **

**Chapter 3 Derivatives Exercise 3.4 5E **

**Chapter 3 Derivatives Exercise 3.4 5QR **

**Chapter 3 Derivatives Exercise 3.4 6E **

**Chapter 3 Derivatives Exercise 3.4 6QR **

**Chapter 3 Derivatives Exercise 3.4 7E **

**Chapter 3 Derivatives Exercise 3.4 7QR **

**Chapter 3 Derivatives Exercise 3.4 8E **

**Chapter 3 Derivatives Exercise 3.4 8QR **

**Chapter 3 Derivatives Exercise 3.4 9E **

**Chapter 3 Derivatives Exercise 3.4 9QR **

**Chapter 3 Derivatives Exercise 3.4 10E **

**Chapter 3 Derivatives Exercise 3.4 10QR**

**Chapter 3 Derivatives Exercise 3.4 11E**

**Chapter 3 Derivatives Exercise 3.4 12E**

(d) The horse is running the fastest during the last furlong (between 9th and 10th furlong markers). This furlong takes only 11 seconds to run, which is the least amount of time for a furlong.

(e) The horse accelerates the fastest during the first furlong (between markers 0 and 1) because horse starts with zero speed and reaches to a great speed so the rate of change of speed is largest during the first furlong.

**Chapter 3 Derivatives Exercise 3.4 13E**

**Chapter 3 Derivatives Exercise 3.4 14E**

**Chapter 3 Derivatives Exercise 3.4 15E**

**Chapter 3 Derivatives Exercise 3.4 16E**

**Chapter 3 Derivatives Exercise 3.4 17E**

**Chapter 3 Derivatives Exercise 3.4 18E**

**Chapter 3 Derivatives Exercise 3.4 19E**

**Chapter 3 Derivatives Exercise 3.4 20E**

**Chapter 3 Derivatives Exercise 3.4 21E**

**Chapter 3 Derivatives Exercise 3.4 22E**

**Chapter 3 Derivatives Exercise 3.4 23E**

**Chapter 3 Derivatives Exercise 3.4 24E**

**Chapter 3 Derivatives Exercise 3.4 25E**

**Chapter 3 Derivatives Exercise 3.4 26E**

**Chapter 3 Derivatives Exercise 3.4 27E**

**Chapter 3 Derivatives Exercise 3.4 28E**

**Chapter 3 Derivatives Exercise 3.4 29E**

**Chapter 3 Derivatives Exercise 3.4 30E**

**Chapter 3 Derivatives Exercise 3.4 31E**

In the given figure graph C is position, graph A is velocity and graph B is acceleration. Because A is the derivative of C as we see that it is positive, negative and zero where C is increasing, decreasing and has horizontal tangents, respectively. The relationship between B and A is similar.

**Chapter 3 Derivatives Exercise 3.4 32E**

**Chapter 3 Derivatives Exercise 3.4 33E**

**Chapter 3 Derivatives Exercise 3.4 34E**

**Chapter 3 Derivatives Exercise 3.4 35E**

**Chapter 3 Derivatives Exercise 3.4 36E**

**Chapter 3 Derivatives Exercise 3.4 37E**

**Chapter 3 Derivatives Exercise 3.4 38E**

**Chapter 3 Derivatives Exercise 3.4 39E**

**Chapter 3 Derivatives Exercise 3.4 40E**

**Chapter 3 Derivatives Exercise 3.4 41E**

**Chapter 3 Derivatives Exercise 3.4 42E**

**Chapter 3 Derivatives Exercise 3.4 43E**

**Chapter 3 Derivatives Exercise 3.4 44E**

**Chapter 3 Derivatives Exercise 3.4 45E**

**Chapter 3 Derivatives Exercise 3.4 46E**

**Chapter 3 Derivatives Exercise 3.4 47E**

**Chapter 3 Derivatives Exercise 3.4 48E**

**Chapter 3 Derivatives Exercise 3.4 49E**

**Chapter 3 Derivatives Exercise 3.4 50E**