**Calculus: Graphical, Numerical, Algebraic, 3rd Edition Answers Ch 3 Derivatives Ex 3.2**

Calculus: Graphical, Numerical, Algebraic Answers

**Chapter 3 Derivatives Exercise 3.2 1E**

**Chapter 3 Derivatives Exercise 3.2 1QR**

**Chapter 3 Derivatives Exercise 3.2 2E**

**Chapter 3 Derivatives Exercise 3.2 2QR**

**Chapter 3 Derivatives Exercise 3.2 3E**

**Chapter 3 Derivatives Exercise 3.2 3QR **

**Chapter 3 Derivatives Exercise 3.2 4E **

For Left-hand derivative, function is y = x

So, left-hand derivative is given by:

**Chapter 3 Derivatives Exercise 3.2 4QR **

**Chapter 3 Derivatives Exercise 3.2 5E **

(a) Differentiable: At all the points in the interval [-3, 2].

Since, there are no any corners, cusps, vertical tangent lines, or point of discontinuity within this domain. The graph of the function is unbroken and smooth, with well defined slopes at each point.

(b) Continuous but not differentiable: None

Since the function is differentiable at all the points in the domain.

(c) Neither continuous nor differentiable: None

Since the function is differentiable at all the points in the domain; it also implies that the function is continuous at all the points in the domain interval.

**Chapter 3 Derivatives Exercise 3.2 5QR **

**Chapter 3 Derivatives Exercise 3.2 6E **

(a) Differentiable: At all the points in the interval [-2,3].

Since, there are no any corners, cusps, vertical tangent lines, or point of discontinuity within this domain. The graph of the function is unbroken and smooth, with well defined slopes at each point.

(b) Continuous but not differentiable: None

Since the function is differentiable at all the points in the domain.

(c) Neither continuous nor differentiable: None

Since the function is differentiable at all the points in the domain; it also implies that the function is continuous at all the points in the domain interval.

**Chapter 3 Derivatives Exercise 3.2 6QR **

**Chapter 3 Derivatives Exercise 3.2 7E **

**Chapter 3 Derivatives Exercise 3.2 7QR **

**Chapter 3 Derivatives Exercise 3.2 8E **

**Chapter 3 Derivatives Exercise 3.2 8QR **

**Chapter 3 Derivatives Exercise 3.2 9E **

**Chapter 3 Derivatives Exercise 3.2 9QR **

**Chapter 3 Derivatives Exercise 3.2 10E **

**Chapter 3 Derivatives Exercise 3.2 10QR**

**Chapter 3 Derivatives Exercise 3.2 11E**

**Chapter 3 Derivatives Exercise 3.2 12E**

**Chapter 3 Derivatives Exercise 3.2 13E**

**Chapter 3 Derivatives Exercise 3.2 14E**

**Chapter 3 Derivatives Exercise 3.2 15E**

Here, one-sided derivative differs from the other.

Therefore this is a problem of corner.

Hence, the problem is a corner.

**Chapter 3 Derivatives Exercise 3.2 16E**

**Chapter 3 Derivatives Exercise 3.2 17E**

**Chapter 3 Derivatives Exercise 3.2 18E**

**Chapter 3 Derivatives Exercise 3.2 19E**

**Chapter 3 Derivatives Exercise 3.2 20E**

**Chapter 3 Derivatives Exercise 3.2 21E**

**Chapter 3 Derivatives Exercise 3.2 22E**

**Chapter 3 Derivatives Exercise 3.2 23E**

**Chapter 3 Derivatives Exercise 3.2 24E**

**Chapter 3 Derivatives Exercise 3.2 25E**

**Chapter 3 Derivatives Exercise 3.2 26E**

**Chapter 3 Derivatives Exercise 3.2 27E**

**Chapter 3 Derivatives Exercise 3.2 28E**

**Chapter 3 Derivatives Exercise 3.2 29E**

**Chapter 3 Derivatives Exercise 3.2 30E**

**Chapter 3 Derivatives Exercise 3.2 31E**

**Chapter 3 Derivatives Exercise 3.2 32E**

**Chapter 3 Derivatives Exercise 3.2 33E**

**Chapter 3 Derivatives Exercise 3.2 34E**

**Chapter 3 Derivatives Exercise 3.2 35E**

**Chapter 3 Derivatives Exercise 3.2 36E**

**Chapter 3 Derivatives Exercise 3.2 37E**

**Chapter 3 Derivatives Exercise 3.2 38E**

**Chapter 3 Derivatives Exercise 3.2 39E**

**Chapter 3 Derivatives Exercise 3.2 40E**

**Chapter 3 Derivatives Exercise 3.2 41E**

**Chapter 3 Derivatives Exercise 3.2 42E**

**Chapter 3 Derivatives Exercise 3.2 43E**

**Chapter 3 Derivatives Exercise 3.2 44E**

**Chapter 3 Derivatives Exercise 3.2 45E**

**Chapter 3 Derivatives Exercise 3.2 46E**

**Chapter 3 Derivatives Exercise 3.2 47E**

**Chapter 3 Derivatives Exercise 3.2 48E**