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

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

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

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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