Calculus: Graphical, Numerical, Algebraic

3rd Edition

ISBN: 9780133688399

Author: Finney, Ross L.

Publisher: Pearson/Prentice Hall

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Question

Chapter 3.2, Problem 5E

(a)

To determine

The domain points of the given function appear to be differentiable.

(a)

Expert Solution

Answer to Problem 5E

The required domain points of the given function appears to be differentiable is [−3,2] .

Explanation of Solution

Given information:

The given function is: y=f(x) .

And, the domain points is D:−3≤x≤3

Calculus: Graphical, Numerical, Algebraic, Chapter 3.2, Problem 5E , additional homework tip 1

The given function is: y=f(x) .and the domain points is D:−3≤x≤3 .

Since, from the figure it is seen that the function y=f(x) is continuous in the given domain D:−3≤x≤3 .

Also, there is no vertical tangent, corners, or cusps.

Thus, the function y=f(x) is differentiable at all points in its domain which is [−3,2]

Hence, the required domain of the function appears to be differentiable is [−3,2] .

(b)

To determine

The domain points of the given function appear to be continuous but not differentiable.

(b)

Expert Solution

Answer to Problem 5E

The required domain of the given function appears to be continuous but not differentiable is none.

Explanation of Solution

Given information:

The given function is: y=f(x) .

And, the domain points is D:−3≤x≤3

Calculus: Graphical, Numerical, Algebraic, Chapter 3.2, Problem 5E , additional homework tip 2

The given function is: y=f(x) .and the domain points is D:−3≤x≤3 .

From the results (a) it is seen that the function y=f(x) is differentiable at all points in its domain. Then it is also continuous on its domain.

Thus, there are no points where it is continuous but not differentiable.

Hence, the required domain of the function whether the function appears to be continuous but not differentiable is none.

(c)

To determine

The domain of the given function appear neither continuous nor differentiable.

(c)

Expert Solution

Answer to Problem 5E

The required domain of the given function is none.

Explanation of Solution

Given information:

The given function is: y=f(x) .

And, the domain points is D:−3≤x≤3

Calculus: Graphical, Numerical, Algebraic, Chapter 3.2, Problem 5E , additional homework tip 3

The given function is: y=f(x) .and the domain points is D:−3≤x≤3 .

From the results (a) the function is shown to be differentiable in its domain at all points. And it is also continuous on its domain.

So, there are no points where the given function appears neither continuous nor differentiable.

Hence, the required domain of the given function appears neither continuous nor differentiable.

Conclusion:

(a) [−3,2] .

(b) none.

(c) none.

Chapter 3.2, Problem 4E

Chapter 3.2, Problem 6E

Chapter 3 Solutions

Calculus: Graphical, Numerical, Algebraic

Ch. 3.1 - Prob. 1QR Ch. 3.1 - Prob. 2QR Ch. 3.1 - Prob. 3QR Ch. 3.1 - Prob. 4QR Ch. 3.1 - Prob. 5QR Ch. 3.1 - Prob. 6QR Ch. 3.1 - Prob. 7QR Ch. 3.1 - Prob. 8QR Ch. 3.1 - Prob. 9QR Ch. 3.1 - Prob. 10QR

Ch. 3.1 - Prob. 1E Ch. 3.1 - Prob. 2E Ch. 3.1 - Prob. 3E Ch. 3.1 - Prob. 4E Ch. 3.1 - Prob. 5E Ch. 3.1 - Prob. 6E Ch. 3.1 - Prob. 7E Ch. 3.1 - Prob. 8E Ch. 3.1 - Prob. 9E Ch. 3.1 - Prob. 10E Ch. 3.1 - Prob. 11E Ch. 3.1 - Prob. 12E Ch. 3.1 - Prob. 13E Ch. 3.1 - Prob. 14E Ch. 3.1 - Prob. 15E Ch. 3.1 - Prob. 16E Ch. 3.1 - Prob. 17E Ch. 3.1 - Prob. 18E Ch. 3.1 - Prob. 19E Ch. 3.1 - Prob. 20E Ch. 3.1 - Prob. 21E Ch. 3.1 - Prob. 22E Ch. 3.1 - Prob. 23E Ch. 3.1 - Prob. 24E Ch. 3.1 - Prob. 25E Ch. 3.1 - Prob. 26E Ch. 3.1 - Prob. 27E Ch. 3.1 - Prob. 28E Ch. 3.1 - Prob. 29E Ch. 3.1 - Prob. 30E Ch. 3.1 - Prob. 31E Ch. 3.1 - Prob. 32E Ch. 3.1 - Prob. 33E Ch. 3.1 - Prob. 34E Ch. 3.1 - Prob. 35E Ch. 3.1 - Prob. 36E Ch. 3.1 - Prob. 37E Ch. 3.1 - Prob. 38E Ch. 3.1 - Prob. 39E Ch. 3.1 - Prob. 40E Ch. 3.1 - Prob. 41E Ch. 3.1 - Prob. 42E Ch. 3.1 - Prob. 43E Ch. 3.1 - Prob. 44E Ch. 3.1 - Prob. 45E Ch. 3.2 - Prob. 1QR Ch. 3.2 - Prob. 2QR Ch. 3.2 - Prob. 3QR Ch. 3.2 - Prob. 4QR Ch. 3.2 - Prob. 5QR Ch. 3.2 - 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Prob. 4RE Ch. 3 - Prob. 5RE Ch. 3 - Prob. 6RE Ch. 3 - Prob. 7RE Ch. 3 - Prob. 8RE Ch. 3 - Prob. 9RE Ch. 3 - Prob. 10RE Ch. 3 - Prob. 11RE Ch. 3 - Prob. 12RE Ch. 3 - Prob. 13RE Ch. 3 - Prob. 14RE Ch. 3 - Prob. 15RE Ch. 3 - Prob. 16RE Ch. 3 - Prob. 17RE Ch. 3 - Prob. 18RE Ch. 3 - Prob. 19RE Ch. 3 - Prob. 20RE Ch. 3 - Prob. 21RE Ch. 3 - Prob. 22RE Ch. 3 - Prob. 23RE Ch. 3 - Prob. 24RE Ch. 3 - Prob. 25RE Ch. 3 - Prob. 26RE Ch. 3 - Prob. 27RE Ch. 3 - Prob. 28RE Ch. 3 - Prob. 29RE Ch. 3 - Prob. 30RE Ch. 3 - Prob. 31RE Ch. 3 - Prob. 32RE Ch. 3 - Prob. 33RE Ch. 3 - Prob. 34RE Ch. 3 - Prob. 35RE Ch. 3 - Prob. 36RE Ch. 3 - Prob. 37RE Ch. 3 - Prob. 38RE Ch. 3 - Prob. 39RE Ch. 3 - Prob. 40RE Ch. 3 - Prob. 41RE Ch. 3 - Prob. 42RE Ch. 3 - Prob. 43RE Ch. 3 - Prob. 44RE Ch. 3 - Prob. 45RE Ch. 3 - Prob. 46RE Ch. 3 - Prob. 47RE Ch. 3 - Prob. 48RE Ch. 3 - Prob. 49RE Ch. 3 - Prob. 50RE Ch. 3 - Prob. 51RE Ch. 3 - Prob. 52RE Ch. 3 - Prob. 53RE Ch. 3 - Prob. 54RE Ch. 3 - Prob. 55RE Ch. 3 - Prob. 56RE Ch. 3 - Prob. 57RE Ch. 3 - Prob. 58RE Ch. 3 - Prob. 59RE Ch. 3 - Prob. 60RE Ch. 3 - Prob. 61RE Ch. 3 - Prob. 62RE Ch. 3 - Prob. 63RE Ch. 3 - Prob. 64RE Ch. 3 - Prob. 65RE Ch. 3 - Prob. 66RE Ch. 3 - Prob. 67RE Ch. 3 - Prob. 68RE Ch. 3 - Prob. 69RE Ch. 3 - Prob. 70RE Ch. 3 - Prob. 71RE Ch. 3 - Prob. 72RE Ch. 3 - Prob. 73RE Ch. 3 - Prob. 74RE Ch. 3 - Prob. 75RE Ch. 3 - Prob. 76RE Ch. 3 - Prob. 77RE Ch. 3 - Prob. 78RE Ch. 3 - Prob. 79RE Ch. 3 - Prob. 80RE Ch. 3 - Prob. 81RE Ch. 3 - Prob. 82RE Ch. 3 - Prob. 83RE

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The domain points of the given function appear to be differentiable .

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The domain points of the given function appear to be differentiable.

Answer to Problem 5E

Explanation of Solution

The domain points of the given function appear to be continuous but not differentiable.

Answer to Problem 5E

Explanation of Solution

The domain of the given function appear neither continuous nor differentiable.

Answer to Problem 5E

Explanation of Solution

Chapter 3 Solutions

Additional Math Textbook Solutions