Consider the following statement: If a function is differentiable then it is continuous. Which of the following is a negation for the statement? (select the correct answer) There is a function that is not differentiable and it is not continuous. If a function is differentiable then it is not continuous. There is a function that is continuous and it is not differentiable. If a function is not continuous then it is differentiable. There is a function that is differentiable and it is not continuous.
Consider the following statement: If a function is differentiable then it is continuous. Which of the following is a negation for the statement? (select the correct answer) There is a function that is not differentiable and it is not continuous. If a function is differentiable then it is not continuous. There is a function that is continuous and it is not differentiable. If a function is not continuous then it is differentiable. There is a function that is differentiable and it is not continuous.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter5: Graphs And The Derivative
Section5.3: Higher Derivatives, Concavity, And The Second Derivative Test
Problem 77E
Related questions
Question
![Consider the following statement:
If a function is differentiable then it is continuous.
Which of the following is a negation for the statement?
(select the correct answer)
There is a function that is not differentiable and it is not continuous.
If a function is differentiable then it is not continuous.
There is a function that is continuous and it is not differentiable.
If a function is not continuous then it is differentiable.
There is a function that is differentiable and it is not continuous.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb898cad9-5347-4e0a-a74d-32f84bfad0f6%2F9fdb11f9-32f6-4f52-8174-594394a151e8%2Fqpyqul_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the following statement:
If a function is differentiable then it is continuous.
Which of the following is a negation for the statement?
(select the correct answer)
There is a function that is not differentiable and it is not continuous.
If a function is differentiable then it is not continuous.
There is a function that is continuous and it is not differentiable.
If a function is not continuous then it is differentiable.
There is a function that is differentiable and it is not continuous.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 4 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Calculus For The Life Sciences](https://www.bartleby.com/isbn_cover_images/9780321964038/9780321964038_smallCoverImage.gif)
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
![Big Ideas Math A Bridge To Success Algebra 1: Stu…](https://www.bartleby.com/isbn_cover_images/9781680331141/9781680331141_smallCoverImage.jpg)
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
![Calculus For The Life Sciences](https://www.bartleby.com/isbn_cover_images/9780321964038/9780321964038_smallCoverImage.gif)
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
![Big Ideas Math A Bridge To Success Algebra 1: Stu…](https://www.bartleby.com/isbn_cover_images/9781680331141/9781680331141_smallCoverImage.jpg)
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781305115545/9781305115545_smallCoverImage.gif)
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning