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
icon
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.
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
steps

Step by step

Solved in 3 steps with 4 images

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
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…
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 & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning