3. Consider the function f(x) = -{2 if x = Q -r³ if x # Q. Prove that f'(0) = 0. Hint: Apply the conclusion in one of the problems in Problem Set 2.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 3CC: If xis large, which function grows faster, f(x)=2x or g(x)=x2?
icon
Related questions
Question

Don't use L-Hospital for solution.

3. Consider the function
if x = Q
f(x) =
&
-r³ if x # Q.
Prove that f'(0) = 0.
Hint: Apply the conclusion in one of the problems in Problem Set 2.
Transcribed Image Text:3. Consider the function if x = Q f(x) = & -r³ if x # Q. Prove that f'(0) = 0. Hint: Apply the conclusion in one of the problems in Problem Set 2.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning