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.
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?
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd3377bc7-6ef1-40f4-abe7-323568a857f3%2F9d8e4c74-95c9-487d-975a-faece394f6c7%2Frfcsfyd_processed.jpeg&w=3840&q=75)
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.
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