Do Homework - Section 3.6- Profile 1 - Microsoft Edge https://mylab.pearson.com/Student/PlayerHomework.aspx?homeworkld=644835715&questionid=15&flushed=true&cid=7318436¢erwin-yes Consider the function. x² cos f(x) = - {** (3). O a) Is f continuous at x=0? x 0 b) Find f for when x 0. f' = x=0 O A. There is not enough information given. OB. No, it is not continuous since the limit and value of the function are not the same. OC. limx→0 f(x)=0= f(0) so it is continuous. c) Is f differentiable at x=0? O Yes, the function is differentiable at x=0. f(0)=0 O False, no the function is not differentiable at x=0. O X A

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
icon
Related questions
Question
℗ Do Homework - Section 3.6- Profile 1 - Microsoft Edge
https://mylab.pearson.com/Student/PlayerHomework.aspx?homeworkId=644835715&questionId=15&flushed=true&cid=7318436&centerwin=yes
Consider the function.
f(x) =
{ x* cos(3).
0,
a) Is f continuous at x=0?
b) Find f' for when x €0.
f' =
x-0
O A. There is not enough information given.
O B. No, it is not continuous since the limit and value of the function are not the same.
O C. limx→ f(x) = 0 = f(0) so it is continuous.
x=0
c) Is f differentiable at x=0?
54°F
Cloudy
Yes, the function is differentiable at x=0. f'(0)=0
False, no the function is not differentiable at x=0.
d) Is f' continuous at x=0?
Yes, f' is continuous because the limit of the derivative as x approaches zero exists.
No, f' is not continuous because the limit of the derivative as x approaches zero does not exist.
▬▬▬
■
Q Search
U IN
hulu
I
x
A
11:37 PM
4/1/2023
Transcribed Image Text:℗ Do Homework - Section 3.6- Profile 1 - Microsoft Edge https://mylab.pearson.com/Student/PlayerHomework.aspx?homeworkId=644835715&questionId=15&flushed=true&cid=7318436&centerwin=yes Consider the function. f(x) = { x* cos(3). 0, a) Is f continuous at x=0? b) Find f' for when x €0. f' = x-0 O A. There is not enough information given. O B. No, it is not continuous since the limit and value of the function are not the same. O C. limx→ f(x) = 0 = f(0) so it is continuous. x=0 c) Is f differentiable at x=0? 54°F Cloudy Yes, the function is differentiable at x=0. f'(0)=0 False, no the function is not differentiable at x=0. d) Is f' continuous at x=0? Yes, f' is continuous because the limit of the derivative as x approaches zero exists. No, f' is not continuous because the limit of the derivative as x approaches zero does not exist. ▬▬▬ ■ Q Search U IN hulu I x A 11:37 PM 4/1/2023
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning