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
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...
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https://mylab.pearson.com/Student/PlayerHomework.aspx?homeworkId=644835715&questionId=15&flushed=true&cid=7318436¢erwin=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.
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