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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![Use l'Hôpital's Rule to evaluate the limit.
COS X
lim
O A.
- V3
3
O B.
21
C.
2.
D.
2
1/2-](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1937f9aa-6ac0-4ce0-b14a-0a0c715ca2b6%2F2a1d8bed-8372-493d-a545-082252b92e84%2Frz17abm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Use l'Hôpital's Rule to evaluate the limit.
COS X
lim
O A.
- V3
3
O B.
21
C.
2.
D.
2
1/2-
![Perform a first derivative test on the function f(x) = 5x -x+3: [-4,4].
a. Locate the critical points of the given function.
b. Use the first derivative test to locate the local maximum and minimunm values.
c. Identify the absolute maximum and minimum values of the function on the given interval (when they exist).
a. Locate the critical points of the given function. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The critical point(s) is/are at x =
(Simplify your answer. Use a comma to separate answers as needed.)
O B. The function does not have a critical point.
b. Locate the minimum value. Select the correct choice below and, if necessary, fill in the answer box within your choice.
O A. There is a local minimum at x =
(Simplify your answer.)
O B. There is no local minimum.
Locate the maximum value. Select the correct choice below and, if necessary, fill in the answer box within your choice.
O A. There is a local maximum at x=
(Simplify your answer.)
O B. There is no local maximum.
c. Identify the absolute minimum value of the function. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
O A. The absolute minimum value is
(Simplify your answer.)
O B. There is no absolute minimum.
Identify the absolute maximum value of the function. Select the correct choice below and, if necessary, fill in the answer box within your choice.
O A. The absolute maximum value is
(Simplify your answer.)
O B. There is no absolute maximum.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1937f9aa-6ac0-4ce0-b14a-0a0c715ca2b6%2F2a1d8bed-8372-493d-a545-082252b92e84%2Fii5duda_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Perform a first derivative test on the function f(x) = 5x -x+3: [-4,4].
a. Locate the critical points of the given function.
b. Use the first derivative test to locate the local maximum and minimunm values.
c. Identify the absolute maximum and minimum values of the function on the given interval (when they exist).
a. Locate the critical points of the given function. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The critical point(s) is/are at x =
(Simplify your answer. Use a comma to separate answers as needed.)
O B. The function does not have a critical point.
b. Locate the minimum value. Select the correct choice below and, if necessary, fill in the answer box within your choice.
O A. There is a local minimum at x =
(Simplify your answer.)
O B. There is no local minimum.
Locate the maximum value. Select the correct choice below and, if necessary, fill in the answer box within your choice.
O A. There is a local maximum at x=
(Simplify your answer.)
O B. There is no local maximum.
c. Identify the absolute minimum value of the function. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
O A. The absolute minimum value is
(Simplify your answer.)
O B. There is no absolute minimum.
Identify the absolute maximum value of the function. Select the correct choice below and, if necessary, fill in the answer box within your choice.
O A. The absolute maximum value is
(Simplify your answer.)
O B. There is no absolute maximum.
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