Complete parts a through c for the given function. f(x) = 2x5 – 5xª – 10x³+1 on [ - 2,4] a. Locate the critical point(s) of f. 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 =| (Use a comma to separate answers as needed. Type an integer or a simplified fraction.) O B. The function does not have a critical value. b. Use the First Derivative Test to locate the local maximum/maxima and minimum/minima values. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The local minimum/minima is/are at x = (Use a comma to separate answers as needed. Type an integer or a simplified fraction.) B. The local maximum/maxima is/are at x = (Use a comma to separate answers as needed. Type an integer or a simplified fraction.) OC. The local maximum/maxima is/are at x = and the local minimum/minima is/are at x = (Use a comma to separate answers as needed. Type an integer or a simplified fraction.) O D. There is no local minimum and there is no local maximum.
Complete parts a through c for the given function. f(x) = 2x5 – 5xª – 10x³+1 on [ - 2,4] a. Locate the critical point(s) of f. 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 =| (Use a comma to separate answers as needed. Type an integer or a simplified fraction.) O B. The function does not have a critical value. b. Use the First Derivative Test to locate the local maximum/maxima and minimum/minima values. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The local minimum/minima is/are at x = (Use a comma to separate answers as needed. Type an integer or a simplified fraction.) B. The local maximum/maxima is/are at x = (Use a comma to separate answers as needed. Type an integer or a simplified fraction.) OC. The local maximum/maxima is/are at x = and the local minimum/minima is/are at x = (Use a comma to separate answers as needed. Type an integer or a simplified fraction.) O D. There is no local minimum and there is no local maximum.
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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![Complete parts a through c for the given function.
f(x) = 2x5 – 5x – 10x³ + 1 on [-2,4]
a. Locate the critical point(s) of f. 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 =|
(Use a comma to separate answers as needed. Type an integer or a simplified fraction.)
O B. The function does not have a critical value.
b. Use the First Derivative Test to locate the local maximum/maxima and minimum/minima values. Select the
correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The local minimum/minima is/are at x =
(Use a comma to separate answers as needed. Type an integer or a simplified fraction.)
O B. The local maximum/maxima islare at x =
(Use a comma to separate answers as needed. Type an integer or a simplified fraction.)
O C. The local maximum/maxima islare at x = and the local minimum/minima islare at x =
(Use a comma to separate answers as needed. Type an integer or a simplified fraction.)
а со
O D. There is no local minimum and there is no local maximum.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F777e0514-8160-4940-b57c-96884b4e2915%2F0219d4f9-5ba9-4f29-aefb-a050f44dc742%2F03c6spd_processed.png&w=3840&q=75)
Transcribed Image Text:Complete parts a through c for the given function.
f(x) = 2x5 – 5x – 10x³ + 1 on [-2,4]
a. Locate the critical point(s) of f. 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 =|
(Use a comma to separate answers as needed. Type an integer or a simplified fraction.)
O B. The function does not have a critical value.
b. Use the First Derivative Test to locate the local maximum/maxima and minimum/minima values. Select the
correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The local minimum/minima is/are at x =
(Use a comma to separate answers as needed. Type an integer or a simplified fraction.)
O B. The local maximum/maxima islare at x =
(Use a comma to separate answers as needed. Type an integer or a simplified fraction.)
O C. The local maximum/maxima islare at x = and the local minimum/minima islare at x =
(Use a comma to separate answers as needed. Type an integer or a simplified fraction.)
а со
O D. There is no local minimum and there is no local maximum.
Transcribed Image Text:c. Identify the absolute maximum and minimum values of the function on the given interval (when they exist).
Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
O A. The absolute minimum is
, but there is no absolute maximum.
at x =
(Use a comma to separate answers as needed. Type integers or simplified fractions.)
O B. The absolute maximum is
(Use a comma to separate answers as needed. Type integers or simplified fractions.)
OC. The absolute maximum is
at x =
but there is no absolute minimum.
at x =
and the absolute minimum is
at x =
(Use a comma to separate answers as needed. Type integers or simplified fractions.)
O D. The function has no absolute extrema.
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