Perform a first derivative test on the function f(x) = 2x3 + 3x2 - 72x+4; [-4,7]. a. Locate the critical points of the given function. b. Use the first derivative test to locate the local maximum and minimum values. c. Identify the absolute minimum and maximum 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 within your choice. OA. The critical point(s) are located at x = (Use a comma to separate answers as needed.) OB. There are no critical points. b. Locate the local maximum and minimum values. Select the correct choice below and, if necessary, fill in the answer box(es) within your choice. OA. There are local maximum(s) at x = and local minimum(s) at x = (Use a comma to separate answers as needed.)
Perform a first derivative test on the function f(x) = 2x3 + 3x2 - 72x+4; [-4,7]. a. Locate the critical points of the given function. b. Use the first derivative test to locate the local maximum and minimum values. c. Identify the absolute minimum and maximum 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 within your choice. OA. The critical point(s) are located at x = (Use a comma to separate answers as needed.) OB. There are no critical points. b. Locate the local maximum and minimum values. Select the correct choice below and, if necessary, fill in the answer box(es) within your choice. OA. There are local maximum(s) at x = and local minimum(s) at x = (Use a comma to separate answers as needed.)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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Please answer A-C
Transcribed Image Text:c. Identify the absolute minimum and maximum values of the function. Select the correct choice below and, if necessary, fill in the answer box(es)
within your choice.
OA. The absolute maximum value is
and the absolute minimum value is
as needed.)
(Use a comma to separate answers
OB. The absolute maximum value is
There is no absolute minimum.
as needed.)
(Use a comma to separate answers
OC. The absolute minimum value is
There is no absolute maximum.
![Perform a first derivative test on the function f(x) = 2x3 + 3x² - 72x+4; [-4,7].
a. Locate the critical points of the given function.
b. Use the first derivative test to locate the local maximum and minimum values.
c. Identify the absolute minimum and maximum 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 within your choice.
OA. The critical point(s) are located at x =
(Use a comma to separate answers as needed.)
OB. There are no critical points.
b. Locate the local maximum and minimum values. Select the correct choice below and, if necessary, fill in the answer box(es) within your choice.
OA. There are local maximum(s) at x = and local minimum(s) at x =
(Use a comma to separate answers as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7a3d97f1-9ed9-47e9-ae87-20f039ce4b92%2F4299f09e-ddce-4e38-8445-f502ab1b5aaa%2Ftgqqiic_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Perform a first derivative test on the function f(x) = 2x3 + 3x² - 72x+4; [-4,7].
a. Locate the critical points of the given function.
b. Use the first derivative test to locate the local maximum and minimum values.
c. Identify the absolute minimum and maximum 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 within your choice.
OA. The critical point(s) are located at x =
(Use a comma to separate answers as needed.)
OB. There are no critical points.
b. Locate the local maximum and minimum values. Select the correct choice below and, if necessary, fill in the answer box(es) within your choice.
OA. There are local maximum(s) at x = and local minimum(s) at x =
(Use a comma to separate answers as needed.)
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