Locate the critical points of the following function. Then use the Second Derivative Test to determine whether they correspond to local maxima or local minima, or if the test is inconclusive. f(x) = -x* - 2x - 18x2 + 216x Identify all the critical points that are local minima by the Second Derivative Test. Select the correct choice below and fill in any answer boxes within your choice. VA. -6 O B. There are no critical points that are local minima according to the Second Derivative Test. Identify all the critical points that are local maxima by the Second Derivative Test. Select the correct choice below and fill in any answer boxes within your choice. O A. x= OB. There are no critical points that are local maxima according to the Second Derivative Test. Identify all the critical points for which the Second Derivative Test is inconclusive. Select the correct choice below and fill in any answer boxes within your choice. O A. x= O B. There are no critical points for which the Second Derivative Test is inconclusive.

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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Locate the critical points of the following function. Then use the Second Derivative Test to determine whether they correspond to local maxima or local minima, or if the
test is inconclusive.
f(x) =
x* - 2x3 - 18x? + 216x
Identify all the critical points that are local minima by the Second Derivative Test. Select the correct choice below and fill in any answer boxes within your choice.
Y A. x= -6
O B. There are no critical points that are local minima according to the Second Derivative Test.
Identify all the critical points that are local maxima by the Second Derivative Test. Select the correct choice below and fill in any answer boxes within your choice.
O A. x=
OB. There are no critical points that are local maxima according to the Second Derivative Test.
Identify all the critical points for which the Second Derivative Test is inconclusive. Select the correct choice below and fill in any answer boxes within your choice.
O A. x=
O B. There are no critical points for which the Second Derivative Test is inconclusive.
Transcribed Image Text:Locate the critical points of the following function. Then use the Second Derivative Test to determine whether they correspond to local maxima or local minima, or if the test is inconclusive. f(x) = x* - 2x3 - 18x? + 216x Identify all the critical points that are local minima by the Second Derivative Test. Select the correct choice below and fill in any answer boxes within your choice. Y A. x= -6 O B. There are no critical points that are local minima according to the Second Derivative Test. Identify all the critical points that are local maxima by the Second Derivative Test. Select the correct choice below and fill in any answer boxes within your choice. O A. x= OB. There are no critical points that are local maxima according to the Second Derivative Test. Identify all the critical points for which the Second Derivative Test is inconclusive. Select the correct choice below and fill in any answer boxes within your choice. O A. x= O B. There are no critical points for which the Second Derivative Test is inconclusive.
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