Locate the critical points of the following function. Then use the Second Derivative Test to determine whether they correspond to local maxima, local minima, or neither. f(x) = - 4 + 3x2 What ielare) tho critical point/s) of fO Soloct the correct c boice bolow and if n ocessary fill in the answer b ox to comploto vour c boice

College Algebra (MindTap Course List)
12th Edition
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Author:R. David Gustafson, Jeff Hughes
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Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
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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, local minima, or neither.
f(x) = - 4 + 3x2
-..
What is(are) 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) x =
(Use a comma to separate answers as needed. Type an integer or a simplified fraction.)
O B. There are no critical points for f.
What is/are the local minimum/minima of f? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The local minimum/minima of f is/are at x =
(Use a comma to separate answers as needed. Type an integer or a simplified fraction.)
O B. There is no local minimum of f.
What is/are the local maximum/maxima of f? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The local maximum/maxima of f is/are at x =
(Use a comma to separate answers as needed. Type an integer or a simplified fraction.)
O B. There is no local maximum of f.
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, local minima, or neither. f(x) = - 4 + 3x2 -.. What is(are) 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) x = (Use a comma to separate answers as needed. Type an integer or a simplified fraction.) O B. There are no critical points for f. What is/are the local minimum/minima of f? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The local minimum/minima of f is/are at x = (Use a comma to separate answers as needed. Type an integer or a simplified fraction.) O B. There is no local minimum of f. What is/are the local maximum/maxima of f? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The local maximum/maxima of f is/are at x = (Use a comma to separate answers as needed. Type an integer or a simplified fraction.) O B. There is no local maximum of f.
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