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) = 3x3 + 18x? + 13 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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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) = 3x° + 18x? + 13
...
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.)
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 islare at x =
(Use a comma to separate answers as needed. Type an integer or a simplified fraction.)
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) = 3x° + 18x? + 13 ... 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.) 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 islare at x = (Use a comma to separate answers as needed. Type an integer or a simplified fraction.) B. There is no local maximum of f.
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