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) = - 2x-6x2 +9 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 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. 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.
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) = - 2x-6x2 +9 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 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. 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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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) = - 2x - 6x2 +9
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
integer or a simplified fraction.)
O B. There are no critical points for 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.
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.
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