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. 2 f(x) = x³ +9x² 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. OA. The critical point(s) is(are) x = ... (Use a comma to separate answers as needed. Type an integer or a simplified fraction.) OB. There are no critical points for f.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.2: Functions Given By Tables
Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and 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, local minima, or neither.
2
f(x) = x³ +9x²
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.
OA. The critical point(s) is(are) x =
COOK
(Use a comma to separate answers as needed. Type an integer or a
simplified fraction.)
OB. There are no critical points for 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. 2 f(x) = x³ +9x² 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. OA. The critical point(s) is(are) x = COOK (Use a comma to separate answers as needed. Type an integer or a simplified fraction.) OB. There are no critical points for f.
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