Locate the critical points of the function f(x) = x + 2x + 6x - 4 and use the second derivative test to determine whether they correspond to local minima, local maxima, or neither.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Locate the critical points of the function f(x) =x° + 2x + 6x -4 and use the second derivative test to determine whether they correspond to local minima, local maxima, or neither.
Select the correct choice below and, if necessary, fill in the answer box(es) within your choice.
O A. The critical point(s) x =
correspond to local minima and the critical point(s) x =
correspond to local maxima. (The test may be inconclusive at some critical points.)
(Simplify your answers. Use a comma to separate answers as needed.)
O B. The critical point(s) x =
correspond to local minima. There are no local maxima or the test is inconclusive.
(Simplify your answer. Use a comma to separate answers as needed.)
O C. The critical point(s) x = correspond to local maxima. There are no local minima or the test is inconclusive.
(Simplify your answer. Use a comma to separate answers as needed.)
O D. The critical points are located at x=
There are no local minima nor maxima or the test is inconclusive.
(Simplify your answer. Use a comma to separate answers as needed.)
O E. There are no critical points.
Transcribed Image Text:Locate the critical points of the function f(x) =x° + 2x + 6x -4 and use the second derivative test to determine whether they correspond to local minima, local maxima, or neither. Select the correct choice below and, if necessary, fill in the answer box(es) within your choice. O A. The critical point(s) x = correspond to local minima and the critical point(s) x = correspond to local maxima. (The test may be inconclusive at some critical points.) (Simplify your answers. Use a comma to separate answers as needed.) O B. The critical point(s) x = correspond to local minima. There are no local maxima or the test is inconclusive. (Simplify your answer. Use a comma to separate answers as needed.) O C. The critical point(s) x = correspond to local maxima. There are no local minima or the test is inconclusive. (Simplify your answer. Use a comma to separate answers as needed.) O D. The critical points are located at x= There are no local minima nor maxima or the test is inconclusive. (Simplify your answer. Use a comma to separate answers as needed.) O E. There are no critical points.
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