Complete parts a through c for the given function. f(x) = 4x° - 5x - 40x° + 5 on [-3,4] a. Locate 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) at x =| (Use a comma to separate answers as needed. Type an integer or a simplified fraction.) B. The function does not have a critical value. b. Use the First Derivative Test to locate the local maximum/maxima and minimum/minima values. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The local maximum/maxima is/are at x= | and the local minimum/minima is/are at x = (Use a comma to separate answers as needed. Type an integer or a simplified fraction.) B. The local maximum/maxima is/are at x = (Use a comma to separate answers as needed. Type an integer or a simplified fraction.) O C. The local minimum/minima is/are at x = (Use a comma to separate answers as needed. Type an integer or a simplified fraction.) Thore is no lo cel minimum ond thore is pe locel meximum

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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Complete parts a through c for the given function.
f(x) = 4x° - 5x* - 40x° + 5 on [- 3,4]
a. Locate 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) at x =|
(Use a comma to separate answers as needed. Type an integer or a simplified fraction.)
B. The function does not have a critical value.
b. Use the First Derivative Test to locate the local maximum/maxima and minimum/minima values. Select the correct choice
below and, if necessary, fill in the answer box to complete your choice.
A. The local maximum/maxima is/are at x=
and the local minimum/minima is/are at x =
(Use a comma to separate answers as needed. Type an integer or a simplified fraction.)
B. The local maximum/maxima is/are at x =
(Use a comma to separate answers as needed. Type an integer or a simplified fraction.)
O C. The local minimum/minima is/are at x =
(Use a comma to separate answers as needed. Type an integer or a simplified fraction.)
O D. There is no local minimum and there is no local maximum.
Transcribed Image Text:Complete parts a through c for the given function. f(x) = 4x° - 5x* - 40x° + 5 on [- 3,4] a. Locate 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) at x =| (Use a comma to separate answers as needed. Type an integer or a simplified fraction.) B. The function does not have a critical value. b. Use the First Derivative Test to locate the local maximum/maxima and minimum/minima values. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The local maximum/maxima is/are at x= and the local minimum/minima is/are at x = (Use a comma to separate answers as needed. Type an integer or a simplified fraction.) B. The local maximum/maxima is/are at x = (Use a comma to separate answers as needed. Type an integer or a simplified fraction.) O C. The local minimum/minima is/are at x = (Use a comma to separate answers as needed. Type an integer or a simplified fraction.) O D. There is no local minimum and there is no local maximum.
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