16. Does the graph of the function below have any horizontal tangent lines in the interval 0 sxs 2n? If so, where? If not, why not? Visualize your findings by graphing the function with a grapher y 4x sin x Select the correct answer below and, if necessary, fill in the answer box to complete your choice. O A. The function has a horizontal tangent line at x (Type your answer in radians. Type an exact answer in terms of . Use a comma to separate answers as needed.) O B. The function has no horizontal tangent lines in the interval 0sxs27t because it is defined at every point in the interval 0sxs 2T. O C. The function has no horizontal tangent lines in the interval 0sxs 2T because it is never zero in the interval 0sxs 2 O D. The function has no horizontal tangent lines in the interval 0sxs27t because its derivative is never zero in the interval 0 sxs 2T Confirm the result visually by graphing y 4x sin x. Choose the correct graph below. O c. O D. O A. Ов. Ay 30- Av 30 10 10- 2t гл г г -10 -30 -30 -10

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 90E
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16. Does the graph of the function below have any horizontal tangent lines in the interval 0 sxs 2n? If so, where? If not, why not? Visualize your findings by graphing the function with a grapher
y 4x sin x
Select the correct answer below and, if necessary, fill in the answer box to complete your choice.
O A. The function has a horizontal tangent line at x
(Type your answer in radians. Type an exact answer in terms of . Use a comma to separate answers as needed.)
O B. The function has no horizontal tangent lines in the interval 0sxs27t because it is defined at every point in the interval 0sxs 2T.
O C. The function has no horizontal tangent lines in the interval 0sxs 2T because it is never zero in the interval 0sxs 2
O D. The function has no horizontal tangent lines in the interval 0sxs27t because its derivative is never zero in the interval 0 sxs 2T
Confirm the result visually by graphing y 4x
sin x. Choose the correct graph below.
O c.
O D.
O A.
Ов.
Ay
30-
Av
30
10
10-
2t
гл
г
г
-10
-30
-30
-10
Transcribed Image Text:16. Does the graph of the function below have any horizontal tangent lines in the interval 0 sxs 2n? If so, where? If not, why not? Visualize your findings by graphing the function with a grapher y 4x sin x Select the correct answer below and, if necessary, fill in the answer box to complete your choice. O A. The function has a horizontal tangent line at x (Type your answer in radians. Type an exact answer in terms of . Use a comma to separate answers as needed.) O B. The function has no horizontal tangent lines in the interval 0sxs27t because it is defined at every point in the interval 0sxs 2T. O C. The function has no horizontal tangent lines in the interval 0sxs 2T because it is never zero in the interval 0sxs 2 O D. The function has no horizontal tangent lines in the interval 0sxs27t because its derivative is never zero in the interval 0 sxs 2T Confirm the result visually by graphing y 4x sin x. Choose the correct graph below. O c. O D. O A. Ов. Ay 30- Av 30 10 10- 2t гл г г -10 -30 -30 -10
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