Does the graph of the function below have any horizontal tangents in the interval 0 sxS 2x? If so, where? If not, why not? Visualize your findings by graphing the function with a grapher. y = 7x +4 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 at x = (Type your answer in radians. Type an exact answer in terms of r. Use a comma to separate answers as needed.) O B. The function has no horizontal tangents in the interval 0sxs2n because its derivative is never zero in the interval 0 SxS2n. O C. The function has no horizontal tangents in the interval 0sxs2r because it is never zero in the interval Osxs2n. O D. The function has no horizontal tangents in the interval 0sxs2n because it is defined at every point in the interval 0sxs 2n.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Trigonometry
Section1.6: Graphs Of Other Trigonometric Functions
Problem 85E
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Does the graph of the function below have any horizontal tangents in the interval 0sxs2x? If so, where? If not, why not? Visualize your findings by graphing the function with a grapher.
y = 7x +4 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 at x =
(Type your answer in radians. Type an exact answer in terms of t. Use a comma to separate answers as needed.)
O B. The function has no horizontal tangents in the interval 0sxs2n because its derivative is never zero in the interval 0 sxs 2r.
O C. The function has no horizontal tangents in the interval 0sxs2n because it is never zero in the interval 0sxs2n.
O D. The function has no horizontal tangents in the interval 0sxs2n because it is defined at every point in the interval 0sxs 2n.
Transcribed Image Text:Does the graph of the function below have any horizontal tangents in the interval 0sxs2x? If so, where? If not, why not? Visualize your findings by graphing the function with a grapher. y = 7x +4 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 at x = (Type your answer in radians. Type an exact answer in terms of t. Use a comma to separate answers as needed.) O B. The function has no horizontal tangents in the interval 0sxs2n because its derivative is never zero in the interval 0 sxs 2r. O C. The function has no horizontal tangents in the interval 0sxs2n because it is never zero in the interval 0sxs2n. O D. The function has no horizontal tangents in the interval 0sxs2n because it is defined at every point in the interval 0sxs 2n.
Expert Solution
Concept

Slope, m = dy/dx

For horizontal tangent,

Slope of tangent = 0

So, put dy/dx = 0 and find possible value of x at which slope is horizontal. If there is no value of x possible then there is no horizontal tangent.

 

 

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