Does the graph of the function below have any horizontal tangents in the interval 0≤x≤2r? If so, where? If not, why not? Visualize your findings by graphing the function with a grapher. y = 2x + 4 cos x Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The function has a horizontal tangent at x = (Type your answer in radians. Type an exact answer in terms of . Use comma to separate answers as needed.). OB. The function has no horizontal tangents in the interval 0≤x≤ 2x because it is defined at every point in the interval 0≤x≤ 2. OC. The function has no horizontal tangents in the interval 0≤x≤ 2x because it is never zero in the interval 0≤x≤ 2. OD. The function has no horizontal tangents in the interval 0≤x≤ 2x because its derivative is never zero in the interval 0≤x≤ 2.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 59E
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Does the graph of the function below have any horizontal tangents in the interval 0≤x≤ 2x? If so, where? If not, why not? Visualize your findings by graphing the function with a grapher.
y = 2x + 4 cos x
(...)
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
OA. The function has a horizontal tangent at x =
(Type your answer in radians. Type an exact answer in terms of . Use a comma to separate answers as needed.)
OB. The function has no horizontal tangents in the interval 0≤x≤ 2x because it is defined at every point in the interval 0≤x≤ 2.
OC. The function has no horizontal tangents in the interval 0≤x≤ 2 because it is never zero in the interval 0≤x≤ 2T.
OD. The function has no horizontal tangents in the interval 0≤x≤ 2x because its derivative is never zero in the interval 0≤x≤ 2.
Transcribed Image Text:Does the graph of the function below have any horizontal tangents in the interval 0≤x≤ 2x? If so, where? If not, why not? Visualize your findings by graphing the function with a grapher. y = 2x + 4 cos x (...) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The function has a horizontal tangent at x = (Type your answer in radians. Type an exact answer in terms of . Use a comma to separate answers as needed.) OB. The function has no horizontal tangents in the interval 0≤x≤ 2x because it is defined at every point in the interval 0≤x≤ 2. OC. The function has no horizontal tangents in the interval 0≤x≤ 2 because it is never zero in the interval 0≤x≤ 2T. OD. The function has no horizontal tangents in the interval 0≤x≤ 2x because its derivative is never zero in the interval 0≤x≤ 2.
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