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 = 6x + 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 x. Use a comma to separate answers as needed.) OB. The function has no horizontal tangents in the interval 0sxs2n because it is defined at every point in the interval 0sxs2x. Oc. The function has no horizontal tangents in the interval 0sxs2x because it is never zero in the interval 0 sxs2n. OD. The function has no horizontal tangents in the interval 0sxs 2n because its derivative is never zero in the interval 0sxs2x.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter67: Analysis Of Trigonometric Functions
Section: Chapter Questions
Problem 12A
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Does the graph of the function below have any horizontal tangents in the interval 0sxs 2x? If so, where? If not, why not? Visualize your findings by graphing the
function with a grapher.
y = 6x + 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.)
OB. The function has no horizontal tangents in the interval 0sxs2n because it is defined at every point in the interval 0sxs2x.
OC. The function has no horizontal tangents in the interval 0sxs2n because it is never zero in the interval 0 sxs2n.
OD. The function has no horizontal tangents in the interval 0sxs2n because its derivative is never zero in the interval 0sxs 2n.
Transcribed Image Text:Does the graph of the function below have any horizontal tangents in the interval 0sxs 2x? If so, where? If not, why not? Visualize your findings by graphing the function with a grapher. y = 6x + 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.) OB. The function has no horizontal tangents in the interval 0sxs2n because it is defined at every point in the interval 0sxs2x. OC. The function has no horizontal tangents in the interval 0sxs2n because it is never zero in the interval 0 sxs2n. OD. The function has no horizontal tangents in the interval 0sxs2n because its derivative is never zero in the interval 0sxs 2n.
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