Find the X-Coordinate(s) of the Point(s) Where the Tangent to the Curve

question 23

Essay

Find the x-coordinate(s) of the point(s) where the tangent to the curve $y = x + 2 \cos x , 0 \leq x \leq 2 \pi$ has zero slope.

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Definitions:

Trapezius

A large triangular muscle in the upper back that extends to the neck and shoulders, playing key roles in moving, rotating, and stabilizing the shoulder blade and upper spine.

Biceps Brachii

A muscle in the upper arm responsible for flexion at the elbow and supination of the forearm.

Sternocleidomastoid

A muscle in the side of the neck that runs from the sternum and clavicle to the mastoid process of the temporal bone.

Trapezius

a large triangular muscle that extends over the back of the neck and shoulders, involved in moving the shoulders and head.