Tentukan fungsi trigonometri dari y = sin 2x cos ^2 2x

Turunan Fungsi Trigonometri.

y = uv → y' = u'v + uv'

y = sin 2x cos² 2x
y' = 2 cos 2x cos² 2x + sin 2x [2 cos 2x (-2 sin 2x)]
    = 2 cos³ 2x - 4 cos 2x sin² 2x
    = 2 [1/4 (cos 6x + 3 cos 2x)] - 4 cos 2x (4 sin² x cos² x)
    = 1/2 (cos 6x + 3 cos 2x) - 4 cos 2x [4 × 1/2 (1 - cos 2x) × 1/2 (1 + cos 2x)]
    = 1/2 (cos 6x + 3 cos 2x) - 4 cos 2x (1 - cos² 2x)
    = 1/2 (cos 6x + 3 cos 2x) - 4 cos 2x + 4 cos³ 2x
    = 1/2 cos 6x + 3/2 cos 2x - 4 cos 2x + 4 [1/4 (cos 6x + 3 cos 2x)]
    = 1/2 cos 6x + 3/2 cos 2x - 4 cos 2x + cos 6x + 3 cos 2x
    = 3/2 cos 6x + 1/2 cos 2x
    = 1/2 (3 cos 6x + cos 2x)