Question

Turunan dari sin pangkat 3 2x

Answer 1

Y = sin³ 2x
misal u = sin 2x, du  = 2 cos 2x dx
du/dx = 2 cos 2x
y = u³
dy = 3u² du
dy/du = 3u²

dy/dx = dy/du. du/dx
dy/dx = 3u². 2 cos 2x
dy/dx = 3(sin 2x)² 2 cos 2x = 6 sin² 2x cos 2x