y=(x-3) (sin x- 2x) tentukan turunan pertamanya

tuRUNan

y = u × v
y' = u'v + uv'

Misal :
u = x - 3 ---> u' = 1
v = sin x - 2x ---> v' = cos x - 2

y = (x - 3)(sin x - 2x)
y' = 1(sin x - 2x) + (x - 3)(cos x - 2)
y' = sin x - 2x + x cos x - 3 cos x - 2x + 6
y' = 6 - 4x + sin x + (x - 3)cos x