tentukan turunan pertama y jika diketahui y = x pangkat 3 sin 5x , y = ( sin ( x pangkat 2 + 3x)) kuadrat , y = ( x- sin x) cos x. saolnya ada 3...tolong bantu

Turunan
1. y = x³. sin 5x
misal y = u v  --> y'= u' v + u v'

u = x³ --> u' = 3x²
v = sin 5x --> v' =  5 cos 5x

y' = 3x² . sin 5x + 5x³ cos 5x

2. y=  {sin (x² + 3x)²
dalil rantai
u = x² + 3x  --> du/dx = 2x + 3
v = sin u --> dv/du = cos u
y = v² --> dy/dv  = 2v

y' = dy/dv. dv/du.  du/dx
y' = 2v . cos u. (2x + 3)
y' = 2.sin u. cos u . (2x+3)
y' = (2x+3) sin 2u
y' = (2x+3) sin 2(x² +3x)
y' = (2x+3) sin (2x² + 6x)

3. y = (x- sin x). cos x
u = x - sin x --> u' = 1 - cos x
v = cos x --> v' = - sin x
y = uv --> y' = u'v +uv'
y' = (1-cos x)(cos x) + (x-sin x)(-sin x)
y' = cos x - cos² x + sin² x - x sin x
y' = cos x - x sin x - (cos² x - sin² x)
y' = cos  x - x sin x - cos 2x