tolong bantuannya yah.. f(x)=sin^4(3x^2-2) mencari aturan rantai turunan fungsi

jawab

y = sin⁴  (3x² -2)

u = 3x² - 2
du/dx = 6x

t = sin u
dt/du =  cos u

y = t⁴
dy/dt= 4 t³

y' = dy/dx

dy/dx = dy/dt. dt/du.  du/dx
dy/dx = (4 t³) .(cos u)  (6x)
dy/dx =  (4 sin³ u) (cos (3x²-2) . (6x)
dy/dx=  (4 sin³ (3x² -2). (cos (3x² -2)) (6x)


dy/dx =  24 x  sin³ (3x² -2) . cos (3x² -2)