diferensial sin^3 . 5x

Diferensial

d(sin³ 5x)/dx
= d(sin³ 5x)/dsin 5x . d(sin 5x)/d5x . d5x/dx
= 3 sin² 5x . cos 5x . 5
= 15 sn² 5x . cos 5x

(bs dlm bentuk lain, disesuaikan dg opsi yg ada)

jawab

y = sin³ (5x)
u= 5x
du/dx= 5

t = sin u
dt/du = cos u

y = t³
dy/dt = 3 t²

dy/dx = dy/dt. dt/du. du/dx
dy/dx = (3 t²) . (cos u) (5)

dy/dx = (3sin² (5x)) . (cos (5x) (5)
dy/dx = 15 sin² (5x) cos (5x)