Tentukan turunan dari Y = sin (-5x²+2x)

jawab

y = sin (-5x² + 2x)
u = -5x² + 2x
du/dx = -10 x + 2

y = sin u
dy/du =  cos u

y' = dy/dx
dy/dx = dy/du. du/dx

y' =  (cos u) (-10x +2)
y' =(-10x + 2)  cos (-5x² + 2x)

Diferensial

y = sin (-5x² + 2x)

dy/dx
= dsin (-5x² + 2x) /d(-5x² + 2x) . d(-5x² + 2x) /dx
= cos (-5x² + 2x) × (-10x + 2)
= (-10x + 2) cos (-5x² + 2x)