Tentukan turunan dari F (x)= sin²(2x+5)

jawab


y = sin^2 (2x + 5)

u = 2x+ 5
du/dx = 2

t = sin u
dt/du = cos u

y = t^2
dy/dt = 2 t

y' = dy/dx

dy/dx = dy/dt. dt/du, du/dx
y' = 2t . cos u. 2
y' = 2(sin u). cos (2x+5). 2
y' = 2 .2  sin (2x+5). cos (2x+5)
y'  = 2 sin 2(2x+5) = 2 sin(4x +10)