turunan pertama f(x) = ln (sin(5x-7))

jawab

f(x)= y
y = ln { sin (5x - 7)}

u = 5x - 7
du/dx = 5

v = sin u
dv/du   = cos u

y = ln v
dy/dv = 1/v

dy/dx = dy/dv. dv/du. du/dx

= 1/v . (cos u)  (5)
= 1/sin u. cos (5x+7). 5
= 5 cos(5x+7)/sin (5x+7)