hitung turunan pertama dari y =(3x+1)/(x-2)

Kelas 11 Matematika
Bab Turunan

u = 3x + 1
u' = 3

v = x - 2
v' = 1

y = u/v
y = (u' v - u v')/v²

y = (3x + 1)/(x - 2)
y' = (3 . (x - 2) - (3x + 1) . 1)/(x - 2)²
y' = (3x - 6 - 3x - 1)/(x² - 4x + 4)
y' = -7/(x² - 4x + 4)