soal turunan y= X - 5 / 4x + 2

Ingat rumus:
f(x) = u/v
f'(x) = (u'.v - u.v')/v²

Diketahui:
u = x - 5
u' = 1
v = 4x + 2
v' = 4

Ditanya:
y' = ????

Jawab:
y = (x - 5)/(4x + 2)
y' = ((1)(4x + 2)-(x - 5)(4))/(4x + 2)²
y' = (4x + 2 - 4x + 20)/(4x + 2)(4x + 2)
y' = 22/(16x² + 8x + 8x + 4)
y' = 22/(16x² + 16x + 4)