tentukan turunan dari fungsi tersebut

Bab Differensial
Matematika SMA Kelas XI

f(x) = u/v
f' = (u' v - u v')/v²

f(x) = (10x - 9)/(x² + 1)
f'(x) = (10 . (x² + 1) - (10x - 9) . 2x)/(x² + 1)²
f'(x) = (10x² + 10 - 20x² + 18x)/(x^4 + 2x² + 1)
f'(x) = (-10x² + 18x + 10)/(x^4 + 2x² + 1)