Tentukan f¹(x) dari 3x²+1/x-1

u = 3x²+1
u' = 6x
v = x-1
v' = 1

f'(x) = (uv' - u'v)/v²
= (1(3x²+1) - 6x(x-1))/(x-1)²
= (3x² + 1 - 6x² + 6x)/(x²-2x+1)
= (-3x²+6x+1)/(x²-2x+1)