tentukan turunan fungsi f(x)=3x-4/4x-1

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

Diketahui:
u = 3x-4
u' = 3
v = 4x-1
v' = 4

Maka:
f(x)=3x-4 / 4x-1
f'(x) = 3(4x-1)-(3x-4)4 / (4x-1)²
f'(x) = 12x-3-12x+16 / (4x-1)²
f'(x) = 13 / (4x-1)²
f'(x) = 13 / (16x² - 8x + 1)

jadi jawabannya 13/16x^-8x+1