F(x)= 8x+3/4x-1 , ≠ 1/4 adalah f'(x)
Penjelasan dengan langkah-langkah:
f(x) = 8x + 3 / 4x – 1
misal :
u = 8x + 3 u' = 8
v = 4x – 1 v' = 4
f'(x) = (u'.v – u.v') / v²
= (8(4x – 1) – (8x + 3).4) / (4x – 1)²
= [ 32x -8 – (32x + 12) ] / (4x – 1)²
= -20 / (4x – 1)²
= -20 / (16x² – 8x + 1)