jika f(x) = 8x^2 / (4-x)^2 maka nilai f'(2) / f(2) =...

f(x) = (8x^2) / (4 - x)^2 => f(2) = (8.2^2) / (4 - 2)^2 = 8(4) / 2^2 = 8
f(x) = u/v
u = 8x^2 => u' = 16x
v = (4 - x)^2 => v' = 2(4 - x) . -1 = 2x - 8
f'(x) = (u' v - v' u) / v^2
= (16x (4 - x)^2 - (2x - 8)(8x^2)) / (4 - x)^4
f'(2) = (16(2) (4 - 2)^2 - (2(2) - 8) (8 (2)^2)) / (4 - 2)^4
= (32 (4) - (-4) (32)) / 2^4
= (128 + 128) / 16
= 256/16
= 16

f'(2) / f(2) = 16 /8 = 2