Turunan dari (x+1/x-1)^7 adalah?

f (x) = (x +1 / x - 1)^7
misal (x + 1 / x - 1) = y
f (x) = y^7
f' (x) = 7.y^6 .y'
y = u v
y' = (u'.v - u.v')/v^2
y' = { 1 (x -1) - (x +1).1 } / (x-1)^2
y' = (x -1 - x -1)/(x-1)^2
y' = - 2/(x-1)^2
maka f' (x) = 7(x +1 / x - 1)^6.(-2/(x-1)^2
f' (x) = -14(x+1/x-1)^6/(x-1)^2
f' (x) = -14(x+1/x-1)^6/(x-1)^2