turunan pertama dari f(x)=x-1/x...

Misalkan:
u = x - 1
u' = 1
v = x
v' = 1

Jawab:
f'(x) = (u'.v - u.v')/v²
f'(x) = (1.x - (x - 1)(1)/x²
f'(x) = (x - x + 1)/x²
f'(x) = 1/x²