Tentukan turunan dari f(x) = X² - 1/x +1

f(x) = x^2 - 1/x + 1
= x^2 - x^-1 + 1
f'(x) = 2x - (-1) x^-2 + 0
= 2x + x^-2

X² - 1 = u
2x = u'
x + 1 = v
1 = v' 

f'(x) = 2x(x + 1) - (x² - 1)1/ x + 1
f'(x) = 2x² + 2x - x² - 1/ x + 1
f'(x) = x² + 2x - 1 / x + 1
f'(x) = (x - 1)(x + 1) / x + 1
f'(x) = x - 1