Nếu \(\int {f\left( x \right)dx} = \dfrac{1}{x} + \ln \left| x \right| + C\) thì \(f\left( x \right)\) là:
A.\(f\left( x \right) = - \dfrac{1}{{{x^2}}} + \ln \left| x \right|\).
B.\(f\left( x \right) = \sqrt x + \ln \left| x \right|\).
C.\(f\left( x \right) = - \sqrt x + \dfrac{1}{x}\)
D.\(f\left( x \right) = \dfrac{1}{x} - \dfrac{1}{{{x^2}}}\).