Cho hàm số \(f\left( x \right) = \ln \left( {\dfrac{x}{{x + 2}}} \right)\). Tổng \(f'\left( 1 \right) + f'\left( 3 \right) + f'\left( 5 \right) + ... + f'\left( {2021} \right)\) bằng:
A.\(\dfrac{{4035}}{{2021}}\)
B.\(\dfrac{{2021}}{{2022}}\)
C.\(2021\)
D.\(\dfrac{{2022}}{{2023}}\)