A.\(\dfrac{{{2^{x + 1}}\ln 2}}{{{{\left( {{2^x} + 1} \right)}^2}}}\)
B.\(\dfrac{{{2^x}\ln 2}}{{{{\left( {{2^x} + 1} \right)}^2}}}\)
C.\(\dfrac{{{2^{x + 1}}}}{{{{\left( {{2^x} + 1} \right)}^2}}}\)
D.\(\dfrac{{{2^x}}}{{{{\left( {{2^x} + 1} \right)}^2}}}\)