$f(x)=\large\frac{1}{1+\Large\frac{1}{x}};$$g(x)=\large\frac{1}{1+\Large\frac{1}{f(x)}}$$=>g'(2)=$

Question

\[(a)\;\frac{1}{5}\quad (b)\;\frac{1}{25} \quad (c)\;5 \quad (d)\;\frac{1}{16} \]