question_answer

The solution set of \[f'(x)>g'(x),\] where \[f(x)=\left( \frac{1}{2} \right){{5}^{2x+1}}\] and \[g(x)={{5}^{x}}+4x\,\,\log 5,\] is _______.

A)  \[(1,\infty )\]                 

B)  \[[0,\infty )\]

C)  \[[0,1]\]                        

D)  \[(0,\infty )\]

E)  None of these