A) \[(0,\,\,\infty )\]
B) \[(0,\,\,e)\]
C) \[(e,\,\,\infty )\]
D) None of these
Correct Answer: C
Solution :
Clearly, \[f(x)\] is denned for\[x>0\] Now, \[f(x)=\frac{x}{\log x}\Rightarrow f'(x)=\frac{\log x-1}{{{(\log x)}^{2}}}\] For \[f(x)\] to be increasing\[f'(x)>0\] \[\Rightarrow \] \[\log x-1>0\Rightarrow \log x>1\] \[\Rightarrow \] \[x>e\Rightarrow x\in (e,\,\,\infty )\]
You need to login to perform this action.
You will be redirected in
3 sec
