Question-14 f(x)=\frac{x}{\log x}, increases in the interval
A)
(0, \infty)B)
(0, e)C)
(e, \infty)D) None
Answer: C)
Explanation
We have,
f(x)=\frac{x}{\log x} \Rightarrow f^{\prime}(x)=\frac{\log x-1}{(\log x)^{2}}>0 \Rightarrow \log x-1>0 \Rightarrow x>e \Rightarrow x \in(e, \infty)