1)

If y= 2x/Inx   then  $\frac{dy}{dx}$    at x=e   is 


A) e

B) $2^{e}\log e$

C) $\log e$

D) 0

Answer:

Option D

Explanation:

$\log y= \frac{x}{\log x}\log 2$

 $\Rightarrow\frac{dy}{dx}]_{x=e}=0$