If $f(x)=x \ln x$, then $f(x)$ attains minimum value at which one of the following points?

• A

  $x=e^{-2}$
• B

  $x=e$
• Correct answer
  C

  $x=e^{-1}$
• D

  $x=2 e^{-1}$

Hence, the correct answer is option: 'C'.