Question

The minimum value of \( \frac{x}{\log x} \) is?

• A. \( e \)
• B. \( e^2 \)
• C. \( e^3 \)
• D. None of these

Hint:

To find the minimum of a function, differentiate it and set the derivative equal to zero to find the critical points.

Answer 1

The Correct Option is A

The minimum value of the function \( \frac{x}{\log x} \) can be found by differentiating the function and finding the critical point where the derivative is zero. The minimum occurs at \( x = e \).