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the minimum value of frac x log x is
Question:
The minimum value of \( \frac{x}{\log x} \) is?
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To find the minimum of a function, differentiate it and set the derivative equal to zero to find the critical points.
VITEEE - 2014
VITEEE
Updated On:
Jan 12, 2026
\( e \)
\( e^2 \)
\( e^3 \)
None of these
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The Correct Option is
A
Solution and Explanation
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 \( x = e \).
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