Local maximum value of the function $\frac{{\log \,x}}{x}$ is

JEE MATHEMATICS MCQ: MAXIMA & MINIMA

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Analyzing +4 | -1

Local maximum value of the function

\frac{{\log \,x}}{x}

View answer and explanation

Correct option: C

\frac{1}{e}

Option C is correct because the local maximum value is found by taking the derivative, setting it to zero, and then evaluating the function at that point.

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f\left( x \right)

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f\left( x \right) = {\tan ^{ - 1}}x - \frac{1}{2}{\log _e}x

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\left[ {1/\sqrt 3 ,\;\sqrt 3 } \right]

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\frac{k}{e}

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