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JEE · Calculus for JEE · Advanced

Calculus for JEE: Find the maximum value of math for math.

Standard integrals, optimization.

Try the problem

Find the maximum value of

\dfrac{\ln x}{x}

for

x>0

.

Hint and answer

Concept to use

Definite integral properties.

Hint

Differentiate; the maximum occurs at

x=e

.

Answer

1/e

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Jensen for math on math: math?

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