JEE MATHEMATICS MCQ: MEAN VALUES THEOREM

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Analyzing +4 | -1

f\left( x \right) = {x^\alpha }\log x

and

f\left( 0 \right) = 0

, then the value of α for which Rolle’s theorem can be applied in [0, 1], is

View answer and explanation

Correct option: D

\frac{1}{2}

Option D (

\frac{1}{2}

) is correct because it satisfies the conditions for Rolle's theorem to be applicable in the given interval.

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