QJEEAdv04Mae12a: JEE Advanced 2004 Mathematics - Class 12 JEEAdv04Mae12a Solution: If and then the value of for which Rolle's theorem can be…

Question

Verified Solution • 2025–26 Session moderate

If

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

and

f\left( 0 \right) = 0,

then the value of

\alpha

for which Rolle's theorem can be applied in

\left[ {0,1} \right]

is

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