JEE MATHEMATICS MCQ: MEAN VALUES THEOREM

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Application +4 | -1

The value of

c

in Lagrange’s theorem for the function

f\left( x \right) = {\log _e}\sin x

in the interval

\left[ {\pi /6,5\;\pi /6} \right]

View answer and explanation

Correct option: B

\frac{\pi }{2}

Option B (

\frac{\pi}{2}

) is correct because it satisfies the condition of Lagrange's Mean Value Theorem within the given interval.

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f\left( x \right) = x\left( {x - 1} \right)\left( {x - 2} \right)