JEE MATHEMATICS MCQ: MEAN VALUES THEOREM

1 Easy

1 of 1

Analyzing +4 | -1

c

is a point at which Rolle’s Theorem holds for the function,

f\left( x \right) = {\log _e}\left( {\frac{{{x^2} + \alpha }}{{7x}}} \right)

in the interval

\left[ {3,\,4} \right]

where

\alpha \, \in \,R,

then

f''(c)

is equal to

View answer and explanation

Correct option: C

\frac{1}{{12}}

Option C (

\frac{1}{{12}}

) is correct because after finding

\alpha

using Rolle's Theorem, we find

c

and then evaluate

f''(c)

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