If c is a point at which Rolle's theorem holds for the function, f(x) = log e ((x² + α)/7x) in the interval [3, 4], where a R, then ƒ''(c) is equal to

Limit, Continuity and Differentiability: JEE Main 2020 Mathematics question

JEE Main 2020 · 8 Jan, Morning shift · Q2699

JEE Main 20208 Jan, Morning shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

If c is a point at which Rolle's theorem holds for the function, f(x) =

{\log _e}\left( {{{{x^2} + \alpha } \over {7x}}} \right)

in the interval [3, 4], where a

\in

R, then ƒ''(c) is equal to

JEE Main 2020 · 8 Jan, Morning shift · Q2699

JEE Main 20208 Jan, Morning shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

If c is a point at which Rolle's theorem holds for the function, f(x) =

{\log _e}\left( {{{{x^2} + \alpha } \over {7x}}} \right)

in the interval [3, 4], where a

\in

R, then ƒ''(c) is equal to