Mathematics · 2020
JEE Main · 8 January 2020, Shift 1 · Q59
If c is a point at which Rolle's theorem holds for the function, f(x)= log_e ((x^2+α)/(7 x)) in the interval [3, 4], where α ∈ R, then f^′ ′(c) is…
If c is a point at which Rolle's theorem holds for the function, $\displaystyle f(x)=\log _{\mathrm{e}}\left(\frac{x^2+\alpha}{7 x}\right)$ in the interval [$\displaystyle 3$, $\displaystyle 4$], where $\displaystyle \alpha \in \mathbf{R}$, then $\displaystyle f^{\prime \prime}(c)$ is equal to :
Official answer
(2)
$\displaystyle \frac{1}{12}$
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JEE Main 2020 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.