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JEE Math Practice Question

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

  1. A.$${1 \over {12}}$$
  2. B.$${{\sqrt 3 } \over 7}$$
  3. C.$$-{1 \over {12}}$$
  4. D.$$-{1 \over {24}}$$

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