Solve this following


If $\mathrm{c}$ is a point at which Rolle's theorem holds for the function, $f(\mathrm{x})=\log _{\mathrm{e}}\left(\frac{\mathrm{x}^{2}+\alpha}{7 \mathrm{x}}\right)$ in the interval $[3,4]$, where $\alpha \in \mathrm{R}$, then $f^{\prime \prime}(\mathrm{c})$ is equal to

  1. $\frac{\sqrt{3}}{7}$

  2. $\frac{1}{12}$

  3. $-\frac{1}{24}$

  4. $-\frac{1}{12}$

Correct Option: , 2


Leave a comment


Click here to get exam-ready with eSaral

For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.

Download Now