🛠️ JEE➗ Maths

If \( c \) is a point at which Rolles theorem holds for the function \( f(x)=\log _{e}\left(\frac{x^{2}+\alpha}{7 x}\rig…

Q1

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

[JEE Main 2020, 8 Jan (Shift 1)]

a

\( \frac{\sqrt{3}}{7} \)

b

\( -\frac{1}{24} \)

c

\( -\frac{1}{12} \)

d

\( \frac{1}{12} \)

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