Question: If $f(x)=\sin ^{-1}\left(\frac{2 \times 3^{x}}{1+9^{x}}\right)$, then $f^{\prime}\left(-\frac{1}{2}\right)$ equals :
$\sqrt{3} \log _{e} \sqrt{3}$
$-\sqrt{3} \log _{e} 3$
$-\sqrt{3} \log _{e} \sqrt{3}$
$\sqrt{3} \log _{\mathrm{c}} 3$
Correct Option: 1
Solution:
Solution not required
