JEE MAIN - Mathematics Hindi (2018 - 15th April Evening Slot - No. 20)
यदि $$f(x)=\sin ^{-1}\left(\frac{2 \times 3^{x}}{1+9^{x}}\right)$$ है, तो $$f^{\prime}\left(-\frac{1}{2}\right)$$ बराबर है :
$$-\sqrt{3} \log _{\mathrm{e}} \sqrt{3}$$
$$\sqrt{3} \log _{e} \sqrt{3}$$
$$-\sqrt{3} \log _{e} 3$$
$$\sqrt{3} \log _{\mathrm{e}} 3$$
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