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JEE Math Practice Question

If f(x) = sin-1 $$\left( {{{2 \times {3^x}} \over {1 + {9^x}}}} \right),$$ then f'$$\left( { - {1 \over 2}} \right)$$ equals :

  1. A.$$ - \sqrt 3 {\log _e}\sqrt 3 $$
  2. B.$$ \sqrt 3 {\log _e}\sqrt 3 $$
  3. C.$$ - \sqrt 3 {\log _e}\, 3 $$
  4. D.$$ \sqrt 3 {\log _e}\, 3 $$

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