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JEE Math Practice Question

The derivative of $${\tan ^{ - 1}}\left( {{{\sin x - \cos x} \over {\sin x + \cos x}}} \right)$$, with respect to $${x \over 2}$$ , where $$\left( {x \in \left( {0,{\pi \over 2}} \right)} \right)$$ is :

  1. A.1
  2. B.2
  3. C.$${2 \over 3}$$
  4. D.$${1 \over 2}$$

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