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Differentiation question

2019 · 12 Apr · Shift 2 · Q34
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  5. /2019 · 12 Apr · Shift 2 · Q34

Differentiation question

2019 · 12 Apr · Shift 2 · Q34

JEE MainMathematicsDifferentiationMCQ+4 / −1
The derivative of tan⁡−1(sin⁡x−cos⁡xsin⁡x+cos⁡x){\tan ^{ - 1}}\left( {{{\sin x - \cos x} \over {\sin x + \cos x}}} \right)tan−1(sinx+cosxsinx−cosx​), with respect to x2{x \over 2}2x​, where (x∈(0,π2))\left( {x \in \left( {0,{\pi \over 2}} \right)} \right)(x∈(0,2π​)) is :
  1. A
    1
  2. B
    2
  3. C
    23{2 \over 3}32​
  4. D
    12{1 \over 2}21​
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