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JEE Math Practice Question

Suppose $$f(x)=\frac{\left(2^x+2^{-x}\right) \tan x \sqrt{\tan ^{-1}\left(x^2-x+1\right)}}{\left(7 x^2+3 x+1\right)^3}$$. Then the value of $$f^{\prime}(0)$$ is equal to

  1. A.$$\pi$$
  2. B.$$\sqrt{\pi}$$
  3. C.0
  4. D.$$\frac{\pi}{2}$$

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