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AIEEE 2002

JEE Main 2002 Mathematics question on Limits Continuity and Differentiability

The domain of the derivative of the functions f(x)={tan⁡−1x,if ∣x∣≤112(∣x∣−1),if ∣x∣>1f(x) = \begin{cases} \tan^{-1}x, & \text{if } |x| \leq 1 \\ \frac{1}{2}(|x|-1), & \text{if } |x| > 1 \end{cases} is
  1. A.
    R−{0}R - \{0\}
  2. B.
    R−{1}R - \{1\}
  3. C.
    R−{−1}R - \{-1\}
  4. D.
    R−{−1,1}R - \{-1, 1\}
Show answer

Correct option: D

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