JEE MATHEMATICS MCQ: FUNCTIONS

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Analyzing +4 | -1

The domain of the derivative of the function

f(x)= \begin{cases}\operatorname{Tan}^{-1} x & \text { if }|x| \leq 1 \\ \frac{1}{2}(|x|-1) & \text { if }|x|>1\end{cases}

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Correct option: D

\mathbb{R}-\{-1,1\}

Option D (\mathbb{R}-\{-1,1\}) is correct because the function is not differentiable at x = -1 and x = 1.

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