The domain of the derivative of the function f(x)= array ll ^ -1 x, & if |x| 1 1 2…
Mathematics · JEE Advanced · NTA Exams — Limit, Continuity and Differentiability
The domain of the derivative of the function
\[f(x)=\left\{\begin{array}{ll} \tan ^{-1} x, & \text { if }|x| \leq 1 \\ \frac{1}{2}(|x|-1), & \text { if }|x|>1 \end{array}\right. \text { is }\]
\[f(x)=\left\{\begin{array}{ll} \tan ^{-1} x, & \text { if }|x| \leq 1 \\ \frac{1}{2}(|x|-1), & \text { if }|x|>1 \end{array}\right. \text { is }\]
- R – {0}
- R – {1}
- R – {–1}
- R – {–1,1}
Answer
(D) R – –1,1
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