The domain of the derivative of the function \[f(x)=\left\{ \begin{ali – McqOptions

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1.	The domain of the derivative of the function \[f(x)=\left\{ \begin{align} & {{\tan }^{-1}}x\ \ \ \ \ ,\ \|x\|\ \le 1 \\ & \frac{1}{2}(\|x\|\ -1)\ ,\ \|x\|\ >1 \\ \end{align} \right.\] is [IIT Screening 2002]
A.	\[R-\{0\}\]
B.	\[R-\{1\}\]
C.	\[R-\{-1\}\]
D.	\[R-\{-1,\ 1\}\]
Answer» D. \[R-\{-1,\ 1\}\]

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