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Problem
Problem
The domain of the derivative of the function
f
(
x
)
=
{
tan
−
1
x
,
∣
x
∣
≤
1
1
2
(
∣
x
∣
−
1
)
,
∣
x
∣
>
1
f(x)=\begin{cases}\tan^{-1}x, & |x| \leq 1 \\ \frac{1}{2}(|x|-1), & |x| > 1\end{cases}
f
(
x
)
=
{
tan
−
1
x
,
2
1
(
∣
x
∣
−
1
)
,
∣
x
∣
≤
1
∣
x
∣
>
1
is (a)
R
−
{
0
}
R-\{0\}
R
−
{
0
}
(b)
R
−
{
1
}
R-\{1\}
R
−
{
1
}
(c)
R
−
{
−
1
}
R-\{-1\}
R
−
{
−
1
}
(d)
R
−
{
−
1
,
1
}
R-\{-1, 1\}
R
−
{
−
1
,
1
}
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