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The domain of the derivative of the func...

The domain of the derivative of the function: `f(x)={{:(,tan^(-1)x,|x| le1),(,(1)/(2)(|x|-1),|x|gt1):}`

A

`R-{0}`

B

`R-{1}`

C

`R-{-1}`

D

`R-{-1,1}`.

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The correct Answer is:
D
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