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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 ,if|x|lt=1), (1/2(|x|-1),if|x|>1):}`

A

(a)`R - {0}`

B

(b)`R - {1}`

C

(c)`R - {-1}`

D

(d)`R - {-1, 1}`

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The correct Answer is:
D
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