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+1 vote
3.3k views
in Limit, continuity and differentiability by (54.5k points)

The domain of the derivative of the function

f(x) = {(tan-1x : |x| ≤ 1), (1/2(|x| - 1), : |x| > 1) is

(a) R – {0} 

(b) R – {1} 

(c) R – {–1} 

(d) R –{– 1, 1}

1 Answer

+1 vote
by (50.2k points)
selected by
 
Best answer

Correct option (d) R –{– 1, 1}

Explanation:

Thus, f(x) is discontinuous at x = 1, x = –1

Hence, the domain of f'(x) is R – {–1, 1}.

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