The domain of the derivative of the function f(x) = is

Maths Functions, Limits, Continuity and Differentiability Functions Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 13, 2026

The domain of the derivative of the function f(x)

= is

R − − {0}

R − − {1}

R − − { − − 1}

R − − { − − 1, 1}

Text Solution

Verified by Experts

The correct answer is:

The given function is

f(x) =

⇒ ⇒ f(x) =

Clearly L.H.L. at (x = − − 1) =

R.H.L. at (x = − − 1) =

= − − 3 π π /4

∴ ∴ L.H.L. ≠ ≠ R.H.L. at x = − − 1

∴ ∴ f(x) is discontinuous at x = − − 1

Also we can prove in the same way, that f(x) is discontinuous at x = 1

∴ ∴ f’(x) can not be found for x = 1 or domain of f’(x)

= R − − { − − 1, 1}

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