The domain of derivative of the function $f(x)=\left\{\begin{matrix}\tan^{-1}x&;&if\,|x|≤1\\\frac{1}{2}(|x|-1)&;&if\,|x|>1\end{matrix}\right.$ is
Answer & explanation
Correct answer: option 4
Clearly f(x) is not differentiable at x = ±1
∴ Domain of derivative is R − {−1, 1}.
