Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

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

Options:

R − {0}

R − {1}

R − {−1}

R − {−1, 1}

Correct Answer:

R − {−1, 1}

Explanation:

Clearly f(x) is not differentiable at x = ±1

∴ Domain of derivative is R − {−1, 1}.