The domain of the derivative of the function f(x) = begincases tan-1 x textif |x| le 1 (1/2) ( |x| - 1) textif |x | 1 endcases is

Question

The domain of the derivative of the function f(x) = begincases tan-1 x textif |x| le 1 (1/2) ( |x| - 1) textif |x | > 1 endcases is (A) R ∼ 0  (B) R ∼ 1  (C) R ∼ - 1  (D) R ∼ - 1 , 1

Tardigrade Admin · Accepted Answer

Correct answer is (d) R ∼ - 1 , 1

Q. The domain of the derivative of the function $f (x) = {tan^{- 1} x \frac{1}{2} (∣ x ∣ - 1) if ∣ x ∣ \leq 1 if ∣ x ∣ > 1$ is

$R \sim {0}$

$R \sim {1}$

$R \sim {- 1}$

$R \sim {- 1, 1}$

Correct answer is (d) $R \sim {- 1, 1}$

Q. The domain of the derivative of the function f(x)={tan−1x21​(∣x∣−1)​if ∣x∣≤1if ∣x∣>1​ is

R∼{0}

R∼{1}

R∼{−1}

R∼{−1,1}