Question:medium

The set of all values of x for which $f(x) = ||x|-1|$ is differentiable is

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To find the points where a function with nested absolute values like $f(x) = |g(|h(x)|)|$ is not differentiable, you must check all points where the arguments of any of the absolute value functions become zero. In this case, check where $h(x)=0$ and where $g(|h(x)|)=0$.

Updated On: Mar 30, 2026

$\{-1,1\}$
$\mathbb{R} - \{-1,1,0\}$
$\mathbb{R}$
$(0, \infty)$

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The Correct Option is B

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