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The function \(f(x)=|x-2|+|x|+|x+2|\) is not differentiable at which points?

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A modulus function \(|x-a|\) is not differentiable at \(x=a\). For a sum of modulus functions, check all such turning points.

Updated On: Jun 6, 2026

\(x=-2\)
\(x=0\)
\(x=2\)
\(x=-2,0,2\)

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The Correct Option is D

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