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If $\mathrm{f}(\mathrm{x})$ is differentiable everywhere,then which one of the following is correct?
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The correct answer is:
$\mathrm{f}|\mathrm{f}|$ is not differentiable at some points
If $\mathrm{f}(\mathrm{x})$ is differential everywhere then $\mid \mathrm{f}$ | is not differentiable at some point, so, $\mathrm{f}|\mathrm{f}|$ is not differentiable at some point. [Example: $\mathrm{f}(\mathrm{x})=\mathrm{x}$ is differentiable everywhere but $|\mathrm{f}(\mathrm{x})|=|\mathrm{x}|$ is not differentiable at $\mathrm{x}=0]$
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