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  4. Number of points where f(x)= max 2-|x|, min x2-1 is not differentiable is

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Q. Number of points where $f(x)=\max \left\{2-|x|, \min \left\{x^{2}-1\right\}\right\}$ is not differentiable is

Continuity and Differentiability

Solution:

$\min \left\{x^{2}, 1\right\}$
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$\max \left\{2-|x|, \min \left\{x^{2}, 1\right\}\right\}$
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