Question:
Let $f: \mathrm{R} \rightarrow \mathrm{R}$ be a function defined by $f(x)=\max \left\{x, x^{2}\right\}$. Let $S$ denote the set of all points in R, where $f$ is not differentiable. Then :
Correct Option: 1
Solution:
$f(x)=\max \left(x, x^{2}\right)$
Non-differentiable at $x=0,1$
$\mathrm{S}=\{0,1\}$
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