Solve this following


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 :

  1. $\{0,1\}$

  2. $\{0\}$


  3. $\phi($ an empty set $)$

  4. $\{1\}$

Correct Option: 1


$f(x)=\max \left(x, x^{2}\right)$

Non-differentiable at $x=0,1$


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