# Let $f:R\rightarrow R$ 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 set S is:   Option: 1 Option: 2 Option: 3 $\phi$ (an empty set)   Option: 4

Clearly f(x) having sharp edge at x = 0 and x = 1

Hence, f(x) is Non-differentiable at x=0,1

S = {0,1}

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