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Let $f : \mathbb{R} \to \mathbb{R}$ be a function defined by $f(x) = \max{x, x^2}$. Let $S$ denote the set of all points in $\mathbb{R}$, where $f$ is not differentiable. Then:
(1) ${0, 1}$
(2) ${0}$
(3) $\phi$ (an empty set)
(4) ${1}$
BETA
