MCQ
If $f(x)$ be such that $f(x) = max (|2-x|, 2-x^3), x \in R$
- A$f(x)$ is discontinuous at one point
- B$f(x)$ is differentiable $\forall x \in R$
- C$f(x)$ is non differentiable at one point only
- ✓$f(x)$ is non differentiable at $4$ points only

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Statement $1$ : The function $f$ has a local extremum at $x = 0$
Statement $2$ : The function $f$ is continuous and differentiable on $\left( { - \infty ,\infty } \right)$ and $f'(0) = 0$