Let f: R→R be a function defined by... | Continuity and Differentiability | JEE Main 2020

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JEE MAIN 2020

06-09-2020 S2

Question

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 :

Select the correct option:

A

$\varphi($ an empty set)

B

$\{0,1\}$

C

\{1\}

D

$\{0\}$

✓ Correct! Well done.

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