If f(x) be such that f(x) = max (|2-x|, 2-x^3), x R - Vidyadip

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

✓

Answer

Correct option: D.

$f(x)$ is non differentiable at $4$ points only

d

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