JEE PYQ: Continuity And Differentiability Question 29
Question 29 - 2019 (10 Apr Shift 1)
Let $f = \mathbb{R} \to \mathbb{R}$ be differentiable at $c \in \mathbb{R}$ and $f(c) = 0$. If $g(x) = |f(x)|$, then at $x = c$, $g$ is:
(1) not differentiable if $f’(c) = 0$
(2) differentiable if $f’’(c) \neq 0$
(3) differentiable if $f’(c) = 0$
(4) not differentiable