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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

Show Answer

Answer: (3)


Learning Progress: Step 29 of 36 in this series