Q.19. Assertion (A): Consider the function defined as 𝑓(𝑥) = |𝑥| + |𝑥 − 1|, 𝑥 ∈ 𝑅. Then f x( ) is

Q.19. Assertion (A): Consider the function defined as 𝑓(𝑥) = |𝑥| + |𝑥 − 1|, 𝑥 ∈ 𝑅. Then
f x( )
is not differentiable
at 0 and 1 x x = =
.
Reason (R): Suppose
f
be defined and continuous on
(a b, )
and
c a b ( , )
, then
f x( )
is not
differentiable at 𝑥 = 𝑐 if lim
ℎ→0−
𝑓(𝑐+ℎ)−𝑓(𝑐)
ℎ
≠ lim
ℎ→0+
𝑓(𝑐+ℎ)−𝑓(𝑐)
ℎ