Published by:
CGP EDU Academic Team
Published on: August 12, 2026
If f(x) = 
, then
A
f(x) is continuous at x = – 
B
f(x) is not differentiable at x = 0
C
f(x) is differentiable at x = 1
D
f(x) is differentiable at x = – 
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(a,b,c,d)
Sol. at x = 
Lf 
= 0 = f 
Rf 
= 0 ⇒ continuous
at x = 0 Rf ′ (0) = 1
Lf ′ (0) = 0 ⇒ not differentiable
at x = 1 Rf ′ = 1
Lf ′ = 1 ⇒ differentiable at x = 1
at x = 
> 
⇒ f(x) = – cos x ⇒ differentiable at x = 
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