Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Let ƒ(x) = sin x , g(x) = [x + 1] and g{ƒ(x)} = h(x) ; where, [ ] is the greatest integer function. Then h ′ 
is –
Text Solution
Verified by ExpertsThe correct answer is:
A
h(x) = g{ƒ(x)} = [ƒ(x) + 1] = [sin x + 1]
LHD = h ′ 
⇒ LHD = 
⇒ LHD = 
= 
= + ∞
RHD = h ′ 
⇒ RHD = 
⇒ RHD = 
= 
= – ∞ .
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