Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Let f : [0,∞) → [0, 3] be a function defined by 
Then which of the following is true ?
A
f is continuous everywhere but not differentiable exactly at one point in 
B
f is differentiable everywhere in 
C
f is not continuous exactly at two points in 
D
f is continuous everywhere but not differentiable exactly at two points in 
Text Solution
Verified by ExpertsThe correct answer is:
B
Graph of max{sin t : 0 ≤ t ≤ x} in x ∈ [0, π]
& graph of cos for x ∈ [π,∞)
So graph of
f(x) is differentiable everywhere in 
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