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CGP EDU Academic Team
Published on: August 13, 2026
The function ƒ(x) = 1 + x (sin x) [cos x], 0 < x ≤π /2
Text Solution
Verified by ExpertsThe correct answer is:
A
For 0 < x ≤ π /2, [cos x] = 0. Hence ƒ(x) = 1 for all x ∈ (0, π /2]. Trivially ƒ(x) is continuous on (0, π /2). This function is neither strictly increasing nor strictly decreasing and its global maximum is 1.
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