JEE Main 2024 Mathematics question
For the function , where x ∈ . Consider the following two statements: (I) f is increasing in (II) f′ is decreasing in
Answer: (D)
Solution
f′(x) = cos x + 3 − (4x + 2)/π, which is ≥ 0.36 > 0 on [0, π/2] (so f is increasing), and f″(x) = −sin x − 4/π < 0 (so f′ is decreasing).