JEE Main 2025 Mathematics question
Let f : R → R be a twice differentiable function such that , for all x, y ∈ R. If , then the value of is :
Answer: (3)
Solution
Derived f(x) = sin(x/2), f'(x) = (1/2)cos(x/2), f''(x) = –(1/4)sin(x/2). 24f''(5π/3) = –3.