JEE Main 2024 Mathematics question

MathematicsMethods of DifferentiationsJEE Main 2024

If , then is equal to .

Answer: 105

Solution

The first term simplifies to x − 1, so y′ = 1 + sin³x cos²x; at x = π/6 this is 1 + 3/32 = 35/32 and 96y′ = 105.

Question ID VK-011213