engineering mathematics MCQ #708

If y = xsin(x), then dy/dx at x = π/2 = ?

engineering mathematics MCQ #708

  1. Question 1

    Q1. If y = xsin(x), then dy/dx at x = π/2 = ?

    • A) π/2
    • B) 1
    • C) π/2 + 1
    • D) 1 + π/2

    Answer: 1 + π/2

    Explanation: Using the product rule, dy/dx = xcos(x) + sin(x), at x = π/2, dy/dx = 0 + 1 = 1, and since x = π/2, it's 1 + π/2.