engineering mathematics MCQ #752

If y = x² sin(x), then dy/dx = ?

engineering mathematics MCQ #752

  1. Question 1

    Q1. If y = x² sin(x), then dy/dx = ?

    • A) x² cos(x) + 2x sin(x)
    • B) 2x sin(x)
    • C) x² cos(x)
    • D) 2x cos(x)

    Answer: x² cos(x) + 2x sin(x)

    Explanation: Using product rule, dy/dx = d(x² sin(x))/dx = x² d(sin(x))/dx + sin(x) d(x²)/dx = x² cos(x) + 2x sin(x).