engineering mathematics MCQ #613

If y = x² sin(x), find dy/dx

engineering mathematics MCQ #613

  1. Question 1

    Q1. If y = x² sin(x), find dy/dx

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

    Answer: x² cos(x) + 2x sin(x)

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