engineering mathematics MCQ #775

Find the derivative of y = x² sin(x)

engineering mathematics MCQ #775

  1. Question 1

    Q1. Find the derivative of y = x² sin(x)

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

    Answer: x² cos(x) + 2x sin(x)

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