engineering mathematics MCQ #892

If f(x) = x² sin(x), find f'(x)

engineering mathematics MCQ #892

  1. Question 1

    Q1. If f(x) = x² sin(x), find f'(x)

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

    Answer: 2x sin(x) + x² cos(x)

    Explanation: Use the product rule: if f(x) = u(x)v(x), then f'(x) = u'(x)v(x) + u(x)v'(x). Here, u(x) = x² and v(x) = sin(x).