engineering mathematics MCQ #713

If f(x) = x² sin(x), then f'(x) is

engineering mathematics MCQ #713

  1. Question 1

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

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

    Answer: 2x sin(x) + x² cos(x)

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