engineering mathematics MCQ #825

The derivative of xsin(x) is?

engineering mathematics MCQ #825

  1. Question 1

    Q1. The derivative of xsin(x) is?

    • A) xcos(x) + sin(x)
    • B) xcos(x) - sin(x)
    • C) sin(x) - xcos(x)
    • D) -xcos(x) + sin(x)

    Answer: xcos(x) + sin(x)

    Explanation: Apply the product rule: (xsin(x))' = x'(sin(x)) + x(sin(x))' = sin(x) + xcos(x).