engineering mathematics MCQ #673

If y = x sin(x), then dy/dx = ?

engineering mathematics MCQ #673

  1. Question 1

    Q1. If y = x sin(x), then dy/dx = ?

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

    Answer: x cos(x) + sin(x)

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