engineering mathematics MCQ #629

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

engineering mathematics MCQ #629

  1. Question 1

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

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

    Answer: (x cos(x) - sin(x)) / x²

    Explanation: Using quotient rule, dy/dx = (x * d(sin(x))/dx - sin(x) * d(x)/dx) / x² = (x cos(x) - sin(x)) / x².