engineering mathematics MCQ #669

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

engineering mathematics MCQ #669

  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) x cos(x) / x²
    • D) sin(x) / x²

    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