engineering mathematics MCQ #765

Find the derivative of y = sin(x) / x

engineering mathematics MCQ #765

  1. Question 1

    Q1. Find the derivative of y = sin(x) / x

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

    Answer: (x cos(x) - sin(x)) / x²

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