engineering mathematics MCQ #614

Differentiate y = cos(x) / x

engineering mathematics MCQ #614

  1. Question 1

    Q1. Differentiate y = cos(x) / x

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

    Answer: (-x sin(x) - cos(x)) / x²

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