engineering mathematics MCQ #695

If y = x / (x + 1), then dy/dx = ?

engineering mathematics MCQ #695

  1. Question 1

    Q1. If y = x / (x + 1), then dy/dx = ?

    • A) 1 / (x + 1)²
    • B) -1 / (x + 1)²
    • C) 1 / (x + 1)
    • D) -1 / (x + 1)

    Answer: 1 / (x + 1)²

    Explanation: Using the quotient rule, if y = u/v, then dy/dx = (v(du/dx) - u(dv/dx)) / v², so dy/dx = ((x+1)(1) - x(1)) / (x+1)² = 1 / (x + 1)².