engineering mathematics MCQ #702

If y = (2x - 1) / (x + 2), then dy/dx = ?

engineering mathematics MCQ #702

  1. Question 1

    Q1. If y = (2x - 1) / (x + 2), then dy/dx = ?

    • A) 5 / (x + 2)²
    • B) -5 / (x + 2)²
    • C) 5 / (x + 2)
    • D) -5 / (x + 2)

    Answer: 5 / (x + 2)²

    Explanation: Using the quotient rule, if y = u/v, then dy/dx = (v(du/dx) - u(dv/dx)) / v², so dy/dx = ((x+2)(2) - (2x-1)(1)) / (x+2)² = 5 / (x + 2)².