engineering mathematics MCQ #790

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

engineering mathematics MCQ #790

  1. Question 1

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

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

    Answer: 1 / (x + 1)²

    Explanation: Using the quotient rule, dy/dx = ((x + 1)(2) - (2x + 1)(1)) / (x + 1)² = (2x + 2 - 2x - 1) / (x + 1)² = 1 / (x + 1)².