engineering mathematics MCQ #807

If y = x² / (x + 1), then dy/dx = ?

engineering mathematics MCQ #807

  1. Question 1

    Q1. If y = x² / (x + 1), then dy/dx = ?

    • A) (2x(x + 1) - x²) / (x + 1)²
    • B) (2x(x + 1) + x²) / (x + 1)²
    • C) (x + 1) / (x + 1)²
    • D) x² / (x + 1)²

    Answer: (2x(x + 1) - x²) / (x + 1)²

    Explanation: Using quotient rule, dy/dx = d(x² / (x + 1))/dx = ((x + 1) * d(x²)/dx - x² * d(x + 1)/dx) / (x + 1)² = ((x + 1) * 2x - x²) / (x + 1)² = (2x(x + 1) - x²) / (x + 1)².