engineering mathematics MCQ #902

If f(x) = x² / (x + 1), find f'(x)

engineering mathematics MCQ #902

  1. Question 1

    Q1. If f(x) = x² / (x + 1), find f'(x)

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

    Answer: (2x(x+1) - x²) / (x+1)²

    Explanation: Use the quotient rule: f'(x) = ((2x)(x+1) - x²(1)) / (x+1)².