engineering mathematics MCQ #859

If f(x) = (2x + 1) / (x + 1), then f'(x) is

engineering mathematics MCQ #859

  1. Question 1

    Q1. If f(x) = (2x + 1) / (x + 1), then f'(x) is

    • 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 quotient rule, f'(x) = ((2x+1)'(x+1) - (2x+1)(x+1)') / (x+1)² = (2(x+1) - (2x+1)) / (x+1)² = 1 / (x + 1)².