engineering mathematics MCQ #899

If f(x) = (x + 1) / (x - 1), find f'(x)

engineering mathematics MCQ #899

  1. Question 1

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

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

    Answer: -2 / (x - 1)²

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