engineering mathematics MCQ #979

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

engineering mathematics MCQ #979

  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)
    • D) -1 / (x - 1)

    Answer: -2 / (x - 1)²

    Explanation: Using the quotient rule, f'(x) = ((x-1)*d(x+1)/dx - (x+1)*d(x-1)/dx) / (x-1)² = -2 / (x - 1)².