engineering mathematics MCQ #785

If y = (x + 1) / (x - 1), then dy/dx at x = 2 = ?

engineering mathematics MCQ #785

  1. Question 1

    Q1. If y = (x + 1) / (x - 1), then dy/dx at x = 2 = ?

    • A) -2
    • B) -1
    • C) 2
    • D) -4

    Answer: -2

    Explanation: Using the quotient rule, dy/dx = ((x - 1)(1) - (x + 1)(1)) / (x - 1)² = -2 / (x - 1)². At x = 2, dy/dx = -2 / (2 - 1)² = -2.