engineering mathematics MCQ #706

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

engineering mathematics MCQ #706

  1. Question 1

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

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

    Answer: (x - 1)(2) - (2x + 1)(1)/(x - 1)²

    Explanation: Using the quotient rule, if y = u/v, then dy/dx = (v(du/dx) - u(dv/dx))/v², here u = 2x + 1, v = x - 1.