engineering mathematics MCQ #741

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

engineering mathematics MCQ #741

  1. Question 1

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

    • A) 1 / 3
    • B) 1 / 9
    • C) -1 / 9
    • D) -1 / 3

    Answer: 1 / 9

    Explanation: Using the quotient rule, dy/dx = ((x+1)*2 - (2x+1)*1) / (x+1)², then evaluate at x = 1/2.