engineering mathematics MCQ #776

If y = (sin(x) + cos(x)) / (sin(x) - cos(x)), find dy/dx

engineering mathematics MCQ #776

  1. Question 1

    Q1. If y = (sin(x) + cos(x)) / (sin(x) - cos(x)), find dy/dx

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

    Answer: 2 / (sin(x) - cos(x))²

    Explanation: Using the quotient rule, dy/dx = ((sin(x) - cos(x))(cos(x) - sin(x)) - (sin(x) + cos(x))(cos(x) + sin(x))) / (sin(x) - cos(x))² = 2 / (sin(x) - cos(x))²