engineering mathematics MCQ #676

If y = x / √(1 + x²), then dy/dx = ?

engineering mathematics MCQ #676

  1. Question 1

    Q1. If y = x / √(1 + x²), then dy/dx = ?

    • A) 1 / (1 + x²)^(3/2)
    • B) 1 / √(1 + x²)
    • C) x / √(1 + x²)
    • D) (1 + x²)^(-3/2)

    Answer: 1 / (1 + x²)^(3/2)

    Explanation: Using quotient rule, dy/dx = (√(1+x²)*d(x)/dx - x*d(√(1+x²))/dx) / (1+x²) = (√(1+x²) - x²/√(1+x²)) / (1+x²) = 1 / (1 + x²)^(3/2).