engineering mathematics MCQ #861

If y = √(x + 1), then dy/dx is

engineering mathematics MCQ #861

  1. Question 1

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

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

    Answer: 1 / (2√(x + 1))

    Explanation: Using chain rule and power rule, if y = u^(1/2) and u = x + 1, then dy/dx = 1/2*u^(-1/2) * du/dx = 1/(2√(x+1)) * 1 = 1 / (2√(x + 1)).