engineering mathematics MCQ #781

Find the derivative of y = √(sin(x))

engineering mathematics MCQ #781

  1. Question 1

    Q1. Find the derivative of y = √(sin(x))

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

    Answer: cos(x) / (2√(sin(x)))

    Explanation: Using the chain rule, dy/dx = 1/(2√(sin(x))) * d(sin(x))/dx = 1/(2√(sin(x))) * cos(x) = cos(x) / (2√(sin(x)))