engineering mathematics MCQ #779

Find the derivative of y = sin(x) cos(x)

engineering mathematics MCQ #779

  1. Question 1

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

    • A) cos²(x) - sin²(x)
    • B) cos²(x) + sin²(x)
    • C) sin(x) + cos(x)
    • D) sin(x) - cos(x)

    Answer: cos²(x) - sin²(x)

    Explanation: Using the product rule, dy/dx = sin(x) d(cos(x))/dx + cos(x) d(sin(x))/dx = -sin²(x) + cos²(x) = cos²(x) - sin²(x)