engineering mathematics MCQ #617

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

engineering mathematics MCQ #617

  1. Question 1

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

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

    Answer: cos²(x) - sin²(x)

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