engineering mathematics MCQ #901

Differentiate f(x) = sin(x)cos(x)

engineering mathematics MCQ #901

  1. Question 1

    Q1. Differentiate f(x) = 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: Apply the product rule: f'(x) = cos(x)cos(x) + sin(x)(-sin(x)) = cos²(x) - sin²(x).