engineering mathematics MCQ #888

If f(x) = sin(x)cos(x), find f'(x)

engineering mathematics MCQ #888

  1. Question 1

    Q1. If f(x) = sin(x)cos(x), find f'(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 product rule, f'(x) = (sin(x))'cos(x) + sin(x)(cos(x))' = cos²(x) - sin²(x).