engineering mathematics MCQ #636

Find the derivative of sin(2x)cos(x)

engineering mathematics MCQ #636

  1. Question 1

    Q1. Find the derivative of sin(2x)cos(x)

    • A) 2cos(2x)cos(x) - sin(2x)sin(x)
    • B) 2cos(2x)cos(x) + sin(2x)sin(x)
    • C) cos(2x)cos(x) - sin(2x)sin(x)
    • D) cos(2x)cos(x) + sin(2x)sin(x)

    Answer: 2cos(2x)cos(x) - sin(2x)sin(x)

    Explanation: Using product rule, d(sin(2x)cos(x))/dx = sin(2x)d(cos(x))/dx + cos(x)d(sin(2x))/dx = -sin(2x)sin(x) + 2cos(x)cos(2x)