JAMB Mathematics 2014 Question 39

Question 39

Differentiation

If y = cos 3x, find dy/dx.

  1. A.−3sin 3x
  2. B.⅓sin 3x
  3. C.−⅓sin 3x
  4. D.3sin 3x
Show the answer and explanation

Answer: A (−3sin 3x)

Explanation

The derivative of cos u is −sin u × du/dx. Here u = 3x, so dy/dx = −3 sin 3x.