passwella.
Menu

JAMB Mathematics 2003 Question 38

Question 38

Differentiation

If y = 3 sin(−4x), dy/dx is

  1. A.12x cos(4x)
  2. B.−12x cos(−4x)
  3. C.−12 cos(−4x)
  4. D.12 sin(−4x)
Show the answer and explanation

Answer: C (−12 cos(−4x))

Explanation

By the chain rule, dy/dx = 3 cos(−4x) × (−4) = −12 cos(−4x).