JAMB Mathematics 2010 Question 40

Question 40

Differentiation

If y = (2x + 1)3, find dy/dx.

  1. A.3(2x + 1)2
  2. B.3(2x + 1)
  3. C.6(2x + 1)
  4. D.6(2x + 1)2
Show the answer and explanation

Answer: D (6(2x + 1)2)

Explanation

By the chain rule, dy/dx = 3(2x + 1)2 × 2 = 6(2x + 1)2.