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JAMB Mathematics 2001 Question 33

Question 33

Differentiation

Differentiate (2x + 5)2(x − 4) with respect to x.

  1. A.(2x + 5)(6x − 11)
  2. B.(2x + 5)(2x − 13)
  3. C.4(2x + 5)(x − 4)
  4. D.4(2x + 5)(4x − 3)
Show the answer and explanation

Answer: A ((2x + 5)(6x − 11))

Explanation

By the product rule: (2x + 5)2 + (x − 4) × 4(2x + 5) = (2x + 5)(2x + 5 + 4x − 16) = (2x + 5)(6x − 11).