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WAEC Further Mathematics 2025 Question 12

Question 12

Differentiation

If y = (2 − x)/(3 + 5x), find dy/dx

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

Answer: B (−13/(5x + 3)2)

Explanation

Quotient rule: dy/dx = [(3 + 5x)(−1) − (2 − x)(5)]/(3 + 5x)² = (−3 − 5x − 10 + 5x)/(5x + 3)² = −13/(5x + 3)².