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WAEC Further Mathematics 2023 Question 13

Question 13

Differentiation

Given that y2 + xy = 5, find dy/dx.

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

Answer: B (−y/(2y + x))

Explanation

Differentiate implicitly: 2y dy/dx + x dy/dx + y = 0, so dy/dx = −y/(2y + x).