WAEC Further Mathematics 2017 Question 21

Question 21

Differentiation

If y = (1 + x)/(1 − x), find dy/dx.

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

Answer: A (2/(1 − x)2)

Explanation

Quotient rule: [(1 − x) + (1 + x)]/(1 − x)² = 2/(1 − x)².