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WAEC Further Mathematics 2020 Question 9

Question 9

Differentiation

Differentiate x/(x + 1) with respect to x.

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

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

Explanation

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