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WAEC Further Mathematics 2019 Question 32

Question 32

Differentiation

If y = (5 − x)−3, find dy/dx.

  1. A.−15/(5 − x)4
  2. B.−3/(5 − x)4
  3. C.3/(5 − x)4
  4. D.15/(5 − x)4
Show the answer and explanation

Answer: C (3/(5 − x)4)

Explanation

dy/dx = −3(5 − x)⁻⁴ × (−1) = 3/(5 − x)⁴.