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WAEC Further Mathematics 2020 Question 33

Question 33

Differentiation

The variables x and y are such that y = 2x3 − 2x2 − 5x + 5. Calculate the corresponding change in y and x changes from 2.00 to 2.05.

  1. A.0.58
  2. B.0.95
  3. C.1.48
  4. D.1.95
Show the answer and explanation

Answer: A (0.58)

Explanation

y(2) = 3 and y(2.05) ≈ 3.575, so the change is about 0.58.