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WAEC Further Mathematics 2018 Question 26

Question 26

Differentiation

Find the stationary point of the curve y = 3x2 − 2x3.

  1. A.(1, 0)
  2. B.(1, 1)
  3. C.(−1, 0)
  4. D.(−1, −1)
Show the answer and explanation

Answer: B ((1, 1))

Explanation

dy/dx = 6x − 6x² = 6x(1 − x) = 0 at x = 0 or 1. The points are (0, 0) and (1, 1); only (1, 1) is offered.