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WAEC Further Mathematics 2016 Question 27

Question 27

Differentiation

Find the gradient of the normal to the curve y = x3 − x2 at the point where x = 2.

  1. A.−1/8
  2. B.−1/24
  3. C.1/8
  4. D.1
Show the answer and explanation

Answer: A (−1/8)

Explanation

dy/dx = 3x² − 2x = 8 at x = 2, so the normal has gradient −1/8.