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WAEC Further Mathematics 2024 Question 15

Question 15

Differentiation

The gradient of the curve y = ux2 + 3x − 1 at the point (−1, 1) is 9. Find the value of u.

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

Answer: A (−3)

Explanation

dy/dx = 2ux + 3. At x = −1: −2u + 3 = 9, so u = −3.