WAEC Further Mathematics 2007 Question 20

Question 20

Differentiation

If f(x) = mx2 − 6x − 3 and f′(1) = 12, find the value of constant m.

  1. A.9
  2. B.3
  3. C.−3
  4. D.−4
Show the answer and explanation

Answer: A (9)

Explanation

f′(x) = 2mx − 6, so f′(1) = 2m − 6 = 12 and m = 9.