JAMB Mathematics 2001 Question 35

Question 35

Differentiation

If the gradient of the curve y = 2kx2 + x + 1 at x = 1 is 9, find k.

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

Answer: B (2)

Explanation

dy/dx = 4kx + 1. At x = 1, 4k + 1 = 9, so k = 2.