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WAEC Further Mathematics 2007 Question 13

Question 13

Differentiation

The tangent to the curve y = 4x3 + kx2 − 6x + 4 at the point P(1, m) is parallel to the x-axis, where k and m are constants. Determine the coordinates of P

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

Answer: C ((1, −1))

Explanation

With k = −3, y = 4 − 3 − 6 + 4 = −1 at x = 1, so P is (1, −1).