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WAEC Further Mathematics 2009 Question 11

Question 11

Differentiation

The gradient of point P on the curve y = 3x2 − x + 3 is 5. Find the coordinates of P

  1. A.(1, 5)
  2. B.(1, 7)
  3. C.(1, 13)
  4. D.(1, 17)
Show the answer and explanation

Answer: A ((1, 5))

Explanation

dy/dx = 6x − 1 = 5 gives x = 1. Then y = 3 − 1 + 3 = 5, so P is (1, 5).