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JAMB Mathematics 1994 Question 40

Question 40

Differentiation

Find the point (x, y) on the Euclidean plane where the curve y = 2x2 − 2x + 3 has 2 as gradient

  1. A.(1, 3)
  2. B.(2, 7)
  3. C.(0, 3)
  4. D.(3, 15)
Show the answer and explanation

Answer: A ((1, 3))

Explanation

dy/dx = 4x − 2 = 2 gives x = 1. Then y = 2 − 2 + 3 = 3, so the point is (1, 3).