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WAEC Further Mathematics 2017 Question 20

Question 20

Differentiation

Given that f(x) = 5x2 − 4x + 3, find the coordinates of the point where the gradient is 6.

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

Answer: C ((1, 4))

Explanation

f′(x) = 10x − 4 = 6 gives x = 1, and f(1) = 5 − 4 + 3 = 4. The point is (1, 4).