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JAMB Mathematics 1995 Question 39

Question 39

Differentiation

For what value of x is the tangent to the curve y = x2 − 4x + 3 parallel to the x-axis?

  1. A.3
  2. B.2
  3. C.1
  4. D.0
Show the answer and explanation

Answer: B (2)

Explanation

A tangent parallel to the x-axis has gradient 0. dy/dx = 2x − 4 = 0 gives x = 2.