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UI Post-UTME Mathematics 2024 (Model questions) Question 21

Question 21

Differentiation

At what value of x is the function y = x2 − 2x − 3 minimum and what is the minimum value of the function?

  1. A.−1, 4
  2. B.1, −4
  3. C.2, 3
  4. D.1, 5
Show the answer and explanation

Answer: B (1, −4)

Explanation

dy/dx = 2x − 2 = 0 at x = 1, and y(1) = 1 − 2 − 3 = −4.