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JAMB Mathematics 2010 Question 42

Question 42

Differentiation

At what value of x does the function y = −3 − 2x + x2 attain a minimum value?

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

Answer: A (1)

Explanation

dy/dx = −2 + 2x = 0 at x = 1, and the second derivative 2 is positive, so the minimum is at x = 1.