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OAU Post-UTME Mathematics 2019 Question 7

Question 7

Differentiation

Find the minimum point of the function 2x2 − 12x + 3.

  1. A.3
  2. B.−15
  3. C.57
  4. D.5
Show the answer and explanation

Answer: A (3)

Explanation

dy/dx = 4x − 12 = 0 at x = 3, and d²y/dx² = 4 > 0, so the minimum is at x = 3 (the minimum value there is −15).