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OAU Post-UTME Mathematics 2021 (Batch B) Question 16

Question 16

Differentiation

Find the differential coefficient of (x2 − 5x + 7)/(2x) at the point (2, ¼).

  1. A.−5/4
  2. B.−1/2
  3. C.−3/8
  4. D.1/8
Show the answer and explanation

Answer: C (−3/8)

Explanation

Write y = x/2 − 5/2 + 7/(2x). Then dy/dx = ½ − 7/(2x²). At x = 2: ½ − 7/8 = −3/8.