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OAU Post-UTME Mathematics 2023 Question 8

Question 8

Differentiation

What is the value of dy/dx when x = 4 for the function y = x ln (x − 3)?

  1. A.0
  2. B.4
  3. C.1
  4. D.½
Show the answer and explanation

Answer: B (4)

Explanation

By the product rule dy/dx = ln(x − 3) + x/(x − 3). At x = 4: ln 1 + 4/1 = 0 + 4 = 4.