OAU Post-UTME Mathematics 2019 Question 1

Question 1

Differentiation

Differentiate y = loge(1/x) − 1

  1. A.x logex
  2. B.−1/x
  3. C.−x
  4. D.(logex)/x
Show the answer and explanation

Answer: B (−1/x)

Explanation

loge(1/x) = −ln x, so y = −ln x − 1 and dy/dx = −1/x.