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OAU Post-UTME Mathematics 2014 Question 16

Question 16

Differentiation

Evaluate d/dx (ln sin 3x)

  1. A.3 cot 3x
  2. B.3 tan 3x
  3. C.1/sin 3x
  4. D.3 sin 3x
Show the answer and explanation

Answer: A (3 cot 3x)

Explanation

d/dx ln u = u'/u: (3 cos 3x)/(sin 3x) = 3 cot 3x.