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OAU Post-UTME Mathematics 2013 Question 21

Question 21

Differentiation

Differentiate sin(2x − 5) with respect to x.

  1. A.cos (2x − 5)
  2. B.−cos (2x − 5)
  3. C.2cos (2x − 5)
  4. D.−2cos (2x − 5)
Show the answer and explanation

Answer: C (2cos (2x − 5))

Explanation

Chain rule: cos(2x − 5) × 2 = 2cos(2x − 5).