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JAMB Mathematics 2002 Question 8

Question 8

Differentiation

Find the derivative of y = sin2(5x) with respect to x.

  1. A.10 sin 5x cos 5x
  2. B.5 sin 5x cos 5x
  3. C.2 sin 5x cos 5x
  4. D.15 sin 5x cos 5x
Show the answer and explanation

Answer: A (10 sin 5x cos 5x)

Explanation

By the chain rule: 2 sin 5x × cos 5x × 5 = 10 sin 5x cos 5x.