Answer and explanation

Correct answer: D.

  1. Step 1: Write and use the chain rule twice.
  2. Step 2: Outer power: ; derivative of : .
  3. Step 3: .
Answer
.
Why not the others: misses the 3 from the inner function; drops the cosine; the last has the sign of the derivative of cosine.

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Differentiate y = sin 2(3x). | NSW HSC