2013 THREE(a)

Achievement
Question
Differentiate y=sin(2x)x2y = \dfrac{\sin(2x)}{x^2}.

*You do not need to simplify your answer.*
Official Answer
dydx=x2cos(2x)22xsin(2x)x4\dfrac{dy}{dx}=\dfrac{x^2\cdot\cos(2x)\cdot 2-2x\sin(2x)}{x^4}
Grading Criteria

Achievement (u)

  • Correct derivative.

Merit (r)

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Excellence T1

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Excellence T2

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