2018 THREE(a)

Achievement
Question
Differentiate y=e2xx2+1y = \dfrac{e^{2x}}{x^2 + 1}.

You do not need to simplify your answer.
Official Answer
(x2+1)2e2xe2x2x(x2+1)2\dfrac{(x^2+1)\cdot 2e^{2x}-e^{2x}\cdot 2x}{(x^2+1)^2}
Grading Criteria

Achievement (u)

  • Correct derivative.

Merit (r)

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Excellence T1

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Excellence T2

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Video Explanation
NCEA Level 3 Calculus Differentiation 2018 NZQA Exam - Worked Answers by infinityplusone(starts at 39:31)
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