2014 TWO(a)

Achievement
Question
Differentiate f(x)=e4x2x1f(x)=\dfrac{e^{4x}}{2x-1}.

You do not need to simplify your answer.
Official Answer
f(x)=(2x1)4e4xe4x2(2x1)2f'(x)=\dfrac{(2x-1)4e^{4x}-e^{4x}\,2}{(2x-1)^2}
Grading Criteria

Achievement (u)

  • A correct expression for the derivative.

Merit (r)

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Excellence T1

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Excellence T2

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