0606 P13 - Jun 2019 - Q4 - 5 marks
8277
It is given that \(y=\dfrac{\ln(2x^3+5)}{x-1}\) for \(x\gt 1\).
(i) Find \(\frac{dy}{dx}\) when \(x=2\).
(ii) Find the approximate change in \(y\) as \(x\) increases from \(2\) to \(2+p\), where \(p\) is small.
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