0606 P23 - Nov 2018 - Q4 - 6 marks
8540
\(\frac{d^2y}{dx^2}=2x+\frac{3}{(x+1)^4}.\)
(i) Find \(\dfrac{dy}{dx}\), given that \(\dfrac{dy}{dx}=1\) when \(x=1\).
(ii) Find \(y\) in terms of \(x\), given that \(y=3\) when \(x=1\).
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