9231 P21 - Jun 2022 - Q5 - 10 marks
5979
The variables \(x\) and \(y\) are such that \(y=0\) when \(x=0\) and
\((x+1) y+(x+y+1)^{3}=1 .\)
(a) Show that \(\frac{\mathrm{d} y}{\mathrm{~d} x}=-\frac{3}{4}\) when \(x=0\).
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