9231 P22 - Nov 2022 - Q2 - 7 marks
6000
A curve has equation
\((x+1) y+y^{2}=2\)
(a) Show that \(\frac{\mathrm{d} y}{\mathrm{~d} x}=-\frac{2}{3}\) at the point \((0,-2)\).
(b) Find the value of \(\frac{\mathrm{d}^{2} y}{\mathrm{~d} x^{2}}\) at the point \((0,-2)\).
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