9231 P13 - Jun 2011 - Q4 - 8 marks
6536
The curve \(C\) has equation
\(2 x y^{2}+3 x^{2} y=1 .\)
Show that, at the point \(A(-1,1)\) on \(C, \frac{\mathrm{~d} y}{\mathrm{~d} x}=-4\).
Find the value of \(\frac{\mathrm{d}^{2} y}{\mathrm{~d} x^{2}}\) at \(A\).
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