9231 P1 - Nov 2008 - Q5 - 7 marks
6468
The curve \(C\) has equation
\(x^{2}-x y-2 y^{2}=4 .\)
Show that, at the point \(A(2,0)\) on \(C, \frac{\mathrm{~d} y}{\mathrm{~d} x}=2\).
Find the value of \(\frac{\mathrm{d}^{2} y}{\mathrm{~d} x^{2}}\) at \(A\).
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