| Exam Board | CAIE |
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| Module | FP1 (Further Pure Mathematics 1) |
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| Year | 2009 |
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| Session | June |
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| Topic | Implicit equations and differentiation |
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6 A curve has equation
$$( x + y ) \left( x ^ { 2 } + y ^ { 2 } \right) = 1$$
Find the values of \(\frac { \mathrm { d } y } { \mathrm {~d} x }\) and \(\frac { \mathrm { d } ^ { 2 } y } { \mathrm {~d} x ^ { 2 } }\) at the point \(( 0,1 )\).