| Exam Board | Edexcel |
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| Module | C4 (Core Mathematics 4) |
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| Year | 2010 |
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| Session | June |
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| Topic | Implicit equations and differentiation |
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3. A curve \(C\) has equation
$$2 ^ { x } + y ^ { 2 } = 2 x y$$
Find the exact value of \(\frac { \mathrm { d } y } { \mathrm {~d} x }\) at the point on \(C\) with coordinates \(( 3,2 )\).