| Exam Board | Edexcel |
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| Module | C4 (Core Mathematics 4) |
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| Session | Specimen |
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| Topic | Implicit equations and differentiation |
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The curve \(C\) has equation
$$13 x ^ { 2 } + 13 y ^ { 2 } - 10 x y = 52$$
Find an expression for \(\frac { \mathrm { d } y } { \mathrm {~d} x }\) as a function of \(x\) and \(y\), simplifying your answer.
(6)