| Exam Board | Edexcel |
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| Module | C34 (Core Mathematics 3 & 4) |
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| Year | 2016 |
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| Session | January |
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| Topic | Implicit equations and differentiation |
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3. A curve \(C\) has equation
$$3 ^ { x } + 6 y = \frac { 3 } { 2 } x y ^ { 2 }$$
Find the exact value of \(\frac { \mathrm { d } y } { \mathrm {~d} x }\) at the point on \(C\) with coordinates (2, 3). Give your answer in the form \(\frac { a + \ln b } { 8 }\), where \(a\) and \(b\) are integers.