| Exam Board | OCR |
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| Module | C4 (Core Mathematics 4) |
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| Year | 2010 |
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| Session | January |
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| Topic | Parametric equations |
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6 A curve has parametric equations
$$x = 9 t - \ln ( 9 t ) , \quad y = t ^ { 3 } - \ln \left( t ^ { 3 } \right)$$
Show that there is only one value of \(t\) for which \(\frac { \mathrm { d } y } { \mathrm {~d} x } = 3\) and state that value.