| Exam Board | Edexcel |
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| Module | P3 (Pure Mathematics 3) |
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| Year | 2018 |
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| Session | Specimen |
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| Topic | Product & Quotient Rules |
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5. Given that
$$y = \frac { 5 x ^ { 2 } - 10 x + 9 } { ( x - 1 ) ^ { 2 } } \quad x \neq 1$$
show that \(\frac { \mathrm { d } y } { \mathrm {~d} x } = \frac { k } { ( x - 1 ) ^ { 3 } }\), where \(k\) is a constant to be found.
(6)