| Exam Board | Edexcel |
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| Module | C3 (Core Mathematics 3) |
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| Year | 2010 |
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| Session | January |
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| Topic | Product & Quotient Rules |
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4. (i) Given that \(y = \frac { \ln \left( x ^ { 2 } + 1 \right) } { x }\), find \(\frac { \mathrm { d } y } { \mathrm {~d} x }\).
(ii) Given that \(x = \tan y\), show that \(\frac { \mathrm { d } y } { \mathrm {~d} x } = \frac { 1 } { 1 + x ^ { 2 } }\).