| Exam Board | Edexcel |
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| Module | C1 (Core Mathematics 1) |
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| Year | 2010 |
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| Session | January |
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| Topic | Standard Integrals and Reverse Chain Rule |
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4.
$$\frac { \mathrm { d } y } { \mathrm {~d} x } = 5 x ^ { - \frac { 1 } { 2 } } + x \sqrt { } x , \quad x > 0$$
Given that \(y = 35\) at \(x = 4\), find \(y\) in terms of \(x\), giving each term in its simplest form.