| Exam Board | Edexcel |
| Module | C2 (Core Mathematics 2) |
| Topic | Chain Rule |
2. (i) Differentiate with respect to \(x\)
$$2 x ^ { 3 } + \sqrt { } x + \frac { x ^ { 2 } + 2 x } { x ^ { 2 } }$$
(ii) Evaluate
$$\int _ { 1 } ^ { 4 } \left( \frac { x } { 2 } + \frac { 1 } { x ^ { 2 } } \right) \mathrm { d } x$$