| Exam Board | OCR MEI |
|---|---|
| Module | C3 (Core Mathematics 3) |
| Year | 2009 |
| Session | January |
| Marks | 7 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Product & Quotient Rules |
| Type | Find derivative of product |
| Difficulty | Moderate -0.3 Part (i) is a straightforward application of the product rule with a standard trigonometric function requiring chain rule for cos 2x. Part (ii) requires integration by parts, which is slightly more demanding but still a standard C3 technique. Overall, this is a routine two-part question testing standard methods with no problem-solving insight required, making it slightly easier than average. |
| Spec | 1.07q Product and quotient rules: differentiation1.08i Integration by parts |
2 (i) Differentiate $x \cos 2 x$ with respect to $x$.\\
(ii) Integrate $x \cos 2 x$ with respect to $x$.
\hfill \mbox{\textit{OCR MEI C3 2009 Q2 [7]}}