| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Year | 2008 |
| Session | June |
| Marks | 3 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Tangents, normals and gradients |
| Type | Increasing/decreasing intervals |
| Difficulty | Moderate -0.3 This is a straightforward application of differentiation to find where f'(x) > 0. Students need to differentiate a polynomial, solve a quadratic inequality, and interpret the result. While it requires understanding the connection between derivative and increasing functions, it's a standard C2 exercise with no conceptual surprises, making it slightly easier than average. |
| Spec | 1.07o Increasing/decreasing: functions using sign of dy/dx |
Use calculus to find the set of values of $x$ for which $\text{f}(x) = 12x - x^3$ is an increasing function. [3]
\hfill \mbox{\textit{OCR MEI C2 2008 Q4 [3]}}