| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Year | 2015 |
| Session | June |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Stationary points and optimisation |
| Type | Find range where function increasing/decreasing |
| Difficulty | Moderate -0.3 This is a straightforward application of differentiation to find increasing intervals: differentiate to get 3x² - 6, set > 0, and solve the quadratic inequality. Slightly easier than average as it's a standard single-technique question with a simple cubic, though it does require understanding the connection between f'(x) > 0 and increasing functions. |
| Spec | 1.07o Increasing/decreasing: functions using sign of dy/dx |
5 Use calculus to find the set of values of $x$ for which $x ^ { 3 } - 6 x$ is an increasing function.
\hfill \mbox{\textit{OCR MEI C2 2015 Q5 [5]}}