| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Year | 2012 |
| Session | January |
| Marks | 3 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Stationary points and optimisation |
| Type | Find range where function increasing/decreasing |
| Difficulty | Moderate -0.8 This is a straightforward application of differentiation to find where a function is decreasing. Students need only differentiate a simple quadratic, set f'(x) < 0, and solve a linear inequality—all routine C2 skills with no problem-solving required. |
| Spec | 1.07i Differentiate x^n: for rational n and sums1.07o Increasing/decreasing: functions using sign of dy/dx |
3 Find the set of values of $x$ for which $x ^ { 2 } - 7 x$ is a decreasing function.
\hfill \mbox{\textit{OCR MEI C2 2012 Q3 [3]}}