| Exam Board | OCR |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Stationary points and optimisation |
| Type | Find stationary points coordinates |
| Difficulty | Standard +0.3 This is a straightforward stationary point question requiring differentiation of a simple function (including x^{-2}), setting dy/dx = 0, and solving a cubic equation that factorises easily. While it involves multiple steps, each is routine for C1 level with no problem-solving insight required, making it slightly easier than average. |
| Spec | 1.07i Differentiate x^n: for rational n and sums1.07n Stationary points: find maxima, minima using derivatives |
Find the coordinates of the stationary point of the curve with equation
$$y = x + \frac{4}{x^2}.$$ [5]
\hfill \mbox{\textit{OCR C1 Q2 [5]}}