| Exam Board | OCR |
|---|---|
| Module | C3 (Core Mathematics 3) |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Product & Quotient Rules |
| Type | Find stationary points coordinates |
| Difficulty | Standard +0.3 This is a straightforward application of the quotient rule followed by solving a quadratic equation to find stationary points. While it requires multiple steps (differentiate, set equal to zero, solve, substitute back), these are all standard techniques with no conceptual difficulty or novel insight required. The algebra is slightly more involved than a basic example but remains routine for C3 level. |
| Spec | 1.07n Stationary points: find maxima, minima using derivatives1.07q Product and quotient rules: differentiation1.07r Chain rule: dy/dx = dy/du * du/dx and connected rates |
3. Find the coordinates of the stationary points of the curve with equation
$$y = \frac { x - 1 } { x ^ { 2 } - 2 x + 5 }$$
\hfill \mbox{\textit{OCR C3 Q3 [6]}}