| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Year | 2009 |
| Session | January |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Stationary points and optimisation |
| Type | Find stationary points coordinates |
| Difficulty | Moderate -0.8 This is a straightforward application of standard differentiation rules (power rule) followed by setting the derivative equal to zero and solving a simple equation. It requires only routine techniques with no problem-solving insight, making it easier than average but not trivial since it involves algebraic manipulation with a fractional power. |
| Spec | 1.07i Differentiate x^n: for rational n and sums1.07n Stationary points: find maxima, minima using derivatives |
7 Differentiate $4 x ^ { 2 } + \frac { 1 } { x }$ and hence find the $x$-coordinate of the stationary point of the curve $y = 4 x ^ { 2 } + \frac { 1 } { x }$.
\hfill \mbox{\textit{OCR MEI C2 2009 Q7 [5]}}