| Exam Board | OCR MEI |
|---|---|
| Module | C3 (Core Mathematics 3) |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Implicit equations and differentiation |
| Type | Show dy/dx equals given expression |
| Difficulty | Standard +0.0 This is a standard implicit differentiation question requiring application of the product rule and chain rule to find dy/dx. It's a textbook exercise testing routine technique with no problem-solving insight needed, making it average difficulty for A-level. |
| Spec | 1.07s Parametric and implicit differentiation |
1 Given that $x ^ { 2 } + x y + y ^ { 2 } = 12$, find $\frac { \mathrm { d } y } { \mathrm {~d} x }$ in terms of $x$ and $y$.
\hfill \mbox{\textit{OCR MEI C3 Q1 [5]}}