| Exam Board | OCR |
|---|---|
| Module | C4 (Core Mathematics 4) |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Implicit equations and differentiation |
| Type | Show dy/dx equals given expression |
| Difficulty | Standard +0.3 This is a standard implicit differentiation question requiring the product rule and chain rule. While it involves multiple terms and careful algebraic manipulation, it follows a routine procedure taught in C4 with no novel problem-solving required. The 5 marks reflect the working steps rather than conceptual difficulty, making it slightly easier than average. |
| Spec | 1.07s Parametric and implicit differentiation |
A curve has the equation
$$x^2 + 2xy^2 + y = 4.$$
Find an expression for $\frac{dy}{dx}$ in terms of $x$ and $y$. [5]
\hfill \mbox{\textit{OCR C4 Q2 [5]}}