| 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 straightforward implicit differentiation question requiring application of the product rule and chain rule to differentiate each term, then rearranging to isolate dy/dx. It's slightly above average difficulty due to the product rule on x²(2+y), but remains a standard C4 exercise with no novel problem-solving required. |
| Spec | 1.07s Parametric and implicit differentiation |
\begin{enumerate}
\item A curve has the equation
\end{enumerate}
$$x ^ { 2 } ( 2 + y ) - y ^ { 2 } = 0$$
Find an expression for $\frac { \mathrm { d } y } { \mathrm {~d} x }$ in terms of $x$ and $y$.\\
\hfill \mbox{\textit{OCR C4 Q1 [5]}}