| Exam Board | Edexcel |
|---|---|
| Module | C4 (Core Mathematics 4) |
| Session | Specimen |
| Marks | 6 |
| 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. While it involves multiple terms and algebraic manipulation, it follows a standard procedure taught in C4 with no novel insight required, making it slightly easier than average. |
| Spec | 1.07s Parametric and implicit differentiation |
The curve $C$ has equation
$$13 x ^ { 2 } + 13 y ^ { 2 } - 10 x y = 52$$
Find an expression for $\frac { \mathrm { d } y } { \mathrm {~d} x }$ as a function of $x$ and $y$, simplifying your answer.\\
(6)\\
\hfill \mbox{\textit{Edexcel C4 Q2 [6]}}