| Exam Board | Edexcel |
|---|---|
| Module | C4 (Core Mathematics 4) |
| Marks | 7 |
| Paper | Download PDF ↗ |
| Topic | Implicit equations and differentiation |
| Type | Find stationary points |
| Difficulty | Standard +0.3 This is a straightforward implicit differentiation problem requiring students to differentiate, set dy/dx = 0 to find a relationship between x and y, then substitute back into the original equation to solve simultaneously. While it involves multiple steps and simultaneous equations, it follows a standard algorithmic approach with no novel insight required, making it slightly easier than average. |
| Spec | 1.07s Parametric and implicit differentiation |
A curve has equation
$$x^2 + 2xy - 3y^2 + 16 = 0.$$
Find the coordinates of the points on the curve where $\frac{dy}{dx} = 0$.
[7]
\hfill \mbox{\textit{Edexcel C4 Q2 [7]}}