| Exam Board | OCR |
|---|---|
| Module | C3 (Core Mathematics 3) |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Tangents, normals and gradients |
| Type | Differentiate rational functions |
| Difficulty | Moderate -0.3 This is a straightforward differentiation question requiring the quotient rule and point-slope form for a tangent line. While it involves multiple steps (differentiate, evaluate at x=1, find tangent equation, rearrange to required form), these are all standard techniques with no conceptual challenges. Slightly easier than average due to being a routine application of well-practiced methods. |
| Spec | 1.07m Tangents and normals: gradient and equations1.07q Product and quotient rules: differentiation |
Find the equation of the tangent to the curve $y = \frac{2x + 1}{3x - 1}$ at the point $(1, \frac{3}{2})$, giving your answer in the form $ax + by + c = 0$, where $a$, $b$ and $c$ are integers. [5]
\hfill \mbox{\textit{OCR C3 Q1 [5]}}