| Exam Board | OCR |
|---|---|
| Module | C3 (Core Mathematics 3) |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Tangents, normals and gradients |
| Type | Differentiate composite functions |
| Difficulty | Moderate -0.3 This is a straightforward differentiation and tangent line question requiring chain rule application and point-slope form. It's slightly easier than average because it's a single-technique problem with a given point, requiring no problem-solving beyond standard calculus procedures. |
| Spec | 1.07m Tangents and normals: gradient and equations1.07r Chain rule: dy/dx = dy/du * du/dx and connected rates |
Find the equation of the tangent to the curve $y = \sqrt{4x + 1}$ at the point $(2, 3)$. [5]
\hfill \mbox{\textit{OCR C3 Q1 [5]}}