| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Year | 2010 |
| Session | January |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Tangents, normals and gradients |
| Type | Find tangent at given point (polynomial/algebraic) |
| Difficulty | Moderate -0.3 This is a straightforward differentiation and tangent line question requiring standard techniques: rewrite as a power, differentiate, substitute x=16 to find gradient and y-coordinate, then use y-y₁=m(x-x₁). Slightly easier than average as it's a single-part question with a simple function and no complications, though the 5 marks indicate multiple steps are expected. |
| Spec | 1.07i Differentiate x^n: for rational n and sums1.07m Tangents and normals: gradient and equations |
Find the equation of the tangent to the curve $y = 6\sqrt{x}$ at the point where $x = 16$. [5]
\hfill \mbox{\textit{OCR MEI C2 2010 Q8 [5]}}