| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Tangents, normals and gradients |
| Type | Find tangent at given point (polynomial/algebraic) |
| Difficulty | Moderate -0.5 This is a straightforward differentiation and tangent line question requiring standard techniques: rewrite as a power, differentiate using the power rule, substitute x=16 to find the gradient and y-coordinate, then use y-y₁=m(x-x₁). It's slightly easier than average because it involves only one function with a simple derivative and clear substitution, though it does require multiple steps for the full 5 marks. |
| 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 Q5 [5]}}