| Exam Board | OCR |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Tangents, normals and gradients |
| Type | Find tangent at given point (polynomial/algebraic) |
| Difficulty | Moderate -0.8 This is a straightforward C1 differentiation question requiring only: (1) find the y-coordinate at x=2, (2) differentiate y=√(8x) using standard power rule, (3) evaluate gradient at x=2, and (4) write tangent equation using y-y₁=m(x-x₁). All steps are routine procedures with no problem-solving or conceptual challenges, making it easier than average. |
| Spec | 1.07i Differentiate x^n: for rational n and sums1.07m Tangents and normals: gradient and equations |
\begin{enumerate}
\item The curve with equation $y = \sqrt { 8 x }$ passes through the point $A$ with $x$-coordinate 2 .
\end{enumerate}
Find an equation for the tangent to the curve at $A$.\\
\hfill \mbox{\textit{OCR C1 Q5 [6]}}