| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Year | 2016 |
| Session | June |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Tangents, normals and gradients |
| Type | Find derivative after algebraic simplification (fractional/mixed powers) |
| Difficulty | Easy -1.3 This is a straightforward two-part question testing basic differentiation and integration rules. Part (i) requires rewriting √x as x^(1/2) and applying the power rule. Part (ii) requires rewriting 1/x² as x^(-2) and applying the reverse power rule with the constant of integration. Both are routine recall exercises with minimal steps, making this easier than average for A-level. |
| Spec | 1.07i Differentiate x^n: for rational n and sums1.08c Integrate e^(kx), 1/x, sin(kx), cos(kx) |
\begin{enumerate}[label=(\roman*)]
\item Find $\frac{\mathrm{d}y}{\mathrm{d}x}$ when $y = 6\sqrt{x}$. [2]
\item Find $\int \frac{12}{x^2} \mathrm{d}x$. [3]
\end{enumerate}
\hfill \mbox{\textit{OCR MEI C2 2016 Q1 [5]}}