| Exam Board | OCR |
|---|---|
| Module | AS Pure (AS Pure Mathematics) |
| Year | 2017 |
| Session | Specimen |
| Marks | 4 |
| Topic | Tangents, normals and gradients |
| Type | Find second derivative |
| Difficulty | Easy -1.3 This is a straightforward differentiation exercise requiring only basic application of the power rule twice, then substitution. It's purely procedural recall with no problem-solving element, making it easier than average but not quite trivial since it requires two steps and careful arithmetic. |
| Spec | 1.07i Differentiate x^n: for rational n and sums |
1 Given that $\mathrm { f } ( x ) = 6 x ^ { 3 } - 5 x$, find
\begin{enumerate}[label=(\alph*)]
\item $\mathrm { f } ^ { \prime } ( x )$,
\item $f ^ { \prime \prime } ( 2 )$.
\end{enumerate}
\hfill \mbox{\textit{OCR AS Pure 2017 Q1 [4]}}