| Exam Board | OCR |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Tangents, normals and gradients |
| Type | Find derivative after algebraic simplification (fractional/mixed powers) |
| Difficulty | Easy -1.2 This is a straightforward C1 differentiation question requiring only direct application of the power rule to three terms. Students need to rewrite roots and fractions as powers (x^{1/2} and x^{-1}), then apply standard rules—a routine exercise with no problem-solving or conceptual challenge beyond basic technique. |
| Spec | 1.07i Differentiate x^n: for rational n and sums |
\begin{enumerate}
\item Differentiate with respect to $x$
\end{enumerate}
$$3 x ^ { 2 } - \sqrt { x } + \frac { 1 } { 2 x }$$
\hfill \mbox{\textit{OCR C1 Q2 [4]}}