| Exam Board | OCR |
|---|---|
| Module | C3 (Core Mathematics 3) |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Product & Quotient Rules |
| Type | Find derivative of composite quotient/product |
| Difficulty | Moderate -0.8 This is a straightforward differentiation question testing basic techniques: chain rule for part (i) and product rule for part (ii). Both are standard exercises requiring direct application of learned rules with minimal algebraic manipulation. Easier than average for C3, as it involves no problem-solving or conceptual insight beyond routine technique application. |
| Spec | 1.07i Differentiate x^n: for rational n and sums1.07q Product and quotient rules: differentiation |
Differentiate each of the following with respect to $x$ and simplify your answers.
\begin{enumerate}[label=(\roman*)]
\item $\frac{6}{\sqrt{2x-7}}$ [2]
\item $x^2 e^{-x}$ [3]
\end{enumerate}
\hfill \mbox{\textit{OCR C3 Q2 [5]}}