| Exam Board | OCR MEI |
|---|---|
| Module | C3 (Core Mathematics 3) |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Chain Rule |
| Type | Show that derivative equals expression |
| Difficulty | Moderate -0.3 Part (i) is a straightforward application of the chain rule to differentiate a simple composite function. Part (ii) requires chain rule with exponential and logarithm, but the working is routine once you recognize the structure. Both are standard C3 differentiation exercises with no problem-solving required, making this slightly easier than average. |
| Spec | 1.07j Differentiate exponentials: e^(kx) and a^(kx)1.07l Derivative of ln(x): and related functions1.07r Chain rule: dy/dx = dy/du * du/dx and connected rates |
\begin{enumerate}[label=(\roman*)]
\item Differentiate $\sqrt{1 + 2x}$.
\item Show that the derivative of $\ln(1 - e^{-x})$ is $\frac{1}{e^x - 1}$. [4]
\end{enumerate}
\hfill \mbox{\textit{OCR MEI C3 Q5 [4]}}