| Exam Board | OCR |
|---|---|
| Module | C4 (Core Mathematics 4) |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Differentiating Transcendental Functions |
| Type | Differentiate logarithmic functions |
| Difficulty | Moderate -0.8 This is a straightforward differentiation question testing basic chain rule and product rule applications. Part (i) requires chain rule with standard trigonometric derivatives, and part (ii) is a routine product rule question. Both are standard textbook exercises with no problem-solving element, making this easier than average for A-level. |
| Spec | 1.07l Derivative of ln(x): and related functions1.07q Product and quotient rules: differentiation |
Differentiate each of the following with respect to $x$ and simplify your answers.
\begin{enumerate}[label=(\roman*)]
\item $\ln(\cos x)$ [2]
\item $x^2 \sin 3x$ [2]
\end{enumerate}
\hfill \mbox{\textit{OCR C4 Q1 [4]}}