| Exam Board | OCR |
|---|---|
| Module | C4 (Core Mathematics 4) |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Differentiating Transcendental Functions |
| Type | Differentiate trigonometric functions |
| Difficulty | Moderate -0.3 This is a straightforward differentiation question testing chain rule and quotient rule with standard trigonometric functions. Part (i) requires chain rule with a standard derivative, while part (ii) uses quotient rule with basic trig functions. Both are routine C4-level exercises requiring standard techniques without problem-solving or novel insight, making it slightly easier than average. |
| Spec | 1.07k Differentiate trig: sin(kx), cos(kx), tan(kx)1.07r Chain rule: dy/dx = dy/du * du/dx and connected rates |
Differentiate each of the following with respect to $x$ and simplify your answers.
\begin{enumerate}[label=(\roman*)]
\item $\cot x^2$ [2]
\item $\frac{\sin x}{3 + 2\cos x}$ [4]
\end{enumerate}
\hfill \mbox{\textit{OCR C4 Q3 [6]}}