| Exam Board | Edexcel |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 10 |
| Paper | Download PDF ↗ |
| Topic | Chain Rule |
| Type | Basic power rule differentiation |
| Difficulty | Moderate -0.8 This is a straightforward C2 question testing basic differentiation and integration techniques. Part (i) requires simplifying algebraic expressions and applying standard power rule differentiation (no actual chain rule needed despite the topic label). Part (ii) is a routine definite integral. Both parts are mechanical applications of standard rules with no problem-solving or conceptual challenges, making this easier than average. |
| Spec | 1.07i Differentiate x^n: for rational n and sums1.08b Integrate x^n: where n != -1 and sums1.08d Evaluate definite integrals: between limits |
\begin{enumerate}[label=(\roman*)]
\item Differentiate with respect to $x$
$$2x^3 + \sqrt{x} + \frac{x^2 + 2x}{x^2}.$$ [5]
\item Evaluate
$$\int_1^4 \left(\frac{x}{2} + \frac{1}{x^2}\right) dx.$$ [5]
\end{enumerate}
\hfill \mbox{\textit{Edexcel C2 Q31 [10]}}