| Exam Board | Edexcel |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 10 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Chain Rule |
| Type | Basic power rule differentiation |
| Difficulty | Moderate -0.8 This is a straightforward C2 calculus question testing basic differentiation and integration rules. Part (i) requires simplifying algebraic fractions and applying power rule differentiation, while part (ii) involves direct integration of simple functions and substituting limits. Both parts are routine exercises with no problem-solving or conceptual challenges beyond standard technique application. |
| 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 marks]
\item Evaluate
$$\int_1^4 \left(\frac{x}{2} + \frac{1}{x^2}\right) dx.$$ [5 marks]
\end{enumerate}
\hfill \mbox{\textit{Edexcel C2 Q2 [10]}}