| Exam Board | Edexcel |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 8 |
| Paper | Download PDF ↗ |
| Topic | Chain Rule |
| Type | Basic power rule differentiation |
| Difficulty | Easy -1.8 This is a very routine C1 differentiation and integration question requiring only direct application of power rule formulas with no chain rule actually needed despite the topic label. Part (i) is straightforward polynomial differentiation, part (ii) is immediate second derivative, and part (iii) is basic integration of standard forms. No problem-solving or conceptual understanding required beyond formula recall. |
| Spec | 1.07i Differentiate x^n: for rational n and sums1.08b Integrate x^n: where n != -1 and sums |
\begin{enumerate}[label=(\roman*)]
\item Given that $y = 5x^3 + 7x + 3$, find
\begin{enumerate}[label=(\alph*)]
\item $\frac{dy}{dx}$, [3]
\item $\frac{d^2y}{dx^2}$. [1]
\end{enumerate}
\item Find $\int \left(1 + 3\sqrt{x} - \frac{1}{x^2}\right) dx$. [4]
\end{enumerate}
\hfill \mbox{\textit{Edexcel C1 Q2 [8]}}