| Exam Board | Edexcel |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Topic | Chain Rule |
| Type | Basic power rule differentiation |
| Difficulty | Easy -1.2 This is a straightforward C1 differentiation and integration question requiring only basic power rule application. Part (a) involves rewriting x^(-2) and differentiating term-by-term (routine 2-mark work), while part (b) requires integrating the same expression using standard rules. No chain rule is actually needed despite the topic label, and both parts are mechanical applications of fundamental techniques with no problem-solving element. |
| Spec | 1.07i Differentiate x^n: for rational n and sums1.08b Integrate x^n: where n != -1 and sums |
Given that $y = 6x - \frac{4}{x^2}$, $x \neq 0$,
\begin{enumerate}[label=(\alph*)]
\item find $\frac{dy}{dx}$, [2]
\item find $\int y \, dx$. [3]
\end{enumerate}
\hfill \mbox{\textit{Edexcel C1 Q2 [5]}}