| 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 question testing basic differentiation and integration of power functions. Part (a) requires applying the power rule to two simple terms (rewriting 6/x as 6x^{-1}), and part (b) requires reversing the process. Both are routine procedures with no problem-solving or conceptual challenge beyond direct application of standard rules. |
| Spec | 1.07i Differentiate x^n: for rational n and sums1.08b Integrate x^n: where n != -1 and sums |
Given that $y = 2x^2 - \frac{6}{x}$, $x \neq 0$,
\begin{enumerate}[label=(\alph*)]
\item find $\frac{dy}{dx}$, [2]
\item find $\int y \, dx$. [3]
\end{enumerate}
\hfill \mbox{\textit{Edexcel C1 Q4 [5]}}