| Exam Board | Edexcel |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 7 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Chain Rule |
| Type | Basic power rule differentiation |
| Difficulty | Easy -1.2 This is a straightforward C1 question requiring only basic application of standard power rule differentiation and integration formulas. Students need to rewrite 3/√x as 3x^(-1/2), then apply memorized rules mechanically with no problem-solving or conceptual insight required. |
| Spec | 1.07i Differentiate x^n: for rational n and sums1.08b Integrate x^n: where n != -1 and sums |
| Answer | Marks | Guidance |
|---|---|---|
| Answer/Working | Marks | Notes |
| (a) \(= 1 - \frac{3}{2}x^{-\frac{3}{2}}\) | M1 A2 | |
| (b) \(= \frac{1}{2}x^2 + 5x + 6x^{\frac{1}{2}} + c\) | M1 A3 | (7) |
## Question 5:
| Answer/Working | Marks | Notes |
|---|---|---|
| **(a)** $= 1 - \frac{3}{2}x^{-\frac{3}{2}}$ | M1 A2 | |
| **(b)** $= \frac{1}{2}x^2 + 5x + 6x^{\frac{1}{2}} + c$ | M1 A3 | **(7)** |
---5. Given that
$$y = x + 5 + \frac { 3 } { \sqrt { x } }$$
\begin{enumerate}[label=(\alph*)]
\item find $\frac { \mathrm { d } y } { \mathrm {~d} x }$,
\item find $\int y \mathrm {~d} x$.
\end{enumerate}
\hfill \mbox{\textit{Edexcel C1 Q5 [7]}}