| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Chain Rule |
| Type | Basic power rule differentiation |
| Difficulty | Easy -1.8 This is a straightforward application of the basic power rule for differentiation requiring only recall of the formula d/dx(x^n) = nx^(n-1). Both parts involve single-step differentiation with no chain rule despite the topic label, and represent routine textbook exercises with minimal cognitive demand. |
| Spec | 1.07i Differentiate x^n: for rational n and sums |
| Answer | Marks | Guidance |
|---|---|---|
| \(-10x^{-6}\) isw | B1 | for \(-10\) |
| B1 | for \(x^{-6}\); ignore \(+ c\) and \(y =\) | |
| [2] | if B0B0 then SC1 for \(-5 \times 2x^{-5-1}\) or better soi |
| Answer | Marks | Guidance |
|---|---|---|
| \(y = x^{\frac{1}{3}}\) soi | B1 | condone \(y' = x^{\frac{1}{3}}\) if differentiation follows |
| \(kx^{n-1}\) | M1 | ft their fractional \(n\) |
| \(\frac{1}{3}x^{-\frac{2}{3}}\) isw | A1 | ignore \(+ c\) and \(y =\); allow 0.333 or better |
## Question 4(i):
$-10x^{-6}$ isw | B1 | for $-10$
| B1 | for $x^{-6}$; ignore $+ c$ and $y =$
| [2] | if **B0B0** then **SC1** for $-5 \times 2x^{-5-1}$ or better soi
## Question 4(ii):
$y = x^{\frac{1}{3}}$ soi | B1 | condone $y' = x^{\frac{1}{3}}$ if differentiation follows
$kx^{n-1}$ | M1 | ft their fractional $n$
$\frac{1}{3}x^{-\frac{2}{3}}$ isw | A1 | ignore $+ c$ and $y =$; allow 0.333 or better
---4 Find $\frac { \mathrm { d } y } { \mathrm {~d} x }$ when\\
(i) $y = 2 x ^ { - 5 }$,\\
(ii) $y = \sqrt [ 3 ] { x }$.
\hfill \mbox{\textit{OCR MEI C2 Q4 [5]}}