| Exam Board | WJEC |
|---|---|
| Module | Unit 3 (Unit 3) |
| Year | 2022 |
| Session | June |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Chain Rule |
| Type | Chain rule with single composition |
| Difficulty | Moderate -0.8 This is a straightforward differentiation question testing product rule (part a) and chain rule (part b) with standard functions. Both parts are routine applications of core techniques with no problem-solving required, making it easier than average but not trivial since it requires correct application of two different rules. |
| Spec | 1.07q Product and quotient rules: differentiation1.07r Chain rule: dy/dx = dy/du * du/dx and connected rates |
Differentiate the following functions with respect to $x$.
a) $x ^ { 3 } \ln ( 5 x )$\\
b) $( x + \cos 3 x ) ^ { 4 }$
\hfill \mbox{\textit{WJEC Unit 3 2022 Q2}}