| Exam Board | OCR MEI |
|---|---|
| Module | C3 (Core Mathematics 3) |
| Year | 2008 |
| Session | January |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Chain Rule |
| Type | Chain rule with single composition |
| Difficulty | Moderate -0.8 This is a straightforward application of the chain rule to a single composition function with a simple power. It requires recognizing the outer function as a cube root (power 1/3) and the inner function as a polynomial, then applying the standard chain rule formula—a routine technique tested frequently at this level with minimal problem-solving required. |
| Spec | 1.07r Chain rule: dy/dx = dy/du * du/dx and connected rates |
1 Differentiate $\sqrt [ 3 ] { 1 + 6 x ^ { 2 } }$.
\hfill \mbox{\textit{OCR MEI C3 2008 Q1 [4]}}